!}'!•!:: 




A SYSTEM OF 
GEOMETEY AND TRIG0N0JM&TRY| 

WITH A I 

TREATISE ON SURVEYING; 

IN WHICH THE PICINCIPLES OP 

RECTANGULAR SURVEYING, 

WITHOUT PLOTTING, ARE EXPLAINED. 



BY ABEL FLINT, A. M. 



EIOHTH HDITIOET^ ENI^ARGED, 



ADDXTIONAZ^ TABtiMS. 



BY GEO*RGE GILLET, 

SURVEYOR GENERAL OF CONNECTICBT. 



HARTFORD. 
BELKNAP & HAMERSLEY. 

NEW YORK; 

COOKE & CO. 

1835. 



DISTRICT OF CONNECTICUT, ss. 

Be it remembered, That on the second day of August, in 
Li. S. the fifty- fifth year of the Independence of the United States of 
America, Oliver D. Cooke, of the said district, hath deposited in 
this office the title of a book, the right whereof he claims as proprietor, in 
the words following, to wit: " A system of Geometry and Trigonometry, 
with a treatise on Surveying ; comprising various methods of taking the 
survey of a field, with directions for protracting and finding areas ; in 
which, also, the principles of Rectangular Surveying, by which Areas may 
be accurately calculated without plotting, are fully explained : with a com- 
plete series of Mathematical Tables, and the necessary explanations. By 
Abel Flint, A. M. With improvements by George Gillet, Surveyor Gen- 
eral of Connecticut. Sixth edition, revised and enlarged, by the addition of 
copious notes and illustrations, and a concise Treatise on Logarithms, by 
Frederic A. P. Barnard A. B. Instructor in Mathematics, in the Hartford 
Grammar School, and Author of a Treatise on Arithnnetic." In conformi- 
ty to the Act of Congress of the United States, entitled, " An act for the en- 
couragement of learning, by securing the copies of Maps, Charts, and 
Books, to the authors and proprietors of such copies, during the times 
therein mentioned." And also to the Act entitled, " An act supplementa- 
ry to an act entitled, ' An act for the encouragement of learning, by secu- 
ring the copies of Maps, Charts, and Books, to the Authors and proprietors of 
such copies, during the times therein mentioned,' and extending the benefits 
thereof to the arts of designing, engraving and etching historical and other 
prints." CHARLES A. INGERSOLL, 

Clerk of the District of Connecticut. 
A true copy of record, examined and sealed by me, 

CHARLES A. INGERSOLL, 

Clerk of the District of Connecticut. 



J2 :^ a s~ 



Entered according to act of Congress, in the year 1835, by Edward P 
Cooke, in the Clerk's Office of the District Court of Connecticut. 



s-'jevs'V 



ADVERTISEMENT 

TO THE EIGHTH EDITION 



The original compiler of the following work designed, in 
preparing it, to furnish a plain and concise system of Prac- 
tical Surveying. 

That he did not fail of success, has been proved, by the 
high estimation in which this treatise has been, and is, at the 
present time, held by Surveyors, and by the continued and 
increasing demand for it. 

In the present edition, practical matter has been added by 
George Gillet, Esq., Surveyor General of the state of 
Connecticut, and in addition to all the tables of the best 
treatises extant, it contains the only table of Natural Tan- 
gents ever published in this country. 

In the table of logarithms, and of logarithmic sines, &c., 
the decimals are carried to six figures, and a column of differ- 
ences is added^for the purpose of finding intermediate num-. 
bers. The use of these tables is so familiarly explained and 
illustrated by examples, that no other instruction upon this 
subject is necessary. 

The articles on distributing estates, locating and surveying 
roads, and on levelling, cannot fail of being highly useful to 
the practical surveyor. ^ 

The work being now used extensively in schools and 
academies, it has been the chief object of the publishers to 
render it acceptable as a text book. 

Hartford, November, 1835. 



The subscribers have examined in manuscript, the additions to the 
seventh edition of Flint's Surveying, by George Gillet, Esq., Surveyor 
General of Connecticut, and find them to embrace a system of correct, use- 
ful, and practical matter, judiciously arranged, and cleai-ly explained to the 
understanding of the learner. Having long acted as Surveyors vmder pub- 
tic authority, we recommend tliis virork, as containing all the elementary 
science, and requisite tables, necessary or convenient for the learner, and 
the practitioner. The present is a more full and complete system than any 
former edition. MOSES WARREN, Dep. Sur. N. London Co. 

LEMUEL INGALLS, late Dep. Sur. Windham Co. 

DANIEL ST. JOHN, Dep. Sur. Hartford Co. 

ASAHEL DEWEY, CounPu Sior. N. London Co. 

JONATHAN NICHOLS, Dep. Sur. Windham Co. 
Connecticut, August, 1832. 



Flint's Surveying has now been before the public, upwards of thirty 
years. During this period, it has passed through numerous editions, and 
been enriched from time to time, by important contributions from the pre- 
sent Surveyor General, George Gillet, Esq. The distinguishing feature 
of the work, as now published, is its excellent adaptation to the every day 
wants of the practical surveyor, while it supplies to academies and private 
students, an eminently useful, clear, and well digested system of elementary 
instruction, both in the theory and practice of Surveying. I know of no 
work in this respect, which equals it. 

E. H, BURRITT, Civil Engineer. 
New Britain, Con. Nov. 1835. 



GEOMETRY 



GEOMETRY is a science which treats of the properties 
of magnitude. 



PAST I. 

Geom.etrical Definitions. 

1. A point is a small dot; or, mathematically considered, 
is that which has no parts, being of itself indivisible. 

2. A line has length but no breadth. 

3. A superficies or surface, called also area, has length 
and breadth, but no thickness. 

4. A solid has length, breadth, and thickness. 

5. A right line is the shortest that can be drawn betwe% 
two points. 

Fig. 1. 



6. The inclination of two lines meeting 
one another, or the opening between 
them, is called an angle. Thus at B. Fig. 
1, is an angle, formed by the meeting of 
the lines AB and BC. 



7. If a right line CD. Fig. 2, fall upon 
another right line AB, so as to incline to 
neither side, but make the angles on each 
side equal, then those angles are called 
right angles ; and the line CD is said to be 
perpendicular to the other line. >. 



Fig. 2, 



2 



10 



GEOMETRY. 



Fig. 3. 



8. An obtuse angle is greater than a 
right angle ; as ADE. Fig: 3. 

9. An acute angle is less than a right 
angle ; as EDB. Fig. 3. 



Note. When three letters are used to express an angle, 
the middle letter denotes the angular point. 




10. A circle is a round figure bounded 
by a single line, in every part equally dis- 
tant from some point, which is called the 
centre. Fig. 4. 

11. The circumference or periphery of a 
circle is the bounding line; as ADEB. 
Fig. 4. 

12. The radius of a circle is a line 
drawn from the centre to the circumfe- 
rence ; as CB. Fig. 4. Therefore all radii 
of the same circle are equal. 

13. The diameter of a circle is a right 
line drawn from one side of the circumfe- 
rence to the other, passing through the cen- 
tre ; and it divides the circle into two equal 
parts, called semicircles ; as AB or DE. 
Fig. 5. 

14. The circumference of every circle 
is supposed to be divided into 360 equal 
parts, called degrees ; and each degree into 
60 equal parts, called minutes ; and each 
minute into 60 equal parts, called seconds ; 
and these into thirds, «fec. 



Fig. 4. 




Fig. 5. 




Note. Since all circles are divided into the same num- 
ber of degrees, a degree is not to be accounted a quan- 
tity of any determinate length, as so many inches or 
feet, &c. but is always to be reckoned as being the 360th 
part of the circumference of any circle, without regard- 
ing the size of the circle. 

15. An arc of a circle is any part of the circumference; 
as BF or FD. Fig. 5 ; and is said to be an arc of as many 
degrees as it contains 360th parts of the whole circle. 



GEOMETRY. 



11 




16. A chord is a right line drawn from 
one end of an arc to an other, and is the 
measure of the arc; as HG is the cord of^ 
the arc HIG. Fig. 6. 



Note. The chord of an arc of 60 degrees is equal in 
length to the radius of the circle of which the arc is a 
part. 

17. The segment of a circle is apart of a circle cut off 
by a chord ; thus the space comprehended between the arc 
HIG and the chord HG is called a segment. Fig. 6. 

19. A sector of a circle is a space contained between two 
radii and an arc less than a semicircle ; as BCD or ACD, 
Fig. 6. 



20. The sine of an arc is a line drawn Fig 7. 
from one end of the arc, perpendicular 
to the radius or diameter drawn through 
the other end : or, it is half the chord of 
double the arc ; thus HL is the sine of 
the arc HB. Fig. 7. 

21. The smes on the same diameter in- , 
crease in length till they come to the cen-^' 
tre, and so become the radius, after which 
they diminish. — Hence it is plain that the 
sine of 90 degrees is the greatest possible 
sine, and is equal to the radius. 

22. The versed sine of an arc is that part of the diameter 
or radius which is between the sine and the circumference ; 
thus LB is the versed sine of the arc HB. Fig. 7. 

23. The tangent of an arc is a right line touching the 
circumference, and drawn perpendicular to the diameter ; and 
is terminated by a line drawn from the centre through the 
other end of the arc ; thus BK is the tangent of the arc BH. 
Fig. 7. 




Note. The tangent of an arc of 45 degrees is equal in 
length to the radius of the circle of which the arc is a 
part. 



12 GEOMETRY. 

24. The secant of an arc is a line drawn from the centre 
through one end of the arc till it meets the tangent ; thus 
CK is the secant of the arc BH. Fig. 7. 

25. The complement of an arc is what the arc wants of 90 
degrees, or a quadrant : thus HD is the complement of the 
arc BH. Fig. 7. 

26. The supplement of an arc is what the arc wants of 180 
degrees or a semicircle ; thus ADH is the supplement of the 
arc BH. Fig. 7. 

Note. It will be seen by reference to Fig. 7, that the sine 
of any arc is the same as that of its supplement. So 
likewise, the tangent and secant of any arc are used 
also for its supplement. 

27. The sine, tangent or secant of the complement of any 
arc is called the co-sine, co-tangent, or co-secant of the arc ; 
thus, FH is the sine, DI the tangent, and CI the secant of the 
arc DH ; or they are the co-sine, co-tangent, and co-secant 
of the arc BH. Fig. 7. 

[The terms sine, tangent and secant, are abbreviated thus : 
sin. tan. and sec. So likewise co-sine, co-tangent and co- 
secant, are written co-sin. co-tan. and co-sec] 

28. The measure of an angle is the arc of a circle contain- 
ed between the two lines which form the angle, the angular 
point being the centre ; thus the angle HCB. Fig. 7. is mea- 
sured by the arc BH : and is said to contain as many degrees 
as the arc does. 

Note. An angle is esteemed greater or less according to 
the opening of the lines which form it, or as the arc in- 
tercepted by those lines contains more or fewer degrees. 
Hence it may be observed, that the size of an angle does 
not depend at all upon the length of the including lines ; 
for all arcs described on the same point, and intercepted 
by the same right lines, contain exactly the same num- 
ber of degrees, whether the radius be longer or shorter. 

29. The sine, tangent, or secant of an arc is also the sine^ 
tangent or secant of the angle whose measure the arc is. 

Fig. 8. 

^ 30. Parallel lines are such as are equal- A B 

ly distant from each other ; as AB and CD. 

Fig. 8. c ^ — n 



GEOMETRY. 



13 



31. A triangle is a' figure bounded by 
three lines ; as ABC. Fig: 9. 

32. x\n equilateral triangle has its three 
sides equal in length to each other. Fig. 9. 



33. An isocles triangle has two of its sides 
equal. Fig. 10. 




34. A scalene triangle has three unequal 
sides. Fig. 11- 



Fig. 11. 




Fig. 12. 



35. A right angled triangle has one 
right angle. Fig. 12. 



36. An obtuse angled triangle has one 
obtuse angle. 



37. An acute angled triangle has all its angles acute 
Fig. 9, or 10. 

38. Acute and obtuse angled triangles, are called oblique 
angled triangles, or simply oblique triangles ; in which the 
lower side is generally called the base, and the other two, 
legs. 

39. In a right angled triangle the longest side is~ called 
the hypothenuse, and the other two, legs, or base and per- 
pendicular. 




14 



GEOMETRY. 



Note. The three angles of every triangle being added 
together will amount to 180 degrees ; consequently the 
two acute angles of a right angled triangle amount to 
90 degrees, the right angle being also 90. 



40. The perpendicular height of a tri- 
angle is a line drawn from one of the an- 
gles perpendicular to its opposite side ; 
thus, the dotted line AD. Fig. 14, is the 
perpendicular height of the triangle ABC. 




Note. This perpendicular may be drawn from either of 
the angles ; and whether it falls within the triangle, or 
on one of the lines continued beyond the triangle, is 
immaterial. 



41. A square is a figure bounded by four 
equal sides, and containing four right an- 
gles. Fig. 15. 



15. 



43. A rhombus is a figure bounded by 
four equal sides, but has its its angles ob- 
lique. Fig. n. 



Fig. 16. 



42. A parallelogram, or oblong square, i — =- 
is a figure bounded by four sides, the oppo- 
site ones being equal and the angles right.* 
Fig. 16. 



Fig. 17. 



* Any four sided figure, having its opposite sides parallel, is a parallelo- 

ff am ; but, in this book, the term is understood as it is here explained. 
ometimes this figure is called a rectangle. 



GEOMETRY. 



15 



Fig. 18. 



44. A rhomboid is a figure bounded 
by four sides, the opposite ones being 
equal, but the angles oblique. Fig. 18. 



B 

45. The perpendicular height of a rhombus or rhomboi- 
des, is a line drawn from one of the angles to its opposite 
side; thus, the dotted lines AB. l^ig-5. 17 and 18, represent 
the perpendicular heights of those figures. 

Fi,^. 19. 



46. A trapezoid is a figure bounded by 
four sides, two of which are parallel though 
of unequal lengths. Fig. 19 and Fig. 20,^ 



X 



Fig 20. 

Note. Fig. 19, is sometimes called a right angled trape- 
zium. 

Fig. 21. 



47. A trapezium is a figure bounded by 
four unequal sides. Fig.-21.^ 

48. A diagonal is a line drawn between 
two opposite angles ; as the line AB. Fig. 
21. 



49. Figures which consist of more than four sides arc 
called polygons ; if the sides are equal to each other they 
are called regular polygons, and are sometimes named from 
the number of their sides, as pentagon, or hexagon, a figure 
of five or six sides, &c.; if the sides are unequal, they are; 
called irregular polygons. 




16 



GEOMETRY. 



PART II. 



Geometrical Problems. 



Fiff. 22. 



PROBLEM I. To draio a line paral- _Ji 
lei to another line at any given distance ; '■'^^~" 

as at the point D, to make a line, parallel 

to the line AB. Fig. 22. ' ^E 



-B 



With the dividers take the nearest distance between the 
point D and the given line AB ; with that distance set one 
foot of the dividers any where on the line AB, as at E, and 
draw the arc C ; through the point D draw a line so as just 
to touch the top of the arc C. 

A more convenient way to draw parallel lines is with a 
parallel rule. [The parallel rules, however, found in cases 
of mathematical instruments, are often inaccurate.] 

Fig. 23. 



PROBLEM IL To bisect a given 
line ; or, to find the middle of it.- Fig. 23. ' 



-B 



Open the dividers to any convenient distance, more than 
half the given line AB, and with one foot in A, descrihe an 
arc above and below the line, as at C and D ; with the same 
distance, and one foot in B, describe arcs to cross the former ; 
lay a rule from C to D, and where the rule crosses the line,, 
as at E, will be the middle. 

Fig. 24. 



PROBLEM III. To erect a perpendic- 
ular from the end, or any part of a given ^ .... 
line. Fig. 24.- /-''" 



-,G 



JO 



GEOMETRY. 



17 



Open the dividers to any convenient distance, as from D 
to A, and with one foot on the point D, from which the per- 
pendicular is to be erected, describe an arc, as AEG ; set off 
the same distance AD, from A to E, and from E to G ; upon 
E and G describe two arcs to intersect each other at H ; 
draw a line from H to D, and one line will be perpendicular 
to the other. 

Note. There are other methods of erecting a perpendicu- 
lar, but this is the most simple. 

Fig. 25. 

C 



PROBLEM IV. From a given 
point as at C, to drop a perpendicular \ 
on a given line AB. Fig. 25. "~^ 



With one foot of the dividers in C describe an arc to ciM 
the given line in two places, as at F and G; upon F and G 
describe two arcs to intersect each other below the line as 
at D ; lay a rule from C to D and draw a line from C to the 
given line. 

Perpendiculars may be more readily raised and let fall, by 
a small square made of brass, ivory, or wood. 



PROBLEM V. To make an angle at E, 
equal to a given angle ABC. Fig. 26. 



Open the dividers to any convenient distance, and with 
one foot in B describe the arc FG; with the same distance 
and one foot in E, describe an arc from H ; measure the arc 
FG, and lay off the same distance on the arc from H to I ; 
draw a line through I to E, and the angles will be equal. 

Fig. 27. 




PROBLEM VL To make an acute an- 
gle equal to a given number of degrees, sup- 
pose 36. Fig. 27, 





18 GEOMETRY. 

Draw the line AB of any convenient length ; from a scale 
of chords take 60 degrees with the dividers, and with one 
foot in B describe an arc from the line AB; from the same 
scale take the given number of degrees, 36, and lay it on the 
arc, from C to D ; draw a line from B through D, and the 
angle at B will be an angle of 36 degrees. 

Fis: 28. 



PROBLEM VII. To make an obtus 
angle, suppose of 110 degrees. Fig. 28. 



B 

Take a chord of 60 degrees as before, and describe an arc 
greater than a quadrant ; set off 90 degrees from B to C, and 
from C to E set off the excess above 90, which is 20 ; draw 
a line from G through E, and the angle will contain 110 de- 
grees. 

[It is best, however, in making obtuse angles, to take from 
the scale the chord of half the angle, and set it off twice. 
This will save taking two separate chords.] 

Note. In a similar manner angles may be measured; that 
is, with a chord of 60 degrees desci-ibe an arc on the 
angular point, and on a scale of chords measure the arc 
intercepted by the lines forming the angle. 

A more convenient method of making and measuring an- 
gles is to use a protractor instead of a scale and dividers. 



Fig. 29. 



PROBLEM VIII. To make a triangle ^ 

of three given lines, as BO, BL, LO. Fig. 
29, any tioo of which are greater than the 
third. 



B O 

1, 




Draw the line BL from B to L ; from B, with the length 
of the line BO, describe an arc as at O ; from L, with the 
length of the line LO, describe another arc to intersect the 
former; from O draw the lines OB and OL, and BOL will 
be the triangle required. 



GEOMETRY. 19 

Fiff. 30. 




PROBLEM IX. To make a right an- 
gled triangle, the hypolheimse and angles 
being given. Fig. 30. 



Suppose the hypothenuse CA 25 rods or chains, the an- 
gle at C 35° 30' and consequently the angle at A 54° 30'. 
See note after the 39^A Geometrical Definition. 

Note. When degrees and minutes are expressed, they are 
distinguished from each other by a small cypher at the 
right hand of the degrees, and a dash at the right hand 
of the minutes ; thus, 35° 30' is 35 degrees and 30 mi- 
nutes. 

Draw the line CB an indefinite length ; at C make an angle 
35° 30' ; through where that number of Degrees cuts the arc 
draw the line CA 25 rods, which must be taken from some 
scale of equal parts ; drop a perpendiculur from A to B, and 
the triangle will be completed. 

[A scale of equal parts may be found on one side of Gun- 
ter's scale, occupying half its length. It will be known by 
slanting lines which cross it at each end. The length of the 
scale, not occupied by these oblique lines, is equally divided 
into several larger divisions, numbered on one side, and like- 
wise twice as many smaller, numbered on the other. In ta- 
king distances from the scale, each of these divisions, (either 
the larger or the smaller, as is most convenient,) must be 
considered 1, 10, 100, &c. rods, chains, or other dimensions 
of length. If each division be called 1, it will be easy to 
take off the required number. But the scale is not usually 
long enough for this. When each division is called 10, as 
many divisions must be taken, as there are tens in the given 
number. For the excess of tens, in this case, the little scale 
with the oblique lines, is used. Each side of this little scale 
is divided into 10 equal parts, and each of these parts is, of 
course, 1. Then, to take off the hypothenuse, 25, above, we 
should take in the dividers 2 of the divisions of the large 
scale, and 5 of those of the small one. There is one of these 
little scales for the greater, and one for the smaller divisions 
of the large scale. When each division of the large scale 
is called 100, each of those of the small one becomes 10, and 
the units are found by means of the oblique lines. These 



20 



GiEOMETRY. 



are drawn across parallel lines, running the whole length of 
tlie scale, from each division on one side, to the next higher 
on the other. The parallel lines divide the width of the 
scale into 10 equal parts. Since each oblique line, then, in 
crossing the scale passes over one division of length, it is 
evident, that, in parsing one tenth across, (that is, to the 
first parallel line,) it will pass over one tenth of a division of 
length ; in passing two tenths across, (that is, to the second 
paraliel line,) it will pass over two tenths of a division of 
length, and so on. The parallel lines are numbered at the 
end of the scale. To take off a distance, containing hun- 
dreds, then, as 234, we must place one foot of the dividers 
on the second division of the larger scale, and on the paral- 
lel line marked 4, and extend the other foot to the third ob- 
lique line. Decimals may evidently be taken off in a simi- 
lar manner ; the divisions of the larger scale being made 
units, and those of the smaller, tenths and hundredths.] 

Note. The length of the two legs may be found by mea- 
suring them upon the same scale of equal parts from 
which the hypothenuse was taken. 

Fig. 31. 



PROBLEM X. To make a o-i, 
angled triangle, the a,ngles and one 
Iven. Fis\ 31. 



Suppose the angle at C 33° 15', and the leg AC 285. 

Draw the leg AC making it in length 285 ; at A erect a 
perpendicular an indefinite length ; at C make an angle of 
33° 15' ; through where that number of degrees cuts the are, 
draw a line till it meets the perpendicular at B. 

Note. If the given line CA should not be so long as the 
chord of 60°, it may be continued beyond A, for the pur- 
pose of making the angle. 

Fig. 32. 



PROBLEM XL To make a right an- 
gled triangle, the hypothenuse and one leg 
being given. Fig. 32. 4^^ 





GEOMETRY. 



21 



Suppose the hypothenuse AC 40, and the leg AB 28. 

Draw the leg AB in length 28 ; from B erect a perpendic- 
ular an indefinite length ; take 40 in the dividers, and setting 
one foot in A, wherever the other foot strikes the perpendic- 
ular will be the point C. 

Note. "When the triangle is constructed, the angles may 
be measured by a protractor, or by a scale of chords. 

Fig. 33. 



PROBLEM XII. To make a right an- 
gled triangle, the tivo legs being given. 
Fig. 33. 




Suppose the leg AB 38, and the leg BC 46. 
Draw the leg AB in length 38; from B erect a perpendic- 
ular to C in length 46 ; and draw a line from A to C. 

Fig. 34. 



PROBLEM XIII. To 

make an oblique angled tri- 
the angles and one 



side being given. Fig. 34. 




-g<g°/j;> 



Suppose the side BC 98; the angle at B 45° 15', the an- 
gle at D 108° 30', consequently the other angle 26° 15'. 

Draw the side BC in length 98 ; on the point B make 
an angle of 45° 15' ; on the point C make an angle of 26° 
15', and draw the lines BD and CD. 



Fig. 35. 



PROBLEM XIV. To make an ob- 
lique angled triangle, two sides and an 
angle opposite to one of them being given. 
Fig. 35. ^ 



9 



^c: 



Suppose the side BC 160, the side BD 79, and the angle at 
O 29o 9'. 



22 



GEOMETRY. 



Draw the side BC in length 160 ; at C make an angle of 
29° 9', and draw an indefinite line through where the de- 
grees cut the arc ; take 79 in the dividers, and with one foot 
in B lay the other on the line CD ; the point D will be the 
other angle of the triangle. 

Fig. 36. 



PROBLEM XV. To make an 
oblique angled triangle, two sides and 
their contained angle being given. 
Fig. 36. 




-2^ 



Suppose the side BC 109, the side BD 76, and the angle 
atB 101° 30'. 

Draw the side BC in length 109 ; at B make an angle of 
101° 30', and draw the side BD in length 76; draw a line 
from D to C and it is done. 

Fig.^l. , 



PROBLEM XVL 

Fig. 37. 



To make a square. 




Draw the line AB the length of the proposed Square; 
from B erect a perpendicular to C and make it of the same 
length as AB ; from A and C, with the same distance in the 
dividers, describe arcs intersecting each other at D, and draw 
the lines AD and DC. 



PROBLEM XVIL 

tangle. Fig. 38. 



To make a rec^ 




Draw the line AB equal to the longest side of the rectan- 
gle ; on B erect a perpendicular the length of the shortest 
side to C ; from C, with the longest side, and from A, with 
the shortest side, describe arcs intersecting each other at 
D, and draw the lines AD and CD. 



GEOMETRY. 



PROBLEM XVIII. To de- 
scribe a circle tohich shall pass 
through any three given points, 
not lying in a right line, as A, B, 
D. ^Fig. 39. 



,>K" 



;^ 



Fig. 39. 




Draw lines from A to B and from B to D ; bisect those 
lines by problem II. and the point where the bisecting lines 
intersect each other, as at C, will be the centre of the circle. 

PROBLEM XIX. To find the centre of a circle. 

By the last problem it is plain, that if three points be any 
where taken in the given circle's periphery, the centre of 
the circle may be found as there taught. 

Directions for constructing irregular figures of four or 
more sides may be found in the follo^ving treatise on Sur- 
veying. 



TRIGONOMETEY 



TRIGONOMETRY is that part of practical Geometry 
by which the sides and angles of triangles are measured ; 
whereby three things being given, either all sides, or sides 
and angles, a fourth may be found ; either by measuring with 
a scale and dividers, according to the Problems in Geome- 
try, or more accurately by calculation with logarithms, or 
with natural sines. 

Trigonometry is divided into two parts, rectangular and 
oblique-fin gular. 

FART I. 

RECTANGULAR TRIGONOMETRY. 

This is founded on the following methods of applying a 
circle to a triangle. 



PROPOSITION I. In every right 
angled triangle, as ABC, Fig. 40, it is 
plain from Fig. 7, compared with the 
Geometrical definitions to which that 
Figure refers, that if the hypothenuse A 
AC be made radius, and with it an arc \ 
of a circle be described from each end, 
BC will be the sine of the angle at A, 
and AB the sine of the angle at C; 
that is, the legs will be sines of their 
opposite angles. 



PROPOSITION II. If one leg, AB, 
Fig. 41, be made radius, and with it on 
the point A an arc be described, then 
BC, the other leg, will be the tangent, 
and AC the secant of the angle at A; 
and if BC be made radius, and an arc 
be described with it on the point C, then 
AB will be the tangent and AC the se- 
cant of the angle at C ; that is, if one A 




Fig. 41. 




TRIGONOMETRY. 25 

leg be made radius the other leg will be a tangent of its op- 
posite angle, and the hypothenuse a secant of the same an- 
gle. 

Thus, as different sides are made radius, the other sides 
acquire different names, which are either sines, tangents or 
secants. 

As the sides and angles of triangles bear a certain propor- 
tion to each other, two sides and one angle, or one side and 
two angles being given, the other sides or angles may be 
found by instituting proportions, according to the following 
rules. 

Rule I. To find a side, either of the sides may be made 
radius, then institute the following proportion r 

As THE NAME OF THE SIDE GIVEN, (which will be either 
radius, sine, tangent or secant ;) 

Is TO THE LENGTH OF THE SIDE GIVEN ; 

So IS THE NAME OF THE SIDE REQUIRED, (which alsO will 

be either radius, sine, tangent or secant; 

To THE LENGTH OF THE SIDE REQUIRED. 

Rule II. To find an angle, one of the^given sides must 
be made radius, then institute the following proportion : 

As THE LENGTH OF THE GIVEN SIDE MADE RADIUS ; 

Is TO ITS NAME, (that is radius ;) 

So is THE, LENGTH OF THE OTHER GIVEN SIDE ; 

To ITS NAME, (which will be either sine, tangent or se^ 
eaut. 

Having instituted the proportion, look for the correspon- 
ding logarithms, in the logarithms of numbers for the length 
of the sides ; and in the table of artificial sines, and tangents, 
for the logarithmic sine, tangent or secant. 

Add together the logarithms of the second and 
third terms, and from their s^m subtract the loga- 
rithm of the first i'erm : the remainder will be the 

LOGARITHM OF THE FOXTRTH TERM, WHICH SEEK IN THE TA- 
BLES, AND FIND ITS CORRESPONDING NUMBER, OR DEGREES 
AND MINUTES. 

See the introduction to the table of logarithms ; which 
should be attentively studied by the learner before he pro- 
ceeds any further. 

Note. The logarithm for radius is always 10, which tSs 
the logarithmic sine of 90°, and the logarithmic tangent 
of 45. 

3* 



26 



TRIGONOMETRY. 



The preceeding propositions and rules being duly at- 
tended to, the solution of the following cases of Rectangn-- 
lar Trigonometry will be easy.* 



Fig. 42. 



CASE I. 



The angles and hypothenuse given to 
find the legs. Fig. 42. 



In the triangle ABC, given the hypothenuse AC 25 rods 
or chains ; the angle at A 35° 30' : and consequently the 
angle at C 54° 30' : {See Note Geom. Def. 39.) to find the 
legs. 

Making the hypothenuse radius, the proportions will be : 




To find the leg AB. 
As radius - - - 10.000000 
: hyp. AC, 25 - 1.397940 
: : sine ACB, 54^30' 9.910686 



U.308626 

io.oqoooo 



To find the leg EC. 
As radius - - - 10.000000 
: hyp. AC, 25 - 1.397940 
: : sine CAB,. 35° 30' 9.763954 

11.161894 
10.000000 



: leg AB; 20. 35 nearly 1.308620 



legBC, 14.52nearly 1. 161894 



Note. When the first term is radius, it may be subract- 
ed by cancelling the first figure of ihe sum of the other 
two terms. 

As secants are excluded from the tables, such cases in 
Trigonometry as are solved by secants are also excluded. 

[The learner should exercise himself, in this and the fol- 
lowing rules in Trigonometry, in stating all the propor- 
tions which can be made, until he is able to do it with fa- 
eility.] 



■■ See Practical Trigonometry in the Appendix. 



TKIGONOMETKY, 



S7 



BY NATURAL SINES. 

This CASE may be solved by natural sines,* according to 
the following proportions : 

As UNITY OR 1, IS TO THE LENGTH OF THE HYPOTHENUSE, 
SO IS THE NATURAL SINE OF THE SMALLEST ANGLE, TO THE 
LENGTH OF THE SHORTEST LEG. Or, SO IS THE NATURAL 
SINE OF THE LARGEST ANGLE, TO THE LENGTH OF THE LONG- 
EST LEG. 

Or, which is the same thing, multiply the natural 

SINES OF the two ANGLES BY THE HYPOTHENUSE : THE 
PRODUCTS WILL BE THE LENGTH OF THE TWO LEGS. 



EXAMPLE. 



Nat. sine of 35° 30' 
0.58070 
Hyp. 25 



Nat. sine of 54° 30' 

0.81412 
Hyp. 25 




407060 

162824 



14.51750 

Leer BC 14.52 



20.35300 
Leg AB 20.35 



Note, The third decimal figure in the first product be- 
ing 7, the preceding figure may be called one more than 
it is, viz. 2. And whenever in any product, &c. there 
are more places of decimals than you wish to work 
with, if the one at the right hand of the last which you 
wish to retain is more than 5, add a unit to the last, be- 
cause a greater decimal number than 5 is more than half. 



Fig. 43. 



CASE II. 



The angles and one leg given to find the 
hypothenuse and the other leg. Fig. 43. 



3^a 

' See the Introduction to the Table of Natural sines. 




S8 TRIGONOMETRY. 

In the triangle ABC, given the leg AB 335, the angle at 
A 330 15' and the angle at C 56° 45' ; to find the hypothe- 
nuse and the leg BC. 

Making the hypothenuse radius, the proportions will be ; 



To find the hyfothenuse. 
As sine BCA, 56° 45' 
leg AB, 335 
: radius 
hyp. 388.6 



To find the leg BC 
As sine BCA, 56° 45' 
leg AB, 335 
: sineBAC, 33° 15' 
legBC, 213.1 



Note. If the leg BC had been given, instead of the leg 
AB, the proportions wpuld have been the same, the ob- 
vious changes being niade. 



BY NATURAL S INES. 

To solve this case by natural sines, institute the follow- 
ing proportions : 

To find the hypothenuse. As the natural sine of the 

ANGLE OPPOSITE THE GIVEN LEG, IS TO THE LENGTH OF THE 
LEG, SO IS UNITY OR 1, TO THE LENGTH OF THE HYPOTHE- 
NUSE. 

Gr which is the same thing, divide the given leg by 

THE NATURAL SINE OF ITS OPPOSITE ANGLE, AND THE QUO- 
TIENT WILL BE THE HYPOTHENUSE. 

To find the other leg. As the natural sine of the an- 
gle OPPOSITE THE GIVEN LEG, IS TO THE LENGTH OF THE 
GIVEN LEG, SO IS THE NATURAL SINE OF THE ANGLE OPPO- 
SITE THE OTHER LEG, TO THE LENGTH OF THE OTHER LEG. 



Given leg 335. Nat. sine of 56° 45', the angle opposite 
the given leg 0.83639. Nat. sine of 33° 15', the angle op- 
posite the other leg 0.54829. 

As 0.83639 : 325 : : 1 ; 388.6. 

As 0.83639 : 325 : : 0.54839 : 313.07. 



TRIGONOMETRY. 29 

CASE III. 



The hypothenuse and one leg given to 
find the angles and the other leg. Fig. 44. 




5<> 



4-0 
In the triangle ABC, given the hypothenuse AC 50 and 

the leg AB 40, to find the angles and leg BC. 
Making the hypothenuse radius, the proportion to find the 

angle ACB will be : 

As hyp. 50 - 1.698970 

: radius - - 10,000000 

: : leg AB, 40 - 1.602060 



11.602060 
1.698970 



: sine ACB, 53° 8' 9.903090 



The angle ACB being 53° 8' the other is consequentlv 
36° 52'. 

The angles being found, the l6g BC may be found by ei- 
ther of the preceding cases. It is 30. 



BV NATURAL SINES. 

The angle opposite the given \Qg may be found by the 
following proportion ; 

As THE HYPOTHENUSE IS TO UNITY OR 1, SO IS THE GIVEN 
LEG TO TRE NAT. SINE OF ITS OPPOSITE ANGLE. 

Or, which is the same thing, divide the given leg by the 

HYPOTHENUSE, AND THE QUOTIENT WILL BE THE NAT. SINK. 



The leg AB 40 divided by the hypothenuse 50 gives a 



30 TRIGONOMETRY. 

quotient 0.80000 which looked in the table of nat. sines, the 
nearest corresponding number of degrees and minutes will 
be found to be 53° 8', the angle ACB. 



BY THE SQ,TTARE ROOT. 

In this CASE the required leg may be found by the square 
root, without finding the angles ; according to the following 
proposition ; 

In every right angled triangle, the square of the 
iiypothenuse is eaual to the sum of the squares of 

THE TWO LEGS. HeNCE, 

The SQUARE of the given leg being SUBTRACTED FROM 
THE SQUARE OF THE HYPOTHENUSE, THE REMAINDER WILL 
BE THE SQUARE OF THE REQUIRED LEG. 

As in the preceding example; the square of the leg AB 
40 is 1600 ; this subtracted from the square of the hypothe- 
nuse 50 which is 2500 leaves 900, the square of the leg BC, 
the square root of which is 30, the length of leg BC as found 
by logarithms. 



CASE IV. 



The legs given to find the angles and 
hypothenuse. Fig. 45. 




7S.7 



In the triangle ABC, given the leg AB 78.7 and the leg 
BC 89 ; to find the angles and hypothenuse. 

Making the leg AB radius, the proportion to find the angle 
BAC will be ; 



TRlGONOMETRy^ 31 

As leg AB, 78.7 - 1.895975 
: radrus - - 10.000000 
: : legBC,89 - 1.949390 



11.949390 
1.895975 



tang. BAG, 48° 31' 10.053415 



The angle ACB is consequently 41° 29'. 

Makin? the leg BC radius, the proportion to find the angle 
BCA will be similar, with the obvious differences. 

The angles being found, the hypothenuse may be found by 
Case II. It is nearest 119. 



BY THE SQUARE ROOT. 

In this case the hypothenuse may be found by the square 
root without finding the angles; according to the following 
proposition. 

In every right angled triangle, the sum of the 

SaUARES OF . the TWO LEGS IS EQUAL TO THE SQUARE OF 
THE HYPOTHENUSE. 

In the above example, the square of AB 78.7 is 6193.69, 
the square of BC 89 is 7921 ; these added make 14114,69 
the square root of which is nearest 119. 



BY NATURAL SINES. 



The hypothenuse being found by the square root, the an- 
gles may be found by nat. sines, according to the preceding 



S2 TRIGONOMETRY. 

Hyp. Leg BC. Nat. Sine. 

119) 89.00000 (74789 
83 3 



The nearest degrees and minutes 
corresponding to the above nat. sine 
are 48° 24', for the angle BAG. The 
difference between this and the angle 
as found by logarithms is occasioned 
by dividing by 119, which is not the 
exact length of the hypothenuse, it 
being a fraction too much. 



109 



BY NATURAL TANGENTS. 

Leg AB. Rad. B. C. 

78.7 : 1 : : 89.0 

89.0 

Nat. Tang. 

78.7) 89.0 ( : 1.13087=48° 31' 
787 

1030 

787 

2430 
2361 



6040 
5509 



TRIGONOMETRY, 



33 



PART ZI. 
OBLIQUE TRIGONOMETRY 

The solution of the first two cases of Oblique Trigonom' 
etry depends on the following proposition. 

In all plane triangles, the sides are in proportion 
to each other as the sines of their opposite angles. 
That is, as the sine of one angle is to its opposite 

SIDE, so is the sine OF ANOTHER ANGLE TO ITS OPPOSITE 
SIDE. Or, as one SIDE IS TO THE SINE OF ITS OPPOSITE AN- 
GLE, SO IS ANOTHER SIDE TO THE SINE OF ITS OPPOSITE AN- 
OLE. 

Note. When an angle exceeds 90° make use of its sup- 
plement, which is what it wants of 180°. Note Def. 
26. Geom. 



CASE I. 



The angles and one side given to find the 
other sides. Fig. 46. 




In the triangle ABC, given the angle at B 48°, the angle 
at C 72°, consequently the angle at A 60°, and the side AB 
200, to find the sides AC and BC. 



To find the side AC. 
As sine ACB, 72° 9.978206 

: side AB, 200 - 2.301030 
: : sine ABC, 48° - 9.871073 



side AC, 156 



2.193897 



To find the side BC. 
As sine ACB, 72° - 9.978206 
: side AB, 200 - 2.301030 
: : sine BAC, 60° = 9.937531 



side BC, 182 



12.328561 
9.978206 



2,260355 



34 



TRIGONOMETRY. 



BY NATURAL SINES. 

As THE NAT. SINE OF THE ANGLE OPPOSITE THE GIVEN 
SIDE IS TO THE GIVEN SIDE, SO IS THE NAT. SINE OF THE AN- 
GLE OPPOSITE EITHER OF THE REQUIRED SIDES TO THAT RE- 
QUIRED SIDE. 

Given side 300 ; nat. sine of 72°, its opposite angle, 0.951 15; 
nat. sine of ABC 48°, 0.74314; nat. sine of BAG 60° 
0.86617. Thus, 

0.95115 : 200 : : 0.74314 : 156 

0.95115 : 200 : : 0.86617 : 182. 



CASE II. 



Two sides, and an angle opposite to one 
of them given, to find the other angles and 
fide. Fig. 47. 




240 



In the triangle ABC, given the side AB 240, the side BC 
200, and the angle at A 46° 30' ; to find the other angles and 
the side AC. 



To find the angle ACB 



As side BC, 200 
: sine BAG, 46° 30' 
: : side AB, 240 - 



2.301030 
9.860562 
2.380211 



12.240773 
2.301030 



Angle at A 
C 



460 30' 
60 30 



107.00 



Sum of the three angles ISO*^' 

Sum of two 107 
isine ACB, 60° 30' nearly 9.939743 

Angle at B 73 

The side AC will be found by case I. to be nearest 253. 

Note. If the given angle be obtuse, the angle sought 
will be acute ; but if the given angle be acute, and op- 
posite a given lesser side, then the angle found by the 
operation may be either obtuse or acute. It ought 
therefore to be mentioned which it is, by the conditions 
of the question. 



TRIGONOMETRY. 35 



BY NATURAL SINES. 

As THE SIDE OPPOSITE THE GIVEN ANGL^ IS TO THE NAT. 
SINE OF THAT ANGLE, SO IS THE OTHER GIVEN SIDE TO THE 
NAT. SINE OF ITS OPPOSITE ANGLE. 

One given side 200, nat. sine of 46° 30', its opposite an- 
gle, 0.72537, the other given side 240. 

As 200 : 0.73537 : : 240 : 0.87044=60^ 30'. 




CASE III. 



Two sides and their contained angle giv- 
en, to find the other angles and side. Fig. 

4a 

The solution of this case depends on the following prop- 
osition. 

In every plane triangle, as the sum of any two sides 

is to their difference, so is the tangent of HALF THE 
SUM OF THE TWO OPPOSITE ANGLES TO THE TANGENT OF 
HALF THE DIFFERENCE BETWEEN THEM. 

Add THIS HALF DIFFERENCE TO HALF THE SUM OF TJIE 
ANGLES AND YOU WILL HAVE THE GREATER ANGLE, AND SUB- 
TRACT THE HALF DIFFERENCE FROM THE HALF SUM AND YOU 
WILL HAVE THE LESSER ANGLE. 

In the triangle ABC, given the side AB 240, the side AC 
180, and the angle at A 36^ 40' to find the other angles and 
side. 

SideAB - 240 AB - 240 

AC - 180 AC - 180 

Sura of the two sides 420 Difference 60 

The given angle BAC 36° 40', subtracted from 180°, leaves 
143° 20' the sura, of the othei; two angles, the half of which 
is 71° 40'. 



36 



trigonometrt; 



As the sum of two sides, 420 
: their difference 60 - 
; : tangent half unknown ang. 71° 40' 



: tangent half difference, 23° 20' nearly 

The half sum of the two unknown angles, 
The half difference between them, 

Add, gives the greater angle ACB 

Subtract, gives the lesser angle ABC 

The side BC may be found by case I or 11. 



2.623249 

1.778151 

10.479695 

12.257846 
2.623249 

9.634597 

710 40^ 
23 20 

95 00 

48 23 




CASE IV. 



The three sides given to find the 
angles. Fig. 49. 



The solution of this case depends on the following prop- 
osition. 

In every plane triangle, as the longest side is to 
the sum of the other two sides, so is the difference 
between those two sides to the difference between 
the segments of the longest side, made by a perpen- 
dicular let fall from the angle opposite that side. 

Half the difference between these segments, added to half 
the sum of the segments, that is, to half the length of the 
iojfigest side, will give the greatest segment ; and this half 
difference subtracted from the half sum will be the lesser 
segment. The triangle being thus divided, becomes two 
right angled triangles, in which the hypothenuse and one leg 
are given to find the angles. 



'fSlCfONOMETRY. 



37 



fn the triangle ABC, given the side AB 105, the side AC 
85, and the side BC 50, to find the angles. 



Side AC - 85 

BC . 50 

Sum of the two sides 135 



AC 
BC 



Difference 



85' 
50 

35 



As the longest side AB, 105- 

: sura of the other two sides, 135 

: : difference between those sides, 35' 



; difference between the segnxents, 45 



2.021189 
2.130334 
1.544068 

3.674402 
2.021189 

1.653213 



Half the side AB - - - - 
Half the difference of the segments 

Add, gives the greater segment AD - 

Subtract, gives the lesser segment BD 



52.5 
22.5 



75.0 
30.0 



Thus the triangle is divided into two right angled trian- 
gles, ADC and BDC ; in each of which the hypothenuse and- 
one leg are giv'en to find the angles. 



To find the angle DCA. 
As hyp. AC, 85 - 1.929419 
: radius - - 10.000000 

: : sag. AD, 75 - 1.875061 



11.875061 
1.929419 



sine DCA, 61° 56' 9.945642 



To find the angle DCB. 
As hyp. BC, 50 - 1.698970 
: radius - - 10.000000 

: : seg. BD, 30 - 1.477121 



1 1.477121 
1. 



sine DCB, 36° 52' 9.778151 / 



The angle DCA 61° 56' subtracted from 90° leaves the 
angle CAD 28° 4' 

The angle DCB 36° 52' subtracted from 90° leaves the 
angle CBD 53° 16'. 

The angle DCA 61° 56' added to the angle DCB 36° 52' 
givesHhe angle ACB 98° 48'. 

This CASE may also be solved according to the following- 
proposition. 

In every plane triangle, as thje product of any two 
sides containing a required a^gtb is to the product 
4* 



38" TRlGONOMETRf. 

OF HALF THE SUM OF THE THREE SIDES, AND THE DIFFER- 
ENCE BETWEEN THAT HALF SUM AND THE SIDE OPPOSITE THE 
ANGLE REQUIRED, SO IS THE SQUARE OF RADIUS TO THE 
SQUARE OF THE CO-SINE OF HALF THE ANGLE REQUIRED. 



Those who make themselves well acquainted with trigo- 
nometry will find its application easy to many useful purpo- 
ses, particularly to the mensuration of heights and distances. 
These are here omitted, because as this work is designed prin- 
cipally to teach the art of common field-surveying, it was 
thought improper to swell its size, and consequently in- 
crease its price, by inserting any thing not particularly con- 
nected wi»th that art. 

It is recommended to those who design to be surveyors to 
study trigonometry thoroughly ; for though a common field 
may be measured without an acquaintance with that science, 
yet many cases will occur in practice Avhere a knowledge of 
it will be found very beneficial ; particularly in dividing 
land, and ascertaining the boundaries of old surveys. In- 
deed no one who is ignorant of trigonometry, can be an 
accomplished surveyor. 



SURTEYING. 



SURVEYING is the art of measuring, laying out, and di- 
viding land. 

FART I. 

Measuring Land. 

The most common measure for land is the acre; which 
contains 160 square rods, poles or perches; or 4 square 
roods, each containing 40 square rods. 

The instrument most in use, for measuring the sides of 
fields, is Gunter's chain, which is in length 4 rods or 66 
feet; and is divided into 100 equal parts, called links, each 
containing 7 inches and 92 hundredths. Consequently, 1 
square chain contains 16 square rods, and ten square chains 
make 1 acre. 

In small fields, or where the land is uneven, as is the case 
with a great part of the land in New England, it is better to 
use a chain of only two rods in length ; as the survey can 
be more accurately taken. 



SECTION I. 

Preliminary Problems, 

PROBLEM I. To reduce two rod chains to four rod 
chains. 

Rule. If the number of two rod chains be even, take 
half the number for four i^od chains, and annex the links if 
any; thus, 16 two rod chains, and 37 links make 8 four rod 
chains and 37 links. 

But if the number of chains be odd, take half the greatest 
even number for chains, and for the remaining number add 
50 to the link : Thus, 17 two rod chains and 42 links makes 
8 four rod chains and 92 links. 

PROBLEM II. To reduce two rod chains to rods and ds- 
ciinal paris. 



40 SURVEYING. 

Rule. Multiply the chains by 2, and the links by 4, 
which will give hundredths of a rod; thus, 17 two rod chains 
and 21 links make 34 rods and 84 hundredths ; expressed 
thus, 34.84 rods. 

If the links exceed 25, add one to the number of rods and 
multiply the excess by 4: thus, 15 two rod chains and 38 
links make 31.52 rods. 

PROBLEM III. To reduce four rod chains to rods and 
decimal parts. 

Rule. Multiply the chains, or chains and links, by 4».; 
the product will be rods and hundredths : thus, 8 chains and 
64 links make 34,56 rods. 

Note. The reverse of this rule, that is, dividing by 4, will reduce rods 
and decimals to chains and links: thus, 105.12 rods make 26 chains 
and 28 links, 

PROBLEM IV. To reduce square rods to acres. 

Rule. Divide the rods by 160, and the remainder by 40;, 
if it exceeds that number, for roods or quarters of an acre : 
thus 746 square rods make 4 acres, 2 roods, and 26 rods. 

PROBLEM V. To reduce square chains to acres. 

Rule. Divide by 10; or, which is the same thing, cut 
off the right hand figure: thus, 1460 square chains make 
146 acres ; and 846 square chains make 84 acres and 6 
tenths. 

PROBLEM VI. To reduce square links to acres. 

Rule. Divide by 100000 ; or, which is the same thing, 
cut off the 5 right hand figures : thus, 3845120 square links 
make 38 acres and 45120 decimals. 

Note. When the area of a field, by which is meant its superficial con- 
tents, is expressed in square chains and links, the whole may be con- 
sidered as square links, and the number of acres contained in the field, 
found as above. Then multiply the figures cut off by 4, and again cut 
off 5 figures, and you have the roods ; multiply the figures last cut off by 
40, and again cut off 5 figures, and you have the rods. 

Example. How many acres, roods, and rods, are there in 156 square 
chains and 3274 square links 1 

15)63274 square links. 
4 



2)53096 
40 



21)23840 
Ansiver. 15 acres 2 roods and 21 r 



Tkobz-rus for finding'the area of right lined figures, and- 
also of circles.- ^ 



SURVEYING. 41 

PROBLEM VII. To find the area of a square or rectan- 
gle. 

Rule. Multiply the length into the breadth ; the product 
will be the area. 

PROBLEM VIII. To find the area of a rhombus or 
rhomboid. 

Rule, Drop a perpendicular from one of the angles to 
its opposite side, and multiply that side into the perpendicu- 
lar ; the product will be the area. 

PROBLEM IX. To find the area of a triangle. 

Rule 1. Drop a perpendicular from one of the angles to 
its opposite side, which may be called the base ; then mul- 
tiply the base by half the perpendicular ; or the perpendicu- 
lar by half the base ; the product will be the area. Or, mul- 
tiply the whole base by the whole perpendicular, and half 
the product will be the area. 

Rule 2, If it be a right angled triangle, multiply one of 
the legs into half the other ; the product will be the area. 
Or, multiply the two legs into each other, and half the 
product will be the area. 

Rule 3. When the three sides of a triangle are known,, 
the area may be found arithmetically, as follows : 

Add together the three sides ; from half their sum subtract 
each side, noting down the remainders ; multiply the half 
sum by one of those remainders, and that product by another 
remainder, and that product by the other remainder ; the 
square root of the last product will be the area.* 

Example. Suppose a triangle whose three sides are 24, 
20, and 18 chains. Demanded the area. 

24+20+18=62, the sum of the three sides, the half of 
which is 31. From 31 subtract 24, 20, and 18 ; the three 
remainders will be 7, 11, and 13. 

31x7=217; 217x11=2387; 2387x13=31031, the square 
root of which is 176.1, or 17 acres 2 yoods and \7 rods. 

BY LOGARITHMS. 

As the addition of logarithms is the same as the multipli- 
cation of their corresponding numbers ; and as the number 
answering to one half of a logarithm will be the square root 
of the number corresponding to that logarithm : it follows, 
that if the logarithm of the half sum of the three sides and 

* Better expressed thus. From half the sum of the sides subtract each side 
separately. Multiply the half sum and the several remainders together, and 
tl|e square root of the product will be the area,— Ed. 



42 SURVEYING. 

the logarithms of the three remainders be added together, 
the number corresponding to one half the sum of those loga- 
rithms will be the area of the triangle. 

The half sum, 31 - - - 1.491362 

The first remainder, 7 - - - 0.845098 

The second remainder, 11 - - 1.041393 

The third remainder, 13 - - 1.113943 



The square of the area, 31030.083 nearly 4.491796 



Area 176 square chains 150 square links 2.245898 



Rule 4. When two sides of a triangle and their contained 
angle, that is, the angle made by those sides, are given, the 
area may be found as follows : 

Add together the logarithms of the two sides and the loga- 
rithmic sine of the angle ; from their sum subtract the lo- 
garithm of radius, the remainder will be the logarithm of 
double the area. 

Example. Suppose a triangle one of whose sides is 105 
rods and another 85, and the angle contained between them 
28° 5'. Demanded the area. 

One side, 105 ... - 2.021189 

The other side, 85 - - - - 1.929419 

Sine ande, 28° 5' - - - - 9.672795 



13.623403 
Subtract radius - - - - lO.OOOOOO 



Double area, 4200 rods nearly 3.623403 

A7iswer, 2100 rods. 

iNoTE. Radius may be subtracted by cancelling the left hand figure of 
the index, or subtracting 10, without the trouble of sitting down the 
ciphers. 

BY NATURAL SINES. 

Multiply the two given sides into each other, and that pro- 
duct by the natural sine of the given angle ; the last product 
will be double the area of the triangle. 

Nat. sine of the angle 28° 5' 0.47076. 

105x85=8925, and 8925x0.47076=4201 the double area 
of the triangle. 

PROBLEM X. To find the area of a trapezoid. 



SURVEYING. 43 

Rule. Multiply half the sum of the two parallel sides 
by the perpendicular distance between them, or the sum of 
the two parallel sides by half the perpendicular distance, the 
product will be the area. 

PROBLEM XI. To find the area of a trapezium^ or ir- 
regular four sided figure. 

Rule. Draw a diagonal between two opposite angles, 
which will divide the trapezium into two triangles. Find 
the area of each triangle and add them together. Or, multi- 
ply the diagonal by half the sum of the two perpendiculars 
let fall upon it, or the sum of the two perpendiculars by half 
the diagonal, the product will be the area. 

Note. Where the length of the four sides and of the diagonal is known, 
the area of the two triangles, into which the trapezium is divided, may 
be calculated arithmetically, according to Proe. IX. Rule 3. 

PROBLEM XII. To find the area of a figure containing 
more than four sides. 

Rule. Divide the figure into triangles, and trapezia, by 
drawing as many diagonals as are necessary, which diago- 
nals must be so drawn as not to intersect each other ; then 
find the area of each of the several triangles or trapezia, and 
add them together; the sum will be the area of the whole 
figure. 

Note. A little practice will suggest the most convenient way of draw- 
ing the diagonals ; but whichever way they are drawn, provided they 
do not intersect each other, the whole area will be found the same. 

PROBLEM XIII. Respecting circles. 

Rule 1. If the diameter be given, the circumference may 
be found by one of the following proportions : as 7 is to 22, 
or more exactly, as 113 is to 355, or in decimals, as 1 is to 
3.14159, so is the diameter to the circumference. 

Rule 2. If the circumference be given the diameter may 
be found by one of the following proportions : as 22 is to 7, 
or as 355 is to 113, or as 1 is to 0,31831, so is the circum- 
ference to the diameter. 

Rule 3. The diameter and circumference being known, 
multiply half the one into half the other, and the product 
will be the area. 

Rule 4. From the diameter only, to find the area : mul- 
tiply the square of the diameter by 0.7854, and the product 
will be the area. 

Rule 5. From the circumference only to find the area : 



44 SURVEYING. 

multiply the square of the circumference by 0.07958, and the 
product will be the area. 

Rule 6. The area being given to find the diameter; di- 
vide the area by 0.7854, and the quotient will be the square 
of the diameter ; from this extract the square root, and you 
will have the diameter. 

Rule 7. The area being given to find the circumference : 
divide the area by 0.07958, and the quotient will be the 
square of the circumference; from this extract the square root, 
and you will have the circumference. 

To find the area of an Ellipse or an Ellipsis. 

Rule. Multiply the product of the two diameters by 
0.7854, and point off from the product as many figures at the 
right hand as there are decimals in both factors, and those 
at the left will be the area of the figure. 

Example. What is the area of an ellipse, of which the 
longest diameter is 65 rods and 10 links, and the shortest is 
45 rods and 10 links. 

Longest diameter, 65.4 
Shortest diameter, 45.4 

2616 
3270 
2616 



2969.16 

.78 54 

1187664 

1484580 
2375328 
2078412 

2331.978264 
1 



160)2332(14 
160 



733 
740 



93 

A. Q. R. 

Answer, 14 2 13 



URVEYINa. 



45 



SECTION II. 

The following cases teach the most usual methods of 
taking the survey ot fields ; also, how to protract or draw a 
plot of them, and to calculate their area. 

Note. Hhe field-book is a register containing the length of the sides of 
a field, as fovind by measuring them with a chain ; also the bearings or 
courses of the sides, or the quantity of the several angles, as found by a 
compass or other instrument for that purpose ; together with such re- 
marks as the surveyor thinks proper to make in the field. 



CASE I. 

To survey a triangular field. 

Measure the sides of a field with a chain, and enter their 
several lengths in a field-book, protract the field on paper, 
and then find the area by prob. IX. Rule 1. Or, without 
pletting the field, calculate the area by prob. IX. rule 3. 

Fig. 50. 
TIELD BOOK. See Fig. 50. 

Chains. 



AB 


. 


20 


BC 


. 


24 


CA 


. 


18 


To find 


%e area. 






Ch. L. 


Base BC 


. 


- 24.00 


Half perp 


AE 


- 7.34 

9600 
7200 
16800 




2oe/i>, 



Acres 17)61600 
4 



Roods 2)46400 
40 



Rods 18)56000 



Acres Roods Rods 
Area 17 — 2—18.56 



46 SURVEYING. 

Note. When there are ciphers at the right hand of the links, they may 
be rejected ; remembering to cut off a proper number of figures accord- 
ing to decimal rules. 

Observe, That in measuring with a chain, slant or inclined 
surfaces, as the sides of hills, should be measured horizon- 
tally, and not on the plane or surface of the hill ; otherwise, 
a survey cannot be accurately taken. To effect this, the 
lower end of the chain must be raised from the ground, so 
as to have the whole in a horizontal line ; and the end thus 
raised must be directly over the point where the chain be- 
gins or ends, according as you are ascending or descending 
a hill ; which point may be ascertained by a plummet and line. 



CASE II. 

To survey/ afield in the form of a trajpezium. 

Measure the seA'^eral sides, and a diagonal between two op- 
posite angles ; protract the field, and find the area by prob- 
lem XI. Or, without protracting the field, calculate the 
area according to the note at the end of that problem. 

Fis: 51. 



3>' 



FIELD-BOOK 


Seel 




Ch. L 


AB 


27.50 


BC 


11.70 


CD 


21.50 


DA 


14.70 


Diag. AC 


72. 




to protract this trapezium. 

Draw the side AB, the given length ; Avith the diagonal 
AC 28 and the side BC 11.70 describe cross arcs as at C, 
from A and B as centres ; and the point of intersection will 
represent that corner of the field : then, with the side CD 
31.50 and the side AD 14.70, describe cross arcs as atD, from 
A and C as centres ; and the point of intersection will repre- 
sent that corner of the field. 



SURVEYING. 47 



TO FIND THE AREA. 



Perpendicular B a - - 11.34 

— Dm - - 11.10 



22.44 

Half diagonal AC - - 14.00 



897600 

2244 



Acres 31)416 
4 



Rood 1)664 
40 



Rods 26)560 

Acres Rood Rods 
Area 31 — 1 — 26.56 



Note. The perpendiculars need not be actually drawn ; their length 
may be obtained as follows : from the angle opposite the diagonal open 
the dividers so as when one foot is in the angular point, as at B, the 
other, being moved backwards and forwards, may just touch the diago- 
nal at A, and neither go the least above or below it ; that distance in 
the dividers being measured on the scale wiU give the length of the per- 
pendicular. 



CASE III. 

To SURVEY A FIELD WHICH HAS MORE THAN FOUR SIDES, 
BY THE CHAIN ONLY. 

Measure the several sides, and from some one of the angles 
from which the others may be seen, measure diagonals to 
them ; draw a plot of the field, and find the area by prob- 
lem XII. 



48 SURVEYING. 

FIELD-BOOK. See Fig. b2 



Fig. 53. 



AB 
BC 
CD 
DE 
EF 
FA 




30 6>7 



Ch. L. 
30.60 
20.40 
22.40 
16.20 
13.50 
28. 



Diagonals. 



AC 
AD 
AE 



Ch. L. 
45. 
35. 
24.20 



TO PROTRACT THIS FIELD. 

Draw the side AB, making it the given length 30.60 ; 
with the diagonal AC 45 and the side BC 20.40, describe 
cross arcs as at C, from the points A and B as centres, and 
the point of intersection will represent that corner of the 
field ; draw the side BC and the dotted diagonal AC ; with 
the diagonal AD 35 and the side CD 22.40, describe cross 
arcs as at D, from the points A and C, and draw the side CD 
and the dotted diagonal AD. Proceed in this manner till 
all the sides and diagonals are drawn. 



TO FIND THE AREA. 



The field being plotted, may be divided into one trapezium 
and two triangles ; the area of which is calculated as foK 



SURVEYING. 



49 



The trapezium ABCD. 



Perpend. B a 
— Do 



Half diag. AC 



Square chains 



11.68 Half perp. Em 



17.10 

27.78 
22.50 



143900 
5756 
5756 



647.5500 



The triangle AFE. 



Perpend. E n 
Half side AF 



Square chains 

Acres Roods Rods 
Area98 — — 344 



11.65 
14 



4660 
1165 



163.10 



The triangle ADE. 



Diag. AD 



Square chains 



Trap. ABCD 
Triangle ADE 
Triangle AFE 



4.90 
35 

2450 
1470 

171.50 



647.55 
171.50 
163.10 

Acres 98)215 
4 

Roods .860 
40 

Rods 34)400 



REMARKS. 

As each of the sides of the several triangles, into which the 
preceding plot of a field is divided, is known from the field- 
book, the area of the field may be calculated arithmetically, 
by finding the area of each triangle, according to prob. IX. 
Rule 3 ; and then adding the whole together. This method, 
though it may require more time, is preferable to the other, 
because more accurate. Indeed it is always better to calcu- 
late the area of a field arithmetically than geometrically; 
for in tlie former no two persons can differ in their calcula- 
tions : whereas, according to the latter, which is the com- 
mon method of casting the contents of a field, it is hardly to 
be expected that any two persons will perfectly agree. The 
inaccuracy of scales, and the difficulty of determining with 
precision the length of sides and perpendiculars with a scale 
and dividers, render it almost if not quite impossible to ob- 
tain the exact area of a field, in the method commonly prac- 
tised, even if the surveyor has measured it accurately in the 
first place. 5* 



60 SURVEYING. 

Other methods of taking the survey of a field by the chain 
only, are mentioned in some treatises on this subject, but they 
are rather curious than useful; and it is much better to as- 
certain the angles by an accurate compass, or some instru- 
ment designed purposely for taking angles. 



C A S E I V . 

TO SURVEY A FIELD WITH A CHAIN AND COMPASS. 

Measure the length of the sides with a chain, and take 
their bearing or course with a compass* enter these in a 
field-book; plot the field on paper, and calculate the area by 
the directions already given. 

TO PROTRACT 0R DRAW A MAP OF A FIELD. 

Draw a line to represent a meridian, or north and south 
line, from which lay off a bearing or course of the first side 
of the field, with a protractor or from a line of chords ; and 
from a scale of equal parts, measure the length of the side and 
draw a line to represent it. 

At the end of this line draw a line parallel to the meridian 
line, and then lay off" the second side of the field as before 
taught; proceed in the same manner to draw parallel lines, 
and lay off the several sides till the whole is protracted. 

In protracting a field, let the top of the paper be considered 
as north, the bottom south, the right hand east, and the left 
hand west ; lay the course to the right or left of the meridian 
line, according as it is east or west, and upwards or down- 
wards, according as it is north or south. 

In all protractions, if the end of the last distance falls ex- 
actly on the point from which you began, the course also 
being right ; the field work and protractions are truly taken 
and performed ; if not, an error must have been committed 
in one of them : in such cases, make a second protraction ; 
if this agrees with the former, it is to be presumed the fault 
is in the field work ; a re-survey must then be taken. 

*A compass may be so constructed with two indexes, one moveable and 
the other fixed, as to ascei-tain the angles made by two sides, without refer- 
ence to the bearing of tliose sides. Sucli a compass would be particularly 
useful in surveying land where tliere are mineral substances which have an 
influence upon the compass needle, attracting it one way or the other, and 
thus rendering it impossible to take a course by it with precision. 



SURVEYING. 51 



FIELD BOOK. See Fig. 53. 
Ch. L. 
AB. N. 7° 0' W. 28.20 
BC. N. 74 E. 39.50 
CD. S. 9 E. 38. 
DE. N. 63 20 W. 14.55 
EA. S. 74 W. 28.60 

Acres Roods Rods 
^reall7 — 1 — 6 




REMARKS. 

The sides of the several triangles into which the plot of a 
field is divided may be found by trigonometry ; and then the 
area of each triangle may be calculated according to prob. 
IX. Rule 3. The sum of the areas of the several triangles 
"*^vill be the area of the whole field. This method may re- 
quire more time, but it is perfectly accurate, since no de- 
pendence is placed on the uncertain measurement of scale 
and dividers. 

In the preceding example, suppose the field divided into 
three triangles. 8ce Fig. 53. In the triangle EAB, the 
sides EA and AB are known from the field book, and their 
contained angle is known from the bearing of the sides. 
The other angles and the side EB may be found by oblique 
TRIGONOMETRY, CASE III. ; aud then there Avill be the three 
Sides to find the area. In the triangle EBC, the side BC is 
known from the field book, and the side EB is found as 
above mentioned ; the angle EBA is also found as above : 
this subtracted from the angle ABC, which may be found 
from the bearing of the sidps AB and BC, will leave the an- 
gle EBC; there will then be the two sides and their con- 
tained angle to find the third side ; and this being found, 
there will be the three sides to find the area. In the trian- 
gle EDC, the sides DE and DC are known from the field 
BOOK, and their contained angle is known from the bearing 
of the sides. The side EC and the area may be found as 
above. 

It is recommended to the learner to make these cakula- 



52 SURVEFING. 

tioos, as it will improve him in the knowledge of trigonome- 
try. 

I'Iotb. Two sides and their contained angle being given, the area may 
be found by prob. IX. Rule 4. 



ANOTHER METHOD OF PROTRACTING FIELDS. 

Without drawing parallel lines at the end of each side, a field 
may be protracted by the angles made by the several sides ; 
and the angle made between any two sides may be found by 
the following rules- 
Rule 1. If the course or bearing of one of the sides is 
north and the other south, one east and the other west, sub- 
tract the less course from the greater. 

Rule 2. If one is north and the other south, and both 
east or west, add both courses together. 

Rule 3. If both are north or south, and one east and the 
other west, subtract their sura from 180° 

Rule 4. If both are north or south, and both east or 
west, add the less course, to the supplement of the greater. 

In each case, the result will give the angle contained by 
the two sides. 

To protract a field according to the preceding rules is 
preferable to the method of doing it by parallel lines, though 
it may not be so easy to the learner at first. It is difficult 
to draw parallel lines with perfect accuracy, and a small de- 
viation from a true line may make considerable difl^erence in 
the plot of a field.* 



EXAMPLE II. 

FIELD BOOK. See Fig. 54. 

Ch. L. 
AB. N. 16° 30' E. 22. 
BC. N. 82 E. 19.60 
CD. S. 17 E. 24. 
DE. S. 37 W. 22. 
EA. N. 49 W. 25.20 

Area 84 acres. ' g 

See Appendix No. 7. 




SURVEriNG, 



53 



TO DRAW A PLOT OE THIS FIELD, ACCORDING TO THE PRE- 
CEDING RULES, 

Having drawn the side AB, according to the directions be- 
fore given for laying off the first course and distance, com- 
pare the first and second courses together, and they will be 
found to be both north and both east ; consequently, the an- 
gle between them is found by rule 4, as follows : 16° 30' 
the less course, and 98° the supplement of the greater being 
added, the sura is 114° 30', for the angle at B. Compare the 
second and third courses, and they will be found to be one 
north and one south, and both east ; consequently, according 
to RULE 2, 82° the second course added to 17° the third 
course, the sum 99° is the angle at C. The third and fourth 
courses are both south, and one east and the other west. 
The angle between them at D is 126° ; for 17° the third 
course added to 37° the fourth course is 54*^, which subtracted 
from 180O leaves 126<^, according to rule 3. The fourth and 
fifth courses are one south and the other north, and both 
west. According to rule 2, 27^ the fourth course added to 
490 the fifth course, the sum 86^ is the angle at E. 

A little practice will render this mode of protracting a field 
familiar and easy,^ and an attention to the courses will show 
in what direction the angle is to be made. 



EPAMPLE III. 

FIELD BOOK. See Fig. 55. 




54 





SURVEYING. 














Ch. L. 


AB. 


N. 


560 


15' 


E. 


21.60 


EC. 


N. 


26 


30 


E. 


13.44 


CD. 


S. 


71 


30 


E. 


18.96 


DE. 


S. 


26 


30 


E. 


13.44 


EF. 


s. 


71 


30 


W. 


18.96 


FG. 


s. 


45 





E. 


8.47 


GH. 


s. 


63 


30 


E. 


13.44 


HI. 


N. 


45 





E. 


8.47 


IK. 


s. 


26 


30 


E. 


13.44 


KL. 


s. 


45 





W. 


8.47 


LM. 


s. 


63 


30 


W. 


13.44 


MN. 


N. 


76 





W. 


24.73 


NA. 


N. 


36 


45 


W. 


30. 


Acres Roods Rods 








Area 167—1 


—30 









The above field may be protracted, and its area calculated 
accoi'diag to the directions given in the preceding examples. 



SEVERAI. FIELD BOOKS TO EXERCISE THE LEARNER IN PLOT- 
TING FIELDS AND CALCULATING THEIR AREA. 

















Ch. L. 




No. I 


. 


Rods 


8. 


N. 


53o 15' W. 


11.60 


1. 


N. 15° 


E. 


320 


9 


N. 


36 45 E. 


19.20 


2. 


N. 37 30 


E. 


160 


10. 


N. 


22 30 K 


14, 


3. 


East 




120 


11. 


S. 


76 45 E. 


12. 


4. 


S. 11 


E. 


200 


12. 


S. 


15 W. 


10.85 


5. 


South 




216 


13. 


s. 


16 45 W. 


10.12 


6. 


West 




160 




Acres Roods Rods. 


7. 


S. 36 30 


W. 


160 




Area 


110 — 2 — 23 




S. 


N. 38 15 


W. 


136 












Acres Roods 


Rods 






No. III. 


Rods 




Area 744 - 


-3- 


-28 


1. 


S. 


650 40' W. 


49.7 






_ 




2. 


S. 


67 15 W. 


34.5 




No. ] 


[I. 


Ch. L. 


3. 


S. 


54 W. 


17.9 


1. 


N. 750 0' 


E. 


13.70 


4. 


S. 


20 W. 


5.8 


2. 


N. 20 30 


E. 


10.30 


5. 


S. 


7 30 E. 


29.4 


3. 


East 




16.20 


6. 


N. 


83 E. 


107.4 


4. 


S. 33 30 


W. 


35.30 


7. 


N. 


5 50 W. 


22. 


5. 


S. 76 


W. 


16. 


8. 


N. 


18 30 W. 


46, 


6. 


North 




9. 






A.cres Roods Rods. 


7. 


S. 84 


W. 


11.60 




Area 34—1 — 19 







SURVEYING. 








59 






NO. IV. 


Rods. 












Rods. 


1. 


N. 


43° 0' W. 


12.44 


10. 


N. 


64° 


0' 


E. 


12.5 


3. 


N. 


64 W. 


8. 


11. 


N. 


49 





E. 


14. 


3. 


N. 


52 W. 


14.60 


12. 


N. 


26 


10 


W. 


19.3 


4. 


N. 


37 5 W. 


51.36 


13. 


N. 


21 





W. 


18.3 


5. 


N. 


15 30 W. 


21.76 


14. 


N. 


44 


10 


W. 


18. 


6. 


N. 


20 40 W. 


44.60 


15. 


N. 


64 


40 


E. 


30.5 


7. 


N. 


88 20 E. 


167.60 


16. 


N. 


18 


30 


W. 


39. 


8. 


S. 


34 40 E. 


71.20 


17. 


N. 


86 


5 


E. 


26.7 


9. 


S. 


75 W. 


69.72 




A 


ores 


Rood Rod. 


10. 


s. 


55 W. 


64.60 


A 


Tea, 


i8 - 


- 1 - 


- 12 




11. 


s. 


25 W. 


18,12 






- 










Acres Roods Rods. 






No 


.VII 




Ch. L. 


Area 97 — 2 — 29 


1. 


N. 


0° 


45' 


W. 


9. 










2. 


N. 


19 


30 


W. 


5,35 






No. V. 


Rods. 


3. 


N. 


23 





w. 


4,09 


1. 


S. 


11° 50' W. 


34,6 


4. 


N. 


41 


35 


w. 


6.15 


2. 


S. 


63 20 E. 


93.6 


5. 


N. 


3 





w. 


36.75 


3. 


N. 


4 W. 


34.9 


6. 


S. 


86 


50 


w. 


13,33 


4. 


S. 


89 55 E. 


40.1 


7. 


N. 


2 


15 


w. 


17,65 


5. 


N. 


5 20 W. 


35.5 


8. 


N. 


85 


45 


E. 


12.56 


6. 


N. 


69 40 W. 


60. 


9- 


S. 


2 


10 


E. 


8. 


7. 


S. 


78 W. 


30.6 


10. 


N. 


86 


45 


E. 


7',38 


8. 


N. 


67 20 W. 


1.2 


11. 


S. 


3 


15 


E. 


13.20 


9. 


S. 


72 30 W. 


10.4 


12. 


N. 


87 





E. 


29.92 


10. 


S. 


66 55 W. 


15.2 


13. 


N. 


49 


20 


E. 


4.04 




Acres Rood Rods. 


14. 


North 






2.23 


Area 41 — 1—34 


15. 


N. 


50 


35 


E. 


6.50 










16. 


S. 


22 


50 


E. 


17.94 






No. VI. 


Rods, 


17. 


S. 


34 





V^. 


.3.50 


1. 


S. 


34° 0' E. 


42,8 


18. 


S. 


41 





W. 


3. 


2. 


S. 


29 E. 


69.4 


19. 


s. 


22 


50 


w. 


9.25 


3. 


S. 


64 50 W. 


53. 


20. 


s. 


3 


40 


E. 


2.64 


4. 


S. 


25 E. 


4. 


21. 


s. 


86 





W. 


2.50 


5. 


S. 


66 30 W. 


39. 


22. 


s. 





25 


W. 


14.50 


6. 


N. 


25 W. 


4. 


23. 


s. 


2 





W. 


5.38 


7. 


S. 


64 45 W. 


322 


24. 


s. 


10 





E. 


11.75 


8. 


N. 


30 30 W. 


18,3 


25. 


s. 


86 





W. 


34.60 


9. 


N. 


56 30 E. 


34,5 




A 


Lcres 


Roods Re 


ds. 








A 


rea 


268 - 


- 3 


— 7 





CASE V . 

To SURVEY A FIELD FROM ONE STATION AT ANY PLACE 



56 



SURVEYING. 



WITHIN THE FIELD, FROM WHICH THE SEVERAL ANGLES MAY 

BE SEEN. 

Take the bearing of the angles, and measure their distance 
from the station. 



FIELD BOOK. See Fig. 56. 



Fig. 56. 




From station to A, N. 20° W. 8.70 

B. N. 60 E. 10. 

C. N. 87 E. 11.40 

D. S. 15 E. 10.50 

E. S. 60 W. 12. 

F. N. 65 W. 8.78 



TO PROTRACT THIS FIELD. 

Draw a meridian line as N. S. From some point in that 
line as a centre, lay off the bearing and distance to the sev- 
eral angles, and draw lines from one angle to another, as 
AlB, BC, CD, &c. 



TO FIND THE AREA. 

The Area may be calculated according to pros. XII. by 
measuring diagonals and perpendiculars ; or more accurately 
according to prob. IX. rule 4. 

As the bearing and distance of the lines from the station to 
the several angles are known, two sides and their contained 
angle are given in each of the triangles into which the plot 
is divided ; the area may, therefore, be readily calculated by 
the RULE above referred to. 



Note. As in the operation, the logarithm of radius is to be subtracted 
from the sum of the other logarithms, it may be done by rejecting the 
the left hand figure, without the trouble of putting down tlie cyphers 
and subtracting. 



SURVEYING, 



57 



Triangle 
aA,8.70 - 
aB, 10 
Sine AaB, 80° - 

Doub. area, 85.67 

Triangle 
aB, 10 
aC, ] 1.40 - 
Sine BaC, 27° - 

Doub. area, 51.75 

Triansle 
aC, 11.40 - ^- 
aD, 10.50 - 
Sine CaD, 78° - 

Doub. area, 117 



aAB. Triangle aDE. 

- 0.939519,aD, 10.50 - - - 1.021189 



- 1.000000 

- 9.993351 

- 1.932870 

aBC. 

- 1.000000 

- 1.056905 

- 9.657047 

- 1.713952 
aCD. 



aE, 12 
lineDaE,75o - 

Doub. area, 121.7 



1.079181 
9.824944 



2.085314 



Triangle aEF. 
aE, 12 - - - 1.079181 
aF, 8.78 - - - 0.943495 
Sine EaF, 55° - - 9,913365 



Doub. area, 86.31 



1.936041 



Triangle aFA. 
1.056905 aF, 8.78 - - - 0.943495 
1.021189 aA, 8.70 - - - 0.939519 
9.990404 Sine FaA, 450- - 9.849485 



2.068498 



Doub. area, 54.01 



1.732499 



Triangle aAB 
aBC 
aCD 
aDE 
aEF 
aFA 

Double area 

Area 



85.67 827 

51.75 4 

117.1 

121.7 3)308 

86.31 40 

54.01 

12)320 

516.54 Acres Roods Rods. 

■ Area 25 — 3 — 12.32 

25)827 



CASE VI. 

To STJRVHY A FIELD FROM SOME ONE OF THE ANGLES, FROM 
WHICH THE OTHERS MAY BE SEEN.* 

From the stationary angle take the bearing and distance 
to each of the other angles, with a compass and chain. 



This method of practice is subject to much error. 
6 



58 SURVEYING. 

FIELD BOOK. See Fig. 57. 




Ch. L. 
FG. N. 70o W. 14.60 



FA. N. 50 

FB. N. 30 

FC. N. 10 

FD. N. 7 

FE. N. 30 



W. 18.20 

W. 16.80 

W. 21.20 

E. 16.95 

E. 8.50 



TO DRAW A PLOT OF THIS FIELD. 

Draw a meridian line to pass through the stationary angle 
as at F. From the point F, lay off the bearing and distance 
to the several angles, and connect them by lines, as FG, FA, 
FB, &c. 

The area may be calculated as taught in the preceding 

CASE. 



CASE VII 



To SURVEY A FIELD FROM TWO STATIONS WITHIN THE 
FIELD, PROVIDED THE SEVERAL ANGLES CAN BE SEEN FROM 
EACH STATION. 

Find the bearing from each station to the respective an- 
gles ; and also the bearing and distance from one station to 
the other. 



SURVEYING. 

FIELD BOOK. See Fig, 58. 



59 





JFirst Station. 




AC. 


N. 38° 30' 


E. 


AD. 


S. 69 


E. 


AE. 


S. 59 


W. 


AF. 


N. 63 


W. 


AG. 


N. 21 


W. 


AH. 


North. 






BC. 
BD. 
BE. 
BF. 



Second Station. 
S. 82° 0' E. 



S. 17 

S. 28 



E. 

w. 



S. 49 W. 



BG. N. 76 W. 
BH. N. 24 W. 
Stationary line AB. N. 14° E. 20 chains. 



TO PROTRACT THIS FIELD. 

At the first station A, draw a meridian line and lay off the 
bearings to the respective angles ; draw the stationary line 
AB, according to the bearing and distance ; at B draw a 
meridian line parallel to the other, and lay off the bearings 
to the angles, as taken from this station ; from each station 
draw lines through the degree which shows the bearing of 
each angle, as marked by the protractor or line of chords, 
and the points where those lines intersect each other will be 
the angles of the field. Connect those angular points to- 
gether by lines, and those lines will represent the several 
sides of the field. 



CASE VIII. 

TO SURVEY AN INACCESSIBLE FIELD. 

Fix upon two Stations at a convenient distance from the 



60 



SURVEYIN© 



field, from each of which the several angles may be seen ; 
from each station take the bearing of the angles ; and take 
the bearing and distance from one station to the other. 

FIELD BOOK. See Fiff. 59. Fig. 59, 




First Station. 

AE. N. 90 15' E. 

AF. N. 16 E. 

AG. N. 14 30 E. 
AD. N. 39 E. 
AH. N. 40 E. 
AC. N. 72 E. 



Second Station. 

BE. N. 50O 0' W, 

BF. N. 29 15 W. 
BD. N. 24 W. 

BG. N. 21 30 W. 
BH. N. 5 E. 
BC. N. 20 30 E. 

Ch.L. 
Stationary distance AB, S. 88° 30' E. 19.20. 

The directions given in the last case for plotting the field, 
will apply in this case also ; and the area in this and the pre- 
ceding CASE may be calculated in the manner pointed out in 
CASE IV. by dividing the plot into triangles and measuring 
diagonals and perpendiculars. Or the sides may be found 
by trigonometry, and the area calculated arithmetically, as 
already taught. 



CASE IX. 

To SURVEY A FIELD WHERE THE BOUNDARY LINES ARE 



StrRVEYING. 



61 



tEHY IRREGULAR, WITHOUT NOTICING WITH THE COMPASS 
EVERY SMALL BEND. 



Begin near one corner of 
the field as at A, Fig. 60, 
and measure to the next 
large corner, as B, in a 
straight line ; noticing also 
the bearing of this line. 
From the line take offsets 
to the several bends, alright 
angles from the line ; noti- 
cing in the field-book at 
what part of the line they are jj- 
taken, as at A 1, H 2, 1 3, B 4. 
Proceed in the same manner 
round the field. In the figure 
the dotted lines represent 
the stationary lines, and the 
black lines the boundaries of S 
the field. 



Fig. 60. 




Beanna; and Distance. | Offsets. | Beanng and Distance. | Offsets.] 


Ch.L. 

AB. N. 85° 0' E. 11.20 

at 5.40 

8.26 

the end 


Ch. L. 
0:56 
1.40 
0.36 
0.36 


Ch.L. 

EF. S. 67° 50' W. 8.20 

at 1.04 

2.96 

•5.88 
the end 


Ch. L. 
40 
0.36 
0.33 
1. 
0.12 


BC.N. 7°20'E. 7.96 
at 2.36 

4.28 
the er.d 


0.20 
0.36 
0.96 
0.30 


FG.S.27°40'E. 7.06 

at 2. 
the end 


1.20 
0.24 
0.16 


CD'.W.62oO'W. 4.68 
at 4.34 


0.30 


GA.S.25°20'W. 6.48 
at 3.80 


0.80 
0.40 


roE. N. 11° 10' W. 4.20 1 0.30 


the end 



TO PROTRACT THIS FIELD. 



Draw the stationary lines according to the directions in 
CASE IV. From A make an offset of 56 links to I; measure 
from A to H 540 links, and make the offset, H 2, 140 links ; 
measure from A to I 826 links, and make the offset I 3, 36 
links at B make the offset B 4, 36 links. Proceed in the 
same manner round the field, and connect the ends of the off-- 
sets by links, which will represent the boundaries of the field* 
6* 



6'2 SURVEYING. 



TO FIND THE AREA. 



Find the J^rea within the stationary lines as before taught ; 
then of the several small trapezoids, rectangles and trian- 
gles made by the stationary lines, offsets, and boundary lines, 
and add the whole together : thus, add 56 links the offset A 
1 to 140 links the offset H 2 and multiply their sum 196, by 
half 540, the length of the line AH, and the product, 52920 
square links, will be the area of the trapezoid AH 21 ; again, 
add 140, the offset H 2 to 36, the offset I 3, and multiply their 
sum, 176, by half 286, the length of the line HI, and the pro- 
duct, 25168 square links, will be the area of the trapezoid 
HI 32. Proceed in the same mariner to calculate the area 
of all the trapezoids, triangles, &c. 



CASE X. 

To SURVEY A FIELD BY TAKING OFFSETS BOTH TO THE 
RIGHT AND LEFT ; THAT IS, WITHIN AND WITHOUT THE 
FIELD, AS OCCASION SHALL REQUIRE, IN CONSEQUENCE OF 
THE STATIONARY LINES CROSSING THE BOUNDARY LINES ; 
ALSO, BY INTERSECTIONS, THAT IS, TAKING THE BEARING OF 
AN INACCESSIBLE CORNER FROM TWO STATIONS. 

The directions given in the preceding case, together with 
the following field-book, will show the learner how to sur- 
vey a field like the following, and also to protract it when 
surveyed. 



SURVEYING 

FIELD-BOOK. See Fig. 61. 



63 




Offsets, 
to the 
Left 


Bearing and distance. 


Oflsets. 
to the 
Right 


Remarks. 


Ch. L. 
1.12 
3.40 
1.25 


Ch.L. 

AB. N. 88= 0' W. 22.12 

at 4.25 

7.40 

13. 


Ch. L. 


A tower bears from 
A. N. 48° W. 


0.45 


EC. K 27° 45' W. 21.12 
at 4.10 
10.25 
15. 


1.20 
1.15 


From B the tower bears 
N. 38° 30' E. 




C 1. S. 82° 15' E. 5.45 

1 2.K70 E. 13.25 

2 D. A\ 20 E. 3.36 




From C go into the field 
to 1, on a'ccount of some 
impediment on or near the 
boundary line. At D, yov. 
get into another corner of the 
field. 




DF. S. 35° 0' E. 15.15 


1 E. an inaccessible corner, 
j bears from D. S. 65°S0'E. 


2.20 
2.32 


FA. S. 150 15' E. 15.10 

at 1.20 

7.45 

12.25 


lE. the inaccessible corner bears 
i from F. N. 4° W. 
0.36 



Note. — To draw a tree, house, tower, or any other remarkable object, in 
its proper place, in the plot of a field —from any two stations, wMle sur- 
veying the field take the bearing of an object, and the intersection of the 
lines, which represent the bearings, will determine the place of the ob- 
ject, in the same manner that the tower is drawn in the figure. 



64 SURVEYING. 



TO FIND THE AREA OF THE ABOVE FIELD, 

Find the area within the stationary lines, and then of the' 
several small trapezoids, &c. remembering to distinguish 
those without the stationary lines from those which are with- 
in. Subtract the area of those within the stationary lines 
from the area of those without, and add the remainder to the 
area contained within the stationary lines ; the sum will be 
the whole area of the field. 

[Or, add the areas of those without the stationary lines, to 
the area contained within those lines, and subtract from the 
sum, the areas of the several triangles, trapezoids, &c. with- 
in the stationary lines.] 



SECTION III. i 

Rectangular surveying, or an accurate method of 
calculating the area of a field arithmetically, from 
the field book, avithout the necessity of protracting 
it, and measuring with a scale and dividers, as is 
commonly practised. 

I. Survey tl e field in the usual method, with an accurate 
compass and chain, and from the field book set down, in a 
traverse table, the course or bearing of the several sides, and 
their length in chains and links, or rods and decimal parts oi* 
a rod; as in the 2nd and 3d columns of the following ex-- 

AMPLE. 



SURVEYING, 



65 













o 


o 




C3 




rr,- 






-a ^ 


■ 


• 


' 


2 


1 


• 


o 


• 


§ 








■ 




• 


g 


§ 

s 


• 


C5 


• 


§ 

S 








o 


5£, 














CO 






li 


s 


2 


■ 


• 


• 


• 


■ 


ffi 


s 








i 


• 


• 


• 


• 


■ 


i 








^^ 


?^ 


g 


s 


^ 


^ 


^ 


?2 


g 








s^ 


s 


S 


^ 


Jo 


s 


n 


^ 






























1? 


? 


2 


2 


?i 


^ 


f: 


g 


^ 






s 




J2 


s 


s 


^ 


55 


b 






frl 


^ 


' 


• 


' 


■ 


■ 


*S 


g2|2 


8g|S^i 




. 


■ 


■ 


. 


< 


%^ 


S3 §5 


OTC<J 


ss 


g 


H 


Pi? c^« 


ss 


SS 


■ 




■ 


; 8g2 


X 

F4 


S§ ^^ 


^^ 


cnC3 1 


. 




• 


' ^t 






. 




oDin 


oo 




o^ 




§5^ 




02 


' 


' 




SS^ 


:S^ 




§??? 


• 


^J^ 






























^^ 


men 














OCJ5 


















t-.o 


*>■*. 




A 


I^E^ 


MM 






\ 




' 


^S 


x6^ 

MM 




-s 


s ^ 


s 


s 


z 


^1 


^ 


^ 








i 


b 






p4 

o 














o 
O 


S 


^ 


m 


^ 


A 


,^ 


S 


^ 






^ 


^ 


w 


aj 


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cq" 


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No. 


-! " 


M 


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■' vO 


- 


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00 





19143.9019 Sum of South Areas. 
4245.4016 North do. 



2)14898.5003 

Acres 744)92501 
4 



Roods 3)70004 
40 



Rods 28)00160 



Acres Roods Rods 

1744 — 3—28 



66 SURVEYING. 

2. Calculate by rig-ht anglkd trigonometric case I, 
or find by the table of difiference of latitude and departure,* 
or by the table of natural sines,t the northing or southing, 
easting or westing, made on each course, and set them down 
against their several courses in their proper columns, marked 
N. S. E. W. 

Note. To determine whether the latitude and departure for any par- 
ticular course and distance are accurately calculated, square each of 
them; and if they are right, the sum of their squares will equal the 
square of the distance, for the following reason: the latitude and de- 
parture represent the two legs of a right angled triangle, and the dis- 
tance the hypothenuse; and it is a mathematical truth, that the square 
of the hypothenuse of any right angled triangle is equal to the sum of 
the squares of the two legs. 

3. If the survey has been accurately taken, the sum of the 
northings will equal that of the southings, and the sum of the 
eastings will equal that of the westings. If, upon adding up 
the respective columns, these are found to differ very con- 
siderably, the field should be again surveyed ; as some error 
must have been committed, either in taking the courses or 
measuring the sides. If the difiference is small, a judicious, 
experienced surveyor will judge from the nature of the 
ground, or shape of the field surveyed, where the mistake 
"was most probably made, and will correct accordingly. Or, 
the northings and southings, and the eastings and westings 
may be equalled by balancing them, as follows : subtract 
one half the difference from that column which is the largest, 
and add it to that column which is the smallest; and let the 
difference, to be added or subtracted, be divided among the 
several courses, according to their length. 

In EXAMPLE I. the upper numbers are the northings, &c. 
as found by a table of difference of latitude and departure. 
The several columns being added, the northings are found to 
exceed the southings 47 links, and the westings to exceed 
the eastings 24 links. [47 being uneven, drop a link from 
the northings, and it becomes 46. Let half of this (23) be 
taken from the northings, and added to the southings ;] like- 
wise, take 12 links from the westings, and add it to the east- 
ings. Take from the first course of the northings 12 links, 
from the second 7, aad from the third 5 ; to the first southing 
add 7 links, to the second 10, and to the third 6; add to the 
first easting 3 links, to the second 3, to the third 4, and to the 

*For an explanation ofthis table, and the manner of using it, see the re- 
jnarks preceding the table, 
f See the remarks preceding the table of natural sines. 



SURVEYING. 67 

lourth 2 ; take from the first westing 5 links, from the second 
4, and from the third 3. [These are the proportional correc- 
tions belonging to each, as found by calculation.*] The 
lower numbers will then represent the northings, &c. as 
balanced, 

4. These columns being balanced, proceed to form a de- 
parture column, or a column of meridian distances; which 
shows how far the end of each side of the field is east or 
west of the station where the calculation begins. This col- 
umn is formed by a continual addition of the eastings, and 
subtraction of the westings; or by adding the westings and 
subtracting the eastings: see example 1. 

The first easting, 20.74, is set for the first number in the 
departure column; to this add 24.38, the second easting, 
and it makes 45.12, for the second number; to this add 
30.04, the third easting, and it makes 75.16, for the third 
number; to this add 9.56, the fourth easting, and it makes 
84.72, for the fourth number : the fifth course being south, 
it is evident the meridian distance will remain the same, 
therefore place against it the same easting as for the prece- 
ding course; from this subtract 39.95, the first westing, and 
it leaves 44.77, for the sixth course; from this subtract 
23.75, the second westing, and it leaves 21.02, for the sev- 
enth course; from this subtract 21.02, the last westing, and 
it leaves 0.0 to be set against the last course, which shows 
that the additions and subtractions have been accurately 
made. For as the eastings and westings equal each other, 
it is evident that the one being added and the other subtract- 
ed, there will be in the end no remainder. 

5. The next step in the process is to form a second de- 
parture column, the numbers in which show the sum of the 
meridian distances at the end of the first and second, second 
and third, third and fourth courses, &c. 

The first number in this column will be the first in the 
other departure column; to which add the secoud number in 
that column for the second in this; for the third add the se- 
cond and third; and for the fourth the third and fourth; and 
so on until the column be completed. See example I. 

The first number to be placed in the second departure col- 
umn is 20.74; to this add 45.12, and it makes 65.86 for the 
second number; to 45.12 add 75.16, and it makes 120.28, for 
the third number; to 75,16 add 84.72, and it makes 159.88 
for the fourth number; to 84.72 add 84.72, and it makes 
169.44 for the fifth number; to 84.72 add 44.77, and it makes 

* See Appendix, No. 5; 



68 



SURVEYING. 



129.49 for the sixth number; to 44,77 add 21,02, and it 
makes 65.79 for the seventh number; to 21.02 add 0.0 
and it makes 21.02 for the eighth number. 

6. When the work is thus far prepared, multiply the 
several numbers in the second departure column by the 
northings or southings standing against them respectively; 
place the products of those multiplied by the northings in 
the column of north areas, and of those multiplied by the 
southings in the column of south areas; add up these two 
columns and subtract the less from the greater; the remain- 
der will be double the area of the field in square rods or 
square chains and links, whichever measure was used in the 
survey. 

[In the preceding explanations, the meridian is supposed 
to pass through the extreme west angle of the field. It is 
best always to take the extreme east or west angle.] 

Fig. 62. 
C D 



1 
Demonstration of the preceding rules. ^ 
See Fig. 62, and example I. 




5L->_VH 

The dotted line A 2 represents the northing, aud the line 
2 B the easting made by the first course; these multiplied 
together, that is, 77.15x20.74=1600.0910, which is double 
the area of the triangle A2B as is evident from the rule to 
find the area of the triangle, prob. IX. Rule I. This num- 
ber is to be placed for the first number in the column of 
north areas. The line 3C represents the sum of the castings 
made by the first and second courses, which is 45.12, the se- 
cond number in the first departure column; if to this you 
add 20.74 the length of the line 2B you have 65.86, which is 
the second number in the second departure column, and 
which represents the sum of the two lines 3C and 2B. 
These two lines, with the line 2 3 which represents the 



SURVEYING. biJ 

northing made by the second course, and the line BC, one 
of the sides of the field, form a right angled trapezoid. 
Now, by the rule to find the area of such a trapezoid, set 
PROB. X. 65.86X31.66=2085.1276, double the area of the 
trapezoid 2BC3. Place this product for the second number 
in the column of north areas. 

To the line 3C add CD 30.04, that easting made by the 
third course, and you have 75.16, which is the sum of the 
eastings made by the three first courses, and the third num- 
ber in the first departure column. To this add 9.56, the 
easting of the fourth course, and you have 84.72, the length 
of the line IE, which represents the sum of the eastings 
made by the four first courses, and is the fourth number in 
the first departure column. These two, viz. the lines 3D 
75.16 and IE 84.72, added together make 159.88, the fourth 
number in the second departure column ; which being multi- 
plied by 49.15, the length of the line 3 1 which represents 
the southing made by the fourth course, will give double 
the area of the trapezoid 1ED3. The number thus pro- 
duced is 7858.1020, which is to be placed for the first num- 
ber in the column of south areas. 

The fifth course being due south, it is evident the sum of 
the eastings will remain the same'as at the end of the fourth 
course ; that is the line 4F equals the line IE, which is 84.- 
72. These added make 169.44, the fifth number in the sec- 
ond departure column. This, being multiplied by 54.10, the 
length of the line EF, which is the southing of the fifth 
course as corrected in balancing, and the same as the line 1 
4 will give double the area of the parallelogram ]EF4, 
which is 9166.7040, the second number in the column of 
south areas. 

From the line AF 84.72 subtract 39.95, which is a west 
course, and it leaves 4G 44.77, the sum of the eastings, or 
the meridian distance, at the end of the sixth course, and 
the sixth number in the first departure column. From this 
subtract 23.75 the westing made by the 7th course, and you 
have 21.02, the length of the line 5H, which is the meridian 
distance at the end of the seventh course, and the seventh 
number in the first departure column. The line 4G 44,77 
added to the line 5H 21.02 make 65.79, the seventh number 
in the second departure column. This being multiplied by 
32.21, the length of the line 4 5 which is the southing of the 
seventh course, will give double the area of the trapezoid 
4GH5, which is 2119.0959, the third number in the column 
of south areas. 

The line H5, 21.02 is the westing of the last course, and 
7 



70 SURVEYING. 

the last number In the second departure column. This heind" 
multiplied by 26.65 length of the line 5A, and the northing 
of the last course, produces 560.1830, which is double the 
area of the triangle A5H, and the last number in the col- 
umn of north areas. 

Note. It will be observed that against the third and sixth courses there 
are no areas ; the reason is that these courses being one east and the 
other west, there is no northing or southing to be multiplied into them ; 
regard can therefore be had to them only in forming the departure col- 
umns. 

By inspecting the figure and attending to the preceding 
illustrations, it will be seen that the three north areas repre- 
sent double the area of the triangle A2B, the trapezoid 2BC3y 
and the triangle ASH, all of which are without the boun- 
dary lines of the field : also, that the three south areas rep- 
resent double the area of the trapezoid 3DE1, the parallelo- 
gram 1EF4, and the trapezoid 4GH5; and that these include 
not only the field but also what was included in the north 
areas. Therefore the north areas subtracted from the south, 
the remainder will be double the area of the field, contained 
within the black lines. 



ADDITIONAL DIRECTIONS AND EXPLANATIONS. 

The northings and southings may be added and subtract- 
ed instead of the eastings and westings ; then there will be 
two latitude columns instead of departure columns, and the 
numbers in the second latitude column must be multiplied 
into the eastings and westings, and you will have east and 
west areas. 

"When the course is directly north and south, the distance 
must be set in the north or south column ; when east or west, 
in the east or west column. There will therefore sometimes 
be no number to be added to or subtracted from the num- 
ber last set in the latitude or departure column ; then the 
number last placed in the column must be brought down 
and set against such course ; as in example I. at the 5th 
course. It may also sometimes be the case, that there will 
be no number to multiply into the number in the second 
latitude or departure column ; then that number must be 
omitted, and against such course there will be no area, as 
in example I. at the 3d and 6th courses. 

When the northings or southings, eastings or westings, 
beginning at the top, will not admit of a continual addition 
of the one and the subtraction of the other, without run- 



SURVEYING 



71 



uing out before you get through the several courses, you 
may begin at .such a course in the field book as will admit 
of a continual addition and subtraction ; and when you get 
to the bottom go to the top, and you will end in cypher at 
the course next above that where you began : as in exam- 
ple II. which begins at the 9th course to add the eastings 
and subtract the westings. 



Example II. 



No. 


Courses. 


Dist. ^ 
rods.| ^• 


S. 


E. 


W. 


Idep. 
Col. 


2dep. 
Col. 


North 
areas. 


South 
areas. 


1 


N.36045'E. 


76.8 61.5 




46.0 




46.0 


46.0 


2829.00 


. . - 


9 


N. 22 30 E. 


56.0 


51.7 




21.4 




67.4 


113.4 


5862.78 




? 


S. 76 45E. 


48.0 




11.0 


46.7 


-- 


114.1 


181.5 


. - - 


1996.50 


4 


S. 15 DOW. 


43.4 




41.9 




11.2 


102.9 


217.0 





9093.30 


f> 


S. 16 45W. 


40.5 




38.8 




11.7 


91.2 


194.1 


- - - 


7531.08 


fi 


N.75 00E. 


54.8 


14.2 




52.9 


-- 


144.1 


235.3 


3341.26 


... 


7 


N. 20 30 E. 


41.2 


38.6 


. . 


14.4 




158.5 


302.6 


11680.36 





p 


East 


64.8 




. . 


64.8 




223.3 


381.8 








q 


S. 33 SOW. 


141.2 




117.7 




77.9 


145.4 


368.7 





43395.99 


10 


S.7600W. 


64.0 




15.5 




62.1 


83.3 


228.7 





3544.85 


11 


North 


36.0 


36.0 


. . 






83.3 


166.6 


5997.60 





1'^ 


S.8400 W. 


46.4 




4.9 




46.1 


37.2 


120.5 





590.45 


13. 


N.5315W. 


46.4 


27.8 - - 


-- 


37.2 


00.01 37.2' 1034.16 






110 Acres, 2 Roods and 23 Rods. 

DEMONSTRATION. 

Fig. 63. 




The area standing against the 1st course, is the triangle 
121, lying without the field. 



72 SURVEYING, 

That against the 2d course is the trapezoid 23AI, lying- 
without the field. 

That against the 3d course is the trapezoid 34AC, and 
it is a south area, lying partly within and partly without the 
field. 

That against the 4th course is the trapezoid 45CM, and it 
is also a south area. 

That against the 5th course is the trapezoid 56MO, and it 
is also a south area. 

That against the 6th course is the trapezoid 67NO, and it 
is a north area, a part of which is already contained in two 
different products. In this area, and in the two succeeding 
areas, all of that part of the figure which lies above the 
line 06, is considered void, and it may again be covered by 
both north and south products. 

The area against the 7th course is the trapezoid 78EN, 
and it is a north area. 

Against the 8th course there is no latitude. 

The area against the 9th course is the trapezoid 9,10,EX 
and it is a south area. 

That against the 10th course is the trapezoid 10, 11 XZ, 
and it is a south area. 

That against the ilth station is the parallelogram 11, 12 
SZ, and is a north area. 

That against the 12th station is the trapezoid 12,13SV, 
and it is a south area. 

That against the 13th station is the triangle 13,1, V, and it 
is a north area. 

When the field is very irregularly shaped, it will often 
happen that parts of the same area will be contained in sev- 
eral different products in the column of areas. As often as 
a space is covered by a north product, so often will it be 
covered by a south product; but in the final result, the sum 
of one column being subtracted from that of the other, will 
leave what is included within the boundary lines of the 
field. 

This method of calculating the area of a field by the north- 
ings, southings, eastings, and westings, divides the field, with 
a certain quantity of the adjoining ground, into right angled 
triangles, right angled trapezoids, parallelograms or squares, 
as may be seen by the figures. It may therefore with pro- 
priety be called rectangular surveying.* 

See Appenix, No. 6. 



SURVEYING. 73 



A USEFUL PROBLEM. 



to find the true area of a field which has been 
Measured by a chain too long or too short. 

Calculate the area as if the chain was of a true length, 
then institute the following proportion. 

As the square of the length of the true chain ; 
Is to the area, as found by the chain made use of; 
So is the square of the length of that chain ; 
To the true area of the field. 



Suppose a field, measured by a two rod chain 3 inches too 
long, is found to contain 41 acres 1 rood and 33 rods, what 
is the true area. 

As the square of 33 feet, the true length of a two rod chain ; 
is to 41 acres 1 rood and 33 rods; so is the square of 33 feet 
3 inches, the length of the chain used in the survey; to 42 
acres and 13 rods. 33 feet=396 inches. 396x396=156816 
square inches. 

41 acres 1 rood 33 rods=6633 rods. 

33 feet 3 inches=399 inches. 399x399=159201 square 
inches. 

1.59201x6633^-156316=6733 rods. 

6733^-160=42 acres 13 rods, the true area. 



PART II. 

LAYING OUT LAND. 

PROBLEM I. To lay out any number of acres in the 
form of a square. 

Annex 5 cyphers to the number of acres, which will turn 
them into square links, the square root of which will be the 
side of the square in links. 

Example I. It is required to lay out 810 acres in the 
form of a square. 

Answer. Each side of the square must be 9000 links, or 
90 chains. 

7*- 



74 SURVEY IN G . 

PROBLEM II. To lay out any number of acres IS 

THE FORM OF A PARALLELOGRAM WHEREOF ONE SIDE IS 
GIVEN. 

Divide the number of acres when turned into square links^ 
by the given side ; the quotient will be the side required. 

Example. What must be the longest side of a rectan- 
gle, which is to contain 25 acres, when the shortest side is 5 
chains and 50 links ? 

Answer. 2500000-^550=4545 links for the longest side, 

PROBLEM III. To lay out any number of acres in 
A field, 3, 4, 5, 6, &c. times as long as it is broad. 

Divide the acres when turned into square links, by the ra- 
tio between the length and breadth; the square root of the 
quotient will be the shortest side. 

Example. It is required to lay out 100 acres 5 times as 
long as it is broad. 

Answer. ] 0000000-f-5=2000000 the square root of which 
is 1414 links for the shortest side, and the longest will be 
7070 links. 

PROBLEM IV. To make a triangle which shall 
contain a given number of acres, being confined to a 
certain base. 

Double the given number of acres, to which, annex 5 cy- 
phers, and divide by the base ; the quotient will be the per- 
pendicular height in links. 

Example. Upon a base of 40 chains to lay out 100 acres 
in a triangular form. 

Answer. 5000 links or 50 chains will be the length of the 
perpendicular. 



The perpendicular may be erected 
from any part of the base : thus, the 
triangle ABC, see Fig. 64, is the same 
as ABE, each containing 100 acres. 




SURVEYING 



"When the given base is so sitn^ 
ated that a perpendicular of suffi* 
cient length cannot be erected 
therefrom, continue the base as 
from B to D, Fig. 65> from which 
erect the perpendicular DC, and 
complete the triangle ABC, which 
will contain 100 acres. 



Fig. 65 




PAST IXI. 



DIVIDING LAND. 



AS difierent fields are so variously, and many of them ir- 
t-egularly shaped, and as they are required to be divided in 
many difterent proportions, it is difficult to give rules whicli 
will apply to particular cases. The business of dividing land 
must therefore be left, in a great measure, to the skill and 
judgment of the surveyor : who, if he is well acquainted vv^ith 
trigonometry, and with measuring land, v/ill not find it diffi- 
cult, after a little practice, to divide a field in such a manner 
as shall be desired. If he has before him a plot of the field, 
and knovv^s the number of parts into which it is to be divided, 
and the proportion Avhich each part is to bear to the others, 
he will readily find out where the dividing lines are to be 
drawn. 

A few RULES and examples will be given for the general 
instruction of the learner. 

PROBLEM I. To cut off any number op acres from 

A SQUARE OR RECTANGLE. 

Say, as the whole number of acres in the field ; is to the 
length of the square or length or breadth of the rectangle ; 
so is the number of acres proposed to be cut off"; to their 
proportion of the length or breadth. 



PROBLEM IL To cut off any Number of acres by 

A LINE FROM ANY ANGLE OF A TRIANGLE. 

Measure the base, or side opposite the angle from which 



SURVEYING. 




the dividing line is to be drawn ; then say, as the number of 
acres in the whole triangle ; is to the whole base ; so is the 
given number of acres ; to their part of the base. 

Fig. 66. 



Example. See Fig. 66. 



In the triangle ABC, which contains 48 acres, it is required 
to cut off 18 acres, by a line proceeding from C to the base 
AB, Avhich is 40 chains. 

As 48 : 40 : : 18 : 15 

Lay 15 chains on the base from B to D, and draw the line 
CD. The triangle will then be divided as was proposed ; 
BCD containing 18 acres. 

PROBLEM in. To take off any given number of 

ACRES FROM A MULTANGULAR FIELD. 

Fig. 67 
D 




Example I. See Fig. 67. 



Let ABCD, &c. be the plot of a field containing 1 1 acres, 
from which it is required to cut off 5 acres. 

Join two opposite corners of the field as D and G, Avith the 
line DG (which you may judge to be near the partition line) 
and find the area of the part DEFG, which, suppose, may 
want 140 rods of the quantity proposed to be cut off. Mea- 
sure the line DG, which, suppose to be 70 rods; divide 140 
by 35 the half of DG, and the quotient 4 will be the length of 
the perpendicular of a triangle, whose base is 70 and the area 
140. Lay off 4 rods from G to I, and draw the line DI, 
which will be the dividing line.* 

*This explanation supposes DQ and AG at right angles to each other. 
When they are not at right angles, the height GI must not be measured on 
the side of the field. — Ed. 



SURVEYING. 



77 



Example II. 



See Fig. 68. 

Fig. 68. 
25 



Let ABCD, &c. be a tract of 
land to be divided into two equal 
parts, by a line from I to the oppo- 
site side CD ; to find arithmetically A 
on what part of the line CD the di- 
viding line IN will fall ; or to find 
the distance CN. 



FIELD BOOK. 












Rods. 


Rods. 


AB. 


IS. 


19° 


0' 


E. 108 


FG. West 70.9 


BC. 


s. 


77 





E. 91 


GH. N. 360 0' W. 47 


CD. 


s 


27 





E. 115 


HI. North 64.3 


DE. 


s. 


53 





W. 58 


I A. N. 62 15 W. 59 


EF. 


s. 


15 


30 


E. 76 


Acres Rood Rods 
Whole area 152 — 1 - 25 



Find the area of the part lABC, according to section III. 
fagt 64, as follows : set the latitude and departure of the 
three first sides, lA, AB, and BC, in their proper columns, 
in a traverse table; and place as much southing, viz. 109.1, 
equal to the line CK, and as much westing viz. 71.7, 
equal to the line KI, as will balance the columns. This 
southing and westing will be the latitude and departure made 
by the line CI. The area of I ABC will be found to be 8722 
rods, which is less than half the area of the whole field by 
3470 rods, the quantity to be contained in the triangle ICN. 

Find the bearing and distance of CI by right angled 

TRIGONOMETRY, CASE IV. aS folloWS :* 



As CK, the southing of CI, 109, nearly 
: radius ..--.. 



KI, the westing of CI, 71.' 



: tangent course S. 33^ 20' W. 



2.037436 
10.000000 
1.855519 

11.855519 

2.037426 

9.818093 



*The mode given above is undoubtedly the most correct, but the use of the 
traverse table will save many figures. From that table the course and dis- 
tance of CI, may be found at sight. — Ed. 



T8 SURVEYING. 

As sine course 33« 20' - - - ' - 9.739975 

: departure KI 71.7 1.855519 

: : radius - - - - - - - 10.000000 

11.855519 

9.739975 

: Distance IC 130.5 2.115544 



Note. In this way the course and distance may be found from any angle 
of a field to another. 

Having found the line CI, divide 3470, the number of rods 
to be contained in the triangle ICN, by one half the line CI, 
viz. 65.25 ; the quotient will be the length of the perpendicu- 
lar PN, viz. 53.18. 

Now, by the bearings of CI and CD, it appears that they 
form an angle of 60° 20' ; wherefore, in the triangle CPN 
are given the side PN 53.18, and the angle at C 60° 20', to 
find the hypothenuse CN. 

As sine PCN 60° 20' 

: side PN 53.18 

: : radius - - . - 




: hyp. CN 61.2 - - - 1.786768 

Thus the dividing line must go from I to a point on the 
line CD, which is 61.2 rods from C. The bearing and dis- 
tance of this line may be found by the directions given above 
for finding the bearing and distance of the line CI. Or, they 
may be found by oblique trigonometry, case III. 

Another method of finding the distance CN. 

Having ascertained the latitude and departure of the line 
CI, set them down in a traverse table; find the latitude and 
departure of the line CD, and place them in the table; the 
difference between the northing of the line IC, and the 
southing of the line CD will be the southing of the line DI, 
viz. 6.6; and the sum of the eastings of those lines, as they 
are both easterly, will be the westing of the line DI, viz. 
123.9. Proceed to calculate the area of the triangle ICD, 
which will be found to be 6522 rods, nearly. 

Note. As in this triangle two sides and their contained angle are giv- 
en, the area may be found by prob. IX, rule 4. page 42. 



SURVEYING. 79 

Having found the area of this triangle, proceed to find 
CN according to prob. II. page 75, as follows: 

As the area of the triangle; is to CD the base; so is the 
quantity to be contained in the triangle ICN; to CN its pro- 
portion of the base. 

As 6522 : 115 :: 3470 : 61.19. 



A THIRD METHOD OF FINDING THE DISTACNE CN. 

To the logarithm of double the area to be contained with- 
in the triangle ICN add radius; from this sum subtract the 
logarithmic sine of the angle at C; and from the remain- 
dei-stibtract the logarithm of the side IC; the last remainder 
will be the logarithm of the side CN. 

The double area of the triangle ICN is 6940; the angle at 
C is 60° 20'; the side IC is 130. 

Double area 6940 - - 3.841359 
Radius - - - iO.OOOOOO 



13.841359 
Sine ICN 60° 20' - - 9.938980 



3.902379 
Side IC 130.5 - - - 2.115544^ 



Side CN 61.21 • - - 1,786835 



Note. Radius may be added by placing a unit before the index of the 
logarithm for the double area, without the trouble of setting down the 
cyphers. 



BY NATURAL SINES. 

Divide the double area by the natural sine of the giveii 
angle, and that quotient by the given side; the last quotient 
will be the side CN. 

Nat. sine of the angle at C 60° 20' 0.86892 

6940^0. 86892=798S.92 

7986.92-^130.5=61.2 

* The log. ofIC, as found by calculation on page 77, is employed, in- 
stead of taking from the tables, that of 130.5, which is not the exact length 
oflC— Ed. 



80 SURVEYING. 

From the above the following general rule may be drawn. 

to find the side of a triangle when the area is 
given, and also one of the sides, and the angle con- 
tained between the given side and the side required. 

to the logarithm of double the area add radius; 
from this sum subtract the logarithmic sine of the 
given angle, and from the remainder subtract the 
logarithm of the given side; the last remainder will 
be the logatithm of the side required, 

Or, By natural sines: divide the double area by 
the nat. sine of the given angle, and that quotient 
by the given side; the last quotient will be the side 
required. 



CONCLUDING REMARKS. 

Other methods of surveying fields are taught by some 
authors on this subject. The preceding, however, will be 
found most useful in actual pi-actice. Other instruments be- 
sides those mentioned in this book are sometimes used ; such 
as the plain table, semicircle, perambulator, theodolite, &c. 
But of these instruments very little use is made in New 
England ; and they are not often to be met with. For gene- 
ral practice none will be found more useful than a common 
chain, and a compass upon Rittenhouse's construction. A 
surveyor should also provide himself with an ofi'set staff, ten 
links in length, and accurately divided into links. This should 
be made of lirm hard wood, and will be found very conven- 
ient in taking offsets, and also in measuring the chain; 
which should be often done, as from a variety of causes a 
chain is liable to become inaccurate. 

It will be observed that in this work there is no descrip- 
tions of mathematical and surveying instruments. The com- 
piler omitted such descriptions, from a belief that nothing 
which can be written on the subject will enable a person to 
understand them without an actual inspection of the instru- 
ments themselves, and some instruction from those ac- 
quainted with them. 

The general principles here taught may be applied to the 
surveying of townships, roads, rivers, harbors, &c. 



APPENDIX. 



Of the declination and variation of the magnetic 

NEEDLE, and OF THE ATTRACTIONS TO WHICH IT IS SUBJECT. 

The declination of the needle is the number of degrees it 
deviates from the true north, either east or west. This dif- 
fers in different places, and in the same place at different 
times. [At Hartford, Conn, the declination was, in 1829, 6° 
3' west of the true meridian of the earth; and was increasing 
by an annual variation of about 3'.] 

The following method of ascertaining the variation, by the 
north star, has been adopted by many surveyors, as the most 
eligible to be practised on land. It was communicated to 
the compiler by Moses Warren, Esq., of Lyme, an experi- 
enced surveyor, with permission to publish it. 

The star commonly called the north star, is not directly 
north, but revolves round the pole in a small circle, once in 
24 hours.* It can therefore be due north only twice in that 
period ; and that is within a very few minutes of the time, 
when a star, called Alioth, in the constellation of Ursa ma- 
jor, or the great bear, is directly over or under it. There is 
also another star nearly in an opposite direction from the 
pole, called Gamma, in the constellation of Cassiopeia. 
When these three stars are vertical, the north star is very 
near the meridian ; and when they are horizontal, it is at its 
greatest elongation, that is, at its greatest distance east or 
west of the pole, and on the same side as the star in Cassio- 
peia. The variation may be calculated when the star is on 
the meridian, or when at its greatest elongation ; more accu- 
rately, however, at the latter period, because its motion be- 

* More exactly, 23 hours, 56 minutes and 4 seconds. — Ed. 
8 



83 



APPENDIX. 



ing then nearly vertical for some time, gives the observer 
opportunity to complete his observation.* 

To find the elongation of this star in any latitude, its de- 
clination must be known : that is, its distance north of the 
equator. This being found, institute the following pro- 
portion : 

As co-sine of the latitude ; is to radius; so is co-sine of the 
declination ; to sine of the elongation.! 

The declination of the north star, January 1, 1810, was 
88° 17' 28", and increasing at the rate of about 19 seconds 
and one half annually. 

In the following table, the elongation is calculated for ten 
successive years, ending with 1840, and for seven different 
latitudes. The calculation is made for the first of July, and 
of course gives the mean angle for the year. 

TABLE SHOWING THE ELONGATION OF THE NORTH STAR. 



Years 


32° 


340 


36° 

1° 581' 


38° 


40° 


420 
2o 9' 


44o 


1881 


1° 


521' 


1° 55' 


2° U' 


2° 


5' 


2° 13' 


1832 




52 


I 541 


1 58 


2 1 


2 


44 


2 81 


2 121 


1833 




511 


1 54 


1 571 


2 01 


2 


4 


2 8 


2 121 


1834 




51 


1 531 


1 57 


1 591 


2 


4 


2 71 


2 12 


1835 




501 


1 53 


1 561 


1 59 


2 


3 


2 61 


2 11 


1836 




50 


1 521 


1 56 


i 581 


2 


21 


2 6 


2 101 


1837 




501 


1 521 


1 551 


I 581 


2 


2 


2 51 


2 10 


1838 




50 


I 521 


1 55 


I 58 


2 


U 


2 5 


2 91 


1839 




491 


1 52 


1 54i 


1 571 


2 


1 


2 41 


2 9 


1840 




49 


] 511 


1 54 


1 57| 


2 


01 i2 4 


2 8^ 



*The following figure exhibits a view of the relative situation of these 
stars, as they appear, when in a horizontal position ; or when tlie north 
5tar is in its greatest eastern elongation. 



The Great Bear. 



* Alioth 

* 



Cassiopeia. 



N. Star. 



Gamma * 



tThis angle ia usually called azimuth.— Kd. 



APPENDIX. 83^ 

The elongation for the latitude of the observation being 
calculated, or taken from the above table, proceed to find its 
range according to the following directions : 

Take a pole 18 or 20 feet in length ; to the end of it fasten 
a small line; raise it to an elevation of 45° or 50° ; and sup- 
port it by two crotches of suitable height to keep it firm in 
its place. At the end of the line near the ground, fasten a 
weight ofhalf apound or more, which should swim in water 
to prevent the air from moving the line. Southward of the 
line fix a compass sight, or other piece of metal or wood 
with a narrow, perpendicular aperture at a convenient height 
from the ground, say about 2 or 2 1-2 feet ; and let it be so 
fixed that it can be moved a small distance east or west at 
pleasure. Let an assistant hold a light either NE. or NW. 
of the line, nearly as high as the range from the sight to the 
north star, in such a position that the line may plainly be 
seen ; then, (the three stars above mentioned being parallel 
or nearly so with the horizon,) move the sight-vane east or 
west, until through the aperture, the line is seen to cut the 
star ; and continue to observe, at short intervals, till the star 
is seen at its greatest elongation. Let a lighted candle be 
placed in an exact range with the sight-vane and line at the 
distance of 20 rods or more, which should stand perpendicu- 
larly, be made fast, extinguished and left till morning. 
Then the sight-vane, the line, and the candle, will be the 
range of elongation, which observe accurately with a com- 
pass ; and if the elongation be east and the variation west, 
the former must be subtracted from the latter ; and if they 
are both west they must be added, and their difference or 
sum will be the true variation.* 



OF THE ATTRACTION OF THE NEEDLE. 

It is well known that any iron substance has an influence 
upon the magnetic needle, attracting it one way or the other 
upon the point where it would settle, were there no such at- 
traction. A surveyor should therefore be careful to see that 
no iron is near the compass when taking a bearing. But as 
the earth in certain spots contains, near its surface, iron or 
other minerals, which attract the needle, it will frequently 

* The author, in common -vsrith many writers, employs the term variation^ 
as synonymous with decliruUion. Variation is properly, however, the 
change of declination.^—En, 



84 APPENDIX. 

happen that it will point wrong. To ascertain whether this 
is the case, the surveyor, at each station, should take a back 
view of the one last left ; and if he finds that the compass 
does not reverse truly, he may be sure, provided the compass 
be accurately graduated and placed horizontally, that he 
either made a mistake at the last station, or that in one or the 
other or both of the stations, the needle was attracted from 
the true point. When he finds a place where he suspects 
there is an attraction, he should go a {ew rods backward or 
forward, and see whether the needle points diflTerently. In 
this way he may prevent mistakes in his field notes, which 
would arise from putting down a wrong course. To take 
back sights is particularly necessary in running long lines, 
and laying out new lands, where the needle is the only thing 
to guide the surveyor. 

By practice and experience a knowledge will be acquired 
on this subject, and with regard to many other things in sur- 
veying, which cannot be taught by books ; and after all the 
directions which can be written, the practitioner will fre- 
quently find occasion for the exercise of his own judgment. 



A RULE TO FIND THE DIFFERENCE BETWEEN THE PRES- 
ENT VARIATION OF THE COMPASS, AND THAT AT A TIME 
WHEN A TRACT WAS FORMERLY SURVEYED, IN ORDER TO 
TRACE OR RUN OUT THE ORIGINAL LINES. 

Go to any part of the premises where any two adjacent 
corners are known ; and if one can be seen from the other, 
take their bearing; which compared with that of the same 
line in the former survey, shows the difference. But if one 
corner cannot be seen from the other, run the line according 
to the given bearing, and observe the nearest distance be- 
tween the line so run, and the corner ; and then work the 
following proportion : 

As THE LENGTH OF THE WHOLE LINE, 

Is TO 57.3 DEGREES,* 

So IS THE SAID DISTANCE, 

To THE DIFFERENCE OF VARIATION REQUIRED. 

EXAMPLE. 

Suppose it be required to run a line, which, some years 
ago, bore N. 45° E., distance 20 chains, and in running this 

* 57.3 degrees is the radius of a circle (nearly) in such parts that the cir- 
cumference contains 360. 



APPENDIX. 



85 



Jine by the given bearing, the corner is found 20 links to the 
left hand ; what is the present bearing of this line ? 
Ch. Deg. L. 
As 20 : 57.3 : : 20 
100 20 



2000 1146.0 
60 

2000)68760(34 Minutes. 
Answer — 34 minutes to the left hand is the allowance re- 
quired, and the line in question bears N. 44° 26' E. 



The compiler of this work acknowledges himself under 
obligations to George Gillet, Esq., Surveyor General of the 
state of Connecticut, for the following illustrations, remarks, 
and miscellaneous questions, considering them calculated to 
be useful to the learner, and the practical surveyor. 



PRACTICAL TRIGONOMETRY. 

The learner must understand decimals and the nature and 
^se of logarithms, before he can make any proficiency in 
this branch. Difference of latitude is the distance between 
the parallels of the beginning and of the terminating point 
of a line, or of any number of lines, whether northerly or 
southerly. Departure is the distance between the meridians 
of the beginning and of the terminating point, or the dis- 
tance made either east or west from any particular meridian 
on any course. 

These distances are also called northings or southings, 
eastings or westings, as different cases may happen. 

When a course and distance are given, the distance is the 
hypothenuse of a right angled triangle, of which, the latitude 
and departure are the legs. The angle which the course 
makes with the meridian, is opposite to the departure. Sub- 
tract the course from 90^, and the remainder will be the 
quantity of the angle opposite to the latitude. 



8" 



SQ 



APPENDIX. 



CASE I. 

In the annexed triangle, the 
side AC is given N. 40^ W. 50 rods. 
The latitude and departure or the 
northing and westing are required. fl'< 

AB is a meridian or a north 
and south line. The angle at A 
contains 40°, and that at C, 50°, as 
appears by their respective arches. 
BC is an east and vv^est line, of 
course the angle at B contains 90^, 
or it is a right angle. AC is made 
radius. From the point at A, the 
arch Ca is described. From the point at C, the arch Az is 
described. BC is the sine of the angle at A, or of the arch 
Ca, and AB is the co-sine. AB is the sine of the angle at C, 
or of the arch Az, and BC is the co-sine. Sines and co- 
sines lie within their respective arches. Each side is pro- 
portioned to its opposite angle, and each angle to its oppo- 
site side. 




TO FIND THE REQUIRED SIDES TAKE THE FOLLOWING RULE. 

For the latitude, make radius, the angle at B, the first 
term, — the logarithm of the side AC 50, the second ; the 
sine of the angle at C, the third, and the fourth will be the 
logarithm of the latitude AB. For the departure, take the 
same first and second terms, the sine of the angle at A for 
the third, and the fourth will be the logarithm of the de- 
parture BC. 

SEE THEM WORKED. 



As radius, - 10.000000 

: side AC, 50 rods, - 1.698970 
: : sine of C, 50^ 9.884254 



Radius, 

: Latitude 38.30 rods, 



11.583224 
10.000000 



1.583224 



As radius, 

: side AC, 50 rods. 

: : sine of A 40°, 



10.000000 
1.698970 
9.808067 

11.507037 
10.000000 



Radius, 

: departure, 32.14 rods, 1.507037 



APPENDIX. 



87 



Required the latitude and departure of S. 28° W. 88 rods. 



As radius, - 10.000000 

: distance 88, logarithm, 1.944483 
: : cosioe of course 28° 9.945935 



11.S9041S 
lO.OOOLOO 



; latitude, 77.70, 



1.890418 



As radius, - 10.000000 

: distance, 88 rods, 1.944483 

: : sine of the course 28° 9.671609 



departure, 41.31, 



1.616092 



Required the latitude and departureof N. 75°,E. 245 rods. 



As radius, - 10.000000 

: distance 245, - 2.389166 

: : co-sine of course, 75° 9.412996 



11.802162 
10.000000 



latitude, 63.41, 



1.802162 



As radius, - 10.000000 

: distance, 245, - 2.389166 
: : sine of the course, 9.984944 



departure, 236.65, 2.374110 



The logarithm of the distance may be set down in two 
places; and the sine of the course may be placed under 
one, and the co-sine under the other, and when they are 
added, the unit at the left hand, in each case, may be can- 
celled, which will be the same as subtracting radius. ^ 



CASE II. 



Suppose you run north from A to B, 220 i. 
rods; then east 150 rods to C. "What is 
your course and distance from C to A ? 
First find the course. In this case, make 
the side AB radius. With your dividers 
on the point at A, descibe the arch Ba, 
then on the point at C, describe the arch 
Bz. In describing the last arch BC is 
made radius. Each arch contains as ma- 
ny degrees as its opposite angle. 



Fig. 2. 



As the sides AB and B@, both lie without their respective 
arches, they are tangents. BC is the tangent of the angle at 
A ; or of the arch Ba, and AB is the co-tangent. AB is the 
tangent of the angle at C ; or of the arch Bz, and BC is the 
co-tangent. 



88 



APPENDIX. 



Note. When an angle is required, a side must be the first term. When 
a side is required, an angle must be the first term. 

To find the course from C to A, Fig. 2, adopt the follow- 
ing rule. 

Suppose yourself standing at the angle A ; make the side 
AB radius, then state ; as the log. of the side AB 220; is to 
radius ; so is the log. of the side BC, 150 to the tangent of the 
angle at A. See the example worked. 
As log. of AB, 

220—2-342423 : R.10.000000 : : log. BC, 150— 2.n&16a 
2.176091 



12.176091 
2.342423 



: Tang, of A 34° 17' 9.833668 

In the column of tangents, under 34° against 17', you will 
find the last term or that which is nearest to it. The course 
from A to C is N. 34° 17' E. or from C to A, S. ,11°, 17', W. 
Next find the distance. 



CASE III 

TO FIND THE DISTANCE. 



Fig. 3. 



Make the side AC radius. From the 
point at A describe the arch Cx. In 
this case, the side BC is a sine as it 
lies within the arch. Take the follow- 
ing rule. 

As the sine of the angle at A, is to 
the side BC, so is radius to the side 
AC. See the example worked. 



As sine of A 34°, 17' 
: side BC. 150, 
: : radius, 



side AC, 266.3 



A 

9.750729 

2.176091 

lO.OOOOOO 

12.176091 
9.750729 

2.425362 



APPENDIX. Oy 

Suppose you begin at a pine and run north 125 rods to a 
hemlock, then east 216^^ rods to a spruce, what is the course 
and distance from the spruce to the pine? By case II. find 
the course, and by case III. the distance. Suppose your- 
self standing at the pine, and making the northing radius, 
the proportion will be, 

As 125, 2.096910 

: radius, 10.000000 

: : 216.5 2.335458 



12.335458 

2.096910 



tang, at the pine, 60°, 10.238548 



The course from the spruce to the pine is S 60° W. 

Note. As the easting is greater than the northing, the course is over 45°. 
therefore look at the bottom of the page to find it. 

To find the distance from the spruce to the pine, make 
that side radius, and the proportion will be, as the sine of 
the angle at the pine ; is to the easting ; so is radius to the 
distance required ; or as the sine of the angle at the spruce ; 
is to the northing ; so is radius to the distance from the spruce 
to the pine. 



As sine at the pine 60° 9.937531 
: the easting 216.5, 2.335458 
: : radius, 10.000000 

12.335458 
9.937531 



As sine at the spruce 300,9.698970 
: northins:, 125, 2.096910 

: : radius" 10.000000 



required dist. 250 rods, 2.397927 



12.096910 
9.698970 



: required dist. 250 rods, 2.397940 



The following courses and distances of a survey are giv- 
en, and the course and distance of the closing line are re- 
quired. 

Beginning at a maple tree, thence running as follows : — 
S. 80° W. 90 rods, N. 15° W. 95 rods, N. 85° E. 45 rods, 
S. 10° E. 40 rods, N. 85° E. 42 rods to a beach tree. First, 
arrange the given courses and distances in a table, having a 
blank line for the course, distance, latitude and departure of 
the closing line. Find by the traverse table the latitude and 
departure of each course and distance, and insert them in 
their respective columns as follows :— 



90 



APPENDIX. 



No. 


Courses. 


Dist. 


N. 


S. 


E. 


W. 


1 


S. 8O0 W. 


90.0 




15.63 




88.63 


N. 150 W. 


95.0 


91.76 






24.59 


3 
4 


N. 85° E. 


45.0 


3.92 




44.83 




S. 100 E. 


40.0 




39.39 


6.95 




i '- 


N. 85*^ E. 


42.0 


3.66 




41.84 












44.32 


19.60 








99.34 


99.34 


113.22 


113.22 



Subtract the sum of the southings from that of the north- 
ings, and 44.32 will remain to fill the blank in the column 
of southings. Also, subtract the sum of the eastings from 
that of the westings, and 19.60 will remain to fill the blank 
in the column of eastings. 

These numbers or distances are the legs of a right angled 
triangle, the hypothenuse of which is the closing line. 

You are now standing at the beach tree. Make the 
southing radius and to find the course, the proportion will be, 



As the southing 44.32, 

: radius, 

: : the easting 19.60, 



1.646600 

10.000000 

1.292256 

11.292256 
1.646600 



tangent of the course, 23° 51' 9.645656 



The course of the closing line is S. 23^, 51', E. which 
may fill the blank in the column of courses. 

To find the distance make the line from the beach to the 
maple, or the closing line radius, and the easting will be a 
sine, then state, 



APPENDIX. 91 



As the sine of the course 23^ 51' 9.606751 
: the easting, 19.60 1.292256 

: : radius, 10.000000 



1 1 .292256 
9.606751 



: the distance, 48.48, rods * 1 .685505 

The distance is 48.48 rods, which may be entered in the 
blank space in the column of distances, and the survey will 
be complete. 

In the table of logarithms, against 484, in the column un- 
der 8, the last term, or the logarithm which is nearest to it is 
found : 8 must be annexed to 484, and as the index is a unit, 
or 1, the two left hand figures are integers, and the others 
are decimals. 

Former editions of this work contained several eases in 
Rectangular Trigonometry, which depended on secants for 
solution, but as secants are not retained in the tables which 
accompany this edition, those cases are also excluded from 
it. In Practical Surveying, no case will occur, which cannot 
be solved by these tables, nor can one occur, which depends 
on a solution by Rectangular Trigonometry, and which can- 
not be solved by the cases here treated of; therefore, secants 
are of no use to the practical surveyor. 

Young learners meet with much perplexity in giving de- 
cimals their proper places when calculating latitudes and de- 
partures by inspection from the traverse table. This sub- 
ject claims some attention. 

What is the latitude and departure of N. 84^ E. 70 rods 
and 2 links ? 

The distance is 70.08 rods. The decimal is 8.100 of a 
rod. Over 84c> in the traverse table against 70, the lat. is 
7.32, and the dep. is 69.62. 

Against 8, over latitude is 0.84, so nigh a unit that one 
may be added to the second decimal in the lat. and over dep. 
is 7.98, so near 8 that that number may be added to the sec- 
ond decimal in the departure. Ans. lat. 7. 33, dep. 69.70. 

When a course departs 10= from a meridian and it is re- 
quired to add the lat. and dep. of 10 links or .40 of a rod to 
the lat. and dep. of the number of rods contained in the dis- 
tance ; under 10° against 40 ; the lat. is 39.39, and the dep. is 
6.95. As the two right hand figures of the latitude are un- 
der 50, they may be rejected, and as the two right hand fig- 



92 APPENDIX. 

ures of the dep. are over 50, a unit or 1, may be added to the 
left hand figure and the two last rejected, and the answer 
will stand, lat. .39, dep. .07. If the decimal is called 4 tenths, 
the separating point in both lat. and dep. may be carried over 
one figure towards the right, adding a unit to the dep. and 
the right hand figure in each rejected, and the result will be 
the same. 75o, 5 links or 2 tenths ; lat. 0.52 dep. 1.93 ; carry 
over the point, lat. .05 ; dep. .19 ;'65°, five links or two tenths, 
lat. 0.85, dep. 1.81. lat. .08, dep. .18; 81°, 15 links or 6 tenths, 
lat. 0.94, dep. 5.93 ; lat. .09, dep. .59 ; 28°, 2 links or 8-100, 
lat. .07, dep. .04 ; 7° 15 1. or 6 tenths lat. 60 dep. .07. 

What is the latitude and departure on N. 10° E. 6.5 rods ? 

This need not be taken by two inspections, one for the in- 
teger and another for the decimal, but under 10°, against 65, 
the latitude is 64.01, and the departure is 11.29. 

The separating point may be placed between the two first 
figures in each, and as the fourth figure in the departure is % 
a unit may be added to the third, the fourth figure in each 
may be omitted, and the latitude is 6.40 rods and the depar- 
ture is 1.13 rods. 



PRACTICAL SURVEYING. 



NO. I. 

Explanation of the compass, with directions how 
TO use it, and how to prove the accuracy of it. 

In surveying, each angular point is considered the centre 
of a circle divided into 360 equal parts called degrees. 

The circle is also divided into four equal parts, called 
quadrants, by north and south, and east and west lines cross- 
ing each other at right angles on the centre. Each quadrant 
is divided into nine equal divisions, and each division con- 
tains ten degrees. 

The following figure represents the card, or the graduation 
of the compass. 




At the centre is the pivot or centre-pin on which the needle 
turns. The compass is fixed on the head of a staff, and it 
may be directed to any object on any course whatever, 
while the needle retains its polarity. Courses are counted 
either east or west from their respective meridians. To be 
more explicit, the angle which a course makes with its me- 
ridian, is written north or south, so many degrees east or 
west. 

Fix the above circle to the four cardinal points, and sup- 
pose your course runs from the centre through the point 40, 
to the right of N.; the direction of it is N, 40° E., or in the 
opposite direction S. 40° W. To take this course, turn the 
north end of the compass to the object at the terminating 
point of the line. This will turn the point 40 at the left of 
N. directly against the north end of the needle, then count 
the degrees from N. to the north end. 

Suppose your course runs from the centre through the 
point 80 below W., the direction of it is S. 80° W,, or in the 
opposite direction N. 80° E. To take this course, turn the 
south end of the compass to the object, and the point 80 
above W., will be at the north end of the needle, and at at 80 
below E. at the south end of it. In like manner take all 
other courses. 
9 



94 APPENDIX. 

In some compasses which are sufficiently correct for field 
surveying, when one end of the needle settles at any degree, 
the other end will not settle exactly against the same degree 
on the opposite side. Even compasses of the first rate, when 
they are not well levelled are liable to this error. There- 
fore, all courses should be taken from the same end of the 
needle, which may be the north end. For example, sup- 
pose your course is southeasterly or southwesterly, direct 
the compass to the object, and at whatever degree the north 
end of the needle settles, enter it in your field book, even 
if the south end differs a few minutes from that degree. 
Also keep the same end of the compass northerly and 
southerly on courses in that direction, and the same end 
easterly and westerly in the latter direction.* 

By following these directions, the survey will be taken 
more correctly, than when the ends of the compass are fre- 
quently changed, and the northerly courses are taken by the 
north end of the needle, and the southerly courses by the 
south end of it. 

When a needle is well magnetized, the inside of the cap 
smooth, and the centre-pin nicely pointed, the needle will 
traverse lively and long: but before it stops at the true point, 
will have an almost imperceptible tremulous motion. 

When the needle settles quick, by giving the compass or 
the staff" a light rap, it will commonly move a little, some- 
times a quarter, a half, or a whole degree. This is certain 
evidence that something is out of order. Either the needle 
is not well magnetized, the inside of the cap is rough, or the 
centre-pin is blunt, which causes friction. The centre-pin 
ought to be as nicely pointed as a fine sewing-needle. 
Whether the compass is in order or not, the rap should be 
given after the needle has settled. 

The centre-pin is the part of a compass which fails first. 
The point is easily broken or blunted, and is always in dan- 
ger. When the point is injured, it is not easily renewed so 
as to be equal to its first state. Therefore, too great care 
cannot be taken of a good compass. 

When a new compass is procured, it may be recommend- 
ed to have one or moi-e extra centre-pins with it, that when 
one fails another may be in readiness. 

To prove the accuracy of a compass, set each end of it to 
some distant object at every ten degrees round the circle. 
If, in every instance, each end of the needle settles at the 

* This practice has been recommended by the most celebrated mathe- 
matical instrument makers. 



■\ 



APPENDIX. 95 

same degree on the opposite side, the compass is accurate, 
and is of the.first rate; but if there should be found a differ- 
ence of five minutes on a part or around the whole circle, 
the compass would be considered as one of the second rate, 
and by following the foregoing directions, a survey might 
be taken with it to a good degree of accuracy. 

A compass which does not come within one or the other 
of the foregoing descriptions, ought not to be used on valu- 
able land. 

When a compass is not in use, it should be placed where 
it can have no motion, and the needle should be left on the 
centre-pin. By keeping its polarity, the magnetic power of 
the needle will strengthen rather than weaken. 

Compasses differ in their directions. Those of the first 
rate have been known to vary within the space of a quar- 
ter or a third of a degree, when no defect could be discover- 
ed in the mechanical part of them. As correct a survey may 
fee taken with one as with another of this description. The 
question then naturally arises, which of these varying com- 
passes is right? The answer is, all are right; neither of 
them points directly to the poles of the earth except on a 
line of no declination. Each compass will find such a line. 
All that can be said of them is, that one makes a greater 
declination than another, and that which makes the least, 
cannot have the preference. It has also been ascertained 
that different needles do not point alike at the same place. 
French writers on magnetism have treated on this subject. 

It was well known to the celebrated Rittenhouse that his 
compasses did not agree, and he was never satisfied as to 
the cause of it. To remedy this defect, if it can be called a 
defect, he constructed his compass with a nonius or vernier 
scale (as some term it.) that all of them might be so regulat- 
ed by a meridian as to agree. The meridian should be es- 
tablished by the motion of the heavenly bodies, and made 
permanent by durable monuments. All courses which are 
matters of record ought to be taken from the true, instead of 
the magnetic meridian. Such meridians sh6uld be establish- 
ed at convenient distances from each other, so that whenev- 
er a survey is to be taken in the vicinity of one of them, a 
surveyor might set his compass on it and note the disclina- 
tion found, and that declination, together with the meridian 
from which it was taken, should be inserted in the deed, or 
instrument by which the land is conveyed, and should be a 
part of the record. This would assist a surveyor at any fu- 
ture period in retracing those lines, by setting his compass 
on the same meridian, and allowing the difference in declina- 



96 APPENDIX. 

tion since the preceding survey. This would tend greatly to 
the security of landed property, and it is the only method by 
which magnetic courses can be regulated. Without this 
regulatian, one correct compass may be used to as good ad- 
vantage as another. So Dr. Rittenhouse viewed the matter: 
so the common practice of the country has established it. 



NO. II. 

On the irregularities of the magnetic needle. 

By a statute of this state, applicants for the appointment of 
county surveyor, are required to be well skilled in point of 
science in the theory of the most approved method of survey- 
ing lands. It is also as necessary that they should be as well 
skiWe A in practical surveying. Practical knowledge must 
be acquired by experience, but no one can have a thorough 
knowledge of correct practice, without being acquainted with 
the imperfections of the magnetic needle. 

It is supposed by most people, that this instrument, in all 
places, points directly to the poles of the earth, and that its 
direction remains as permanent as the poles themselves; an 
infallible guide.* This is a mistaken idea. A ^ew remarks 
on this subject will here be oflered, and some facts respect- 
ing it stated. 

* There is one line around the globe on which there is no declination. 
The general course of this line on this side of the globe is from northwest to 
southeast, but it is crooked and irregular in its course. This line is not sta- 
tionary, but is ever changing its position, and notwithstanding the great 
variety of its directions, it never crosses itself According to Dr. Holly's 
chart, made in 1700, this line crossed the meridian of London in 55° south 
latitude, crossed the equator in 17° west longitude; from thence by various 
windings to the island of Bermuda; form thence nearly a west course until 
itsti'uck the continent near Charleston in South Carolina. 

About 1756, another chart was made, when the line had fallen so far to 
the west, that it struck the continent near the coast of Florida. On the east 
side of tins line, the magnetic needle points to the west of north, and on the 
west side it points to the east of north, and a regular increase of either east 
or west declination is found from it on its opposite sides. 

The line of no declination now runs through Pennsylvania, and through 
the eastern part of Virginia and of North Carolina, and it leaves the coast 
atCape Hatteras.* 

At New Orleans, in 1813, the declination was east about eight degrees. 
The same year, an article appeared in a Philadelphia paper, from which 
the following was extracted. 

At Philadelphia, " 1701, declination 8° 30' W.; in 1793, 1° 30' W.; 1794, 

* Capt. Phillips. 



APPENDIX. 97 

Notwithstanding the utility of the magnetic needle, it can- 
not be relied on when great accuracy is required, on account 
of the irregularities to which it is subject, viz. its annual and 
diurnal variations, and what is the cause of still greater per- 
plexity, its local attractions. When an old course is given 
to renew a line, it cannot be depended on, on account of the 
change in declination, between the time of the first running 
and the renewal of it. 

No annual rate ca^ be fixed on a& a certain rule for the de- 



the needle was observed" to recede to the west; 1804, 2° W.; 1813, 2'=' 27' 
W.;" and the west declination was then increasing:. According to observa- 
tions made at Albany by the late Mr. De Witt, Surveyor General of the 
State of New York,* for many years, the needle has declined to the west. 

The observations made by Nathaniel Goodwin, Esq. of Hartfordj Conn., 
agree with those of the late Mr. De Witt. 

In June, 18G5, the writer comm.enced observing the decimation of the 
magnetic needle, at Hebron in ConnecticiU, and he has continued liis obser- 
vations to the present date, June, 1835. The same compass with the same 
needle has been set at the same place, and to the same object. During that 
period, thenoith end of the needle declined to the west, 1^ 20'. At the for- 
mer date, the declination was 4® 50' W. The annual motion of the needle 
has not been uniformly steady. In some years it was more rapid than im 
others, and in one or two instances, for a period of three or four years, none, 
except the diurnal motion, could be discovered. The west declination is 
still increasing. 

While at so many places in the northern states, and at many more which 
might be mentioned^ the west declination has increased, at Salem in Mas- 
sachusetts, according to the observations of Dr. Bowditch, it has steadily de- 
creased. 

In 1580, at London, the magnetic needle pointed eleven degrees and a 
half to the east of north, which proves that the line of no declination was 
then east of that place. 

The east declination diminished until 1657, when the line of no declina- 
tion arrived there and passed by; of course west declination commenced, 
and at the close of the last centuiy, it had increased to twenty-four degrees. 

The line of no declination must have made rapid progress through the 
Atlantic and through a great part of the United States, to have arrived at 
Charleston in 1700, and at the coast of Florida in 1756. 

It is unaccountable how the west declination at London should increase, 
while at Philadelphia it diminished, when both places were on the same 
side of the line of no declination. 

The mystery is solved with equal difficulty, how the western declination 
at Salem should diminish, while at Philadelphia, Albany, and at Hartford it 
increased. The declination of the needle has long been a subject of much 
perplexity. Observations have been made in abundance. Many facts have 
been ascertained, but they are not reducible to system. 

The polarity of the needle, with its variations and ii-regulai'ities, is a hid- 
den mystery, which is never to be searched out by man. It is sufficient in 
itself, without any other evidence, to cause the reflecting mind to wonder at, 
admire, and adore the wisdom, knowledge, and power of HiH, who plan- 
ned and who still directs it. 

* He died in 18^4. 



\f!3 APPENDIX. 

clination of the needle, as its motion is much more rapid ini 
some years than in others. By observations made at Lon- 
don during a period of more than two hundred years, it ap- 
pears that in some years the motion of the needle was rapid, 
in otners but little could be discovered, and, in some years, 
the motion was retrograde. There is no regularity in its 
motion at any place for any length of time. 

The diurntil motion of the needle has long been known. 
As the sun rises in the forenoon, it has an effect on the un- 
known something which gives polarity to the needle, and 
turns the north end of it to the west. In the afternoon and 
night following, the needle returns to its position. Observa- 
tions for the diurnal motion have been made in abundance, 
both in Europe and America. The result on both continents 
has been nearly the same. In summer, about a sixth or a 
quarter of a degree is usually found. In winter, but very 
little can be discovered. Perhaps, in a hot climate, the di- 
urnal motion may be greater. 

Local attraction is found oftener in hilly, broken lands, fill- 
ed with ledges, than in level, feasible land, where there are no 
ledges. As the soirrces of attraction are generally unknown 
and are out of sight, their situation should be determined by 
experiment. They sometimes cause the needle to deviate 
more than a degree, and often occasion a more trifling inac- 
curacy. In some instances, differences have been found, of 
more than five degrees within the distance of forty rods. 

Although the magnetic needle is not that infallible guide 
which most people suppose, yet it is a very useful instrument, 
and, in our country, cannot be wholly dispensed with in land 
surveying; but the surveyor who is best acquainted with it, 
will make as little use of it as he can. 



NO. III. 

On practical surveying. 

Surveying is a branch of business which will admit of dili- 
gence, but it will not bear to be hurried. Sufficient time 
must be allowed to take courses, measure distances, and to 
make calculations correctly, even if the employer does not 
see the necessity/, of being so particular. 

In taking a survey, go around with the sun, or keep the 
land which you survey on your right hand, not that you can 
work more correctly, or that it will have any effect in plot- 



APPENDIX. 99 

ing or in calculating, but when you put your courses and 
distances' on your map, they will follow around from the left 
to the right, as you perform any other writing, and your 
map will appear to better advantage than when you write 
against courses and distances. 

Wherever you begirt, set your compass on the first angle, 
and cause a stake or a flag-staff to be erected at the next. 

If the first bound is a rock, erect a stake on it, and set 
your compass any where between the two stakes, or you 
may go back of the first angle and take the range of the 
stakes. 

When the boundary line is not straight, place the flag at 
the first angle, and go forward to a convenient place for the 
next, and take your course by a back sight. 

When a line is of such a length that you cannot see the 
end, and do not know the exact direction of it, leave a flag 
at the beginning, and go forward as far as you can have a 
fair view of it, and set your compass to the flag. Pursue 
that course to the end, and if you strike the bound, you 
need not boast of superior skill, for it will be by acci- 
dent. A line run in this manner, is commonly termed a 
random line. 

When the course of a random line is not in a direction to 
the bound, continue it to a point from which, by turning at a 
right angle you will strike the bound, then measure the dis- 
tance irom the end of the random line to the bound, and this 
distance and the length of the random line will be the legs 
of a right angled triangle, the hypothenuse of which will be 
the true distance, and the bearing of the hypothenuse, the 
true course. 

When the course of a random line is northwesterly or 
southeasterly, and it strikes to the right' of the bound, the 
angle formed by the true and the random line, must be ad- 
ded to the course of the latter, but if to the left, it must be 
subtracted. 

When the random course is northeasterly or southwester- 
ly, and it strikes to the right of the bound, the angle must 
be subtracted, but if to the left, it must be added. 

When a line crosses a hill, cause a stake or flag to be 
erected at each end of it, and set your compass on the top of 
the hill, directly between them. If bushes or a hedge ob- 
struct the sight on the line, make an offset at each end, or 
take the course by a random line. 

When a distant tree near the line can be seen at the be- 
ginning of it, the bearing of the tree may be taken, and the 



100 APPENDIX. 

distance measured, and from the tree to the bound,^ and the 
bearing of the bound from the tree may be taken b'y a back 
sight, and the course and distance may be calculated by a 



EXAMPLE. 

Suppose fi-om the beginning of a line, a tree bears N. 5° 
W. and the distance is 50 rods; from the tree to the end of 
the line, is N. 5° E., 50 rods, the course of the line is north, 
and the distance is 99 rods and 151- links. 

When a line crosses water which cannot be measured with 
a chain, cause a stake to be erected on the opposite side, 
directly in the line. Then turn from the line at rigTit an- 
gles, and measure until the course on which you ran from 
the line and the bearing of the stake, form an angle of 45^, 
then the distance from the angle to the point of turning off, 
and from that to the stake will be precisely the same, which 
may be added to the distance already found. 

If it is not convenient to measure so far as to form an an- 
g]p of 45°, stop at any proper distance and take the bearing 
of the stake, and having ascertained the angle, calculate the 
distance across the water by the following proportion. As 
the' sine of the angle at the stake : is to its opposite side : : 
so is the co-sine of that angle : to the side recLuired. 

EXAMPLE. 

Suppose the bearing of the stake is N. 84° W., you may 
turn to the right or to the left, if to the former, your course 
will be N. 6" E., and if you measure 16 rods and then take 
the bearing of the stake, which may be S. 74° W., the angle 
at the stake will contain 22°. State the question as follows: 
As 16 rods - - - 1.204120 
: Co-sine of 22° - - 9.967166 

11.171286 
: : Sineof220 - - 9.573575 



: Distance across the water 1.597711 39.6 rods. 

If it is not convenient to turn from the line at right angles, 
turn at an acute or an obtuse angle, measure a suitable dis- 
tance, take the bearing of the stake, and calculate the dis- 
tance by oblique trigonometry. , 



APPENDIX. 101 



EXAMPLE. 



Suppose, on the same line you turn and run N. 27° W. 15 
rods and 3 links, the stake on the opposite shore will bear S. 
740 W. The angle at the stake will contain 22°, that at the 
pointof turning from the line, 57°, of course the other angle 
will contain 101°. In this case, all the angles and the side 
opposite to that at the stake, are given. The distance across 
the water may be calculated by the first case of oblique tri- 
gonometry. 

When a line crosses a ledge too high and too steep to be 
measured with a chain, whether the ascent or descent is be 
fore you, erect a flag at the top of it, take a station at the 
bottom, and ascertain the distance by the method of ascer- 
taining it across the water, which will give the base of the 
hill from your station to a point directly under the flag. 

In taking courses, on account of local attractions, the com- 
pass should be set at least twice on each line, even if you 
have a fair view of the whole length of it. Should there be 
a difference in the traverse of the compass at the two places, 
a third should be selected. Should the compass traverse 
alike at two places, the surveyor may conclude that he has 
found the true course, but when no two places are found 
where the compass has the same traverse, the surveyor should 
enter a medium course in his field book, noting such courses, 
as he may still have occasion to correct them in his calcu- 
lation. 

If in such cases, he is at a loss what course to enter in his 
field book, and suspects that some minutes may be added to, 
or subtracted from the course which he enters, he should 
prefix to such courses the sign of addition or subtraction, as 
the case may be, which will often assist him in balancing hi& 
surveys. It would be no easy matter to describe all the 
different methods which may be selected in different cases 
in taking the field work of surveys. An example of only 
one case will be given here, which is represented by the fol- 
lowing figure. 



102 



APPENDIX. 




The survey was be- 1_ Try 2 

gun at the corner num- 7 X^ 

bered 1. The corner 
numbered 2, was in a 
pond. The course and 
distance were taken 
from 1 to wj ; then from 
m to n. The angle at 
2 was a right angle ; of 
course there was a right 
angled triangle, where- 
in the angles and hy- 

pothenuse were given \ / g 

to find the sides m2 and ^^'--^^ ~ ' ,''"' 

2rt. From n to 3, the ^"■■*--. ^'' 

course and distance ^ 

were taken on the line. The next line ran through a thicket 
in a swamp. Courses and distances were taken from 3 to 5, 
thence to z, thence to 4, and the course and distance of the 
line 3 — 4 were calculated by a traverse from those courses 
and distances. At the angle 5, a tree stood on a high 
clump of rocks, inaccessible on either line terminating at 
that point. The course from 4 to 5 Avas taken at 4. Next, 
the course and distance were taken from 4 to a, and from a, 
the course was taken to 5. Next the course and distance 
were taken from a to 6, and from 6 the course was taken to 
5. Two oblique triangles, with the angles and one side in 
each, were given, to find the side 4 — 5 and 5 — 6, which give 
the base of the hill. 

The closing line ran through thick bushes and water, and 
the course and distance were taken on the dotted line to the 
line 1 — 2, at a point twenty rods from 1. The course and 
distance of 6 — 1, were calculated accordingly. 

Whenever a line runs through or over a place where it is 
difficult to take either course or distance correctly, if, by 
taking a traverse around, at a little distance from the line, 
the surveyor can have level, cleared land, and then calculate 
the true course and distance from the courses and distances 
of the traverse lines, he will be more likely to ascertain the 
correct course and distance than he would by attempting to 
run on the line. By practice and experience, a method for 
taking courses and distances, in all cases, will beconie 
familiar. 

In a hilly country, the two-pole chain is preferable, and is 
more commonly used, because it can be better levelled. 



APPENDIX. 103 

In measuring hills and inclined surfaces, the horizontal 
distance must be taken. A plummet should be suspended 
from the end of a chain when it is levelled. 

When hills are very steep, the surveyor should assist the 
chainmen, and when the best is done in levelling and plumb- 
ing the chain, judgment must frequently be called into ex- 
ercise. 

Even when elevations and descents are easy, there is dan- 
ger of making too much measure. In such cases, chain- 
men often make allowances, but the surveyor will do better 
to keep them to close measure, and from the shape of the 
ground, judge what allowances ought to be made. An ex- 
perienced, judicious surveyor, will form a more correct 
judgment in such .cases than inexperienced men. 

If a surveyor is acquair^ted with the rise or descent of 
hills, the traverse table will aid him. For example, from the 
surface of a hill which rises on an angle of five degrees, one 
link for every ten rods may be deducted. 

Particular care must be taken to have the chain carried on 
a straight line. When a tally is ended, and the hinder 
chainman carries forward the sticks, they must be counted. 
When on counting- the sticks it is discovered that one is lost, 
the chainmen should not leave the chain and go back to find 
it, but, from the last mark, should measure back to the point 
where the tally commenced, to see whether the full tally was 
measured, or whether one chain was lost from it. Many 
blunders have been left undetected by not taking this care. 
A careful, accurate chainman never loses a stick or miscounts 
a tally. 

Distances may be taken by chains and links, or by rods 
and decimal parts, as best suits the surveyor. When a sur- 
vey is calculated by chains and links, the numbers by v/hich 
the process is performed, are smaller than when it is calcu- 
lated by rods and decimal parts. Every method by which 
the numbers are diminished, is an improvement. 

Young surveyors should practice much for their own in- 
struction, and should make correct practice familiar, before 
they offer their services. 

A young surveyor should bear in mind that if he is- de- 
tected in one error in the beginning of his practice, it will be 
more to his disadvantage than to be detected in two, when 
he shall become well established. If an error is committed 
in a survey, it is not against the surveyor, provided he de- 
tects and corrects it, but if he cannot do this, it is sufficient 
evidence of his deficiency in point of knowledge and skill. 



104 APPENDIX. 



NO. IV. 

DIRECTIONS FOR RUNNING AND ESTABLISHING LINES. 

Many people suppose that a surveyor at the beginning of a 
line, by intuition or by some magic art, can set his compass 
directly to the terminating point, whatever obstructions may 
intervene, and that he needs no assistance ; but this is a mis- 
taken idea. 

In running a line of considerable length, a surveyor should 
have two assistants to carry the chain, two to carry flags, in 
whose ability and correctness he can confide, and a fifth to 
carry an axe. If the surveyor is not furnished with such a 
number of assistants, his employer need not place too much 
confidence in his work. 

The flag staves should be as much as two and a half or 
three inches in diameter, or what would be better, two strips 
of a board of that width, and seven or eight feet in length. 
If they are not so wide, they cannot be seen through the sights 
of the compass at any great distance. On one end of each 
staff, a flag, either white or red, of a yard in length should 
be wound tight, and not left to hang loose and flutter in the 
wind. The latter color will be more clearly seen through 
bushes, especially when the ground is covered with snow, 
and the brighter the color the better. Being thus manned 
and equipped, at the beginning of a line, he must set his com- 
pass as near the true line as he can, or, he may set up one of 
the flags at the place of beginning, and go forward as far as 
he can have a view of the back flag. There set his compass 
on the random line, and send the other assistant as far for- 
ward as he can conveniently see the flag. When each flag 
is clearly seen through the sights of the compass, the back 
flag must be brought forward, and placed where the compass 
stood. In this manner he must proceed on his random line, 
taking care each time he sets his compass, to turn the sights 
to the back flag. Great care must be taken to keep the flags 
perpendicular ; also, the surveyor must keep the staff'and the 
sights of the compass perpendicular. A little leaning of the 
flags, or turning the sights of the compass from a perpen- 
dicular, will make a crooked line. In taking his sights to 
the flags, he must look as near the ground as he can, and 
when pi-acticable, the flag should be turned downwards, on 
account of the danger of being leaned when kept up. 

All obstructions, such as bushes, brush, &c. must be 
cleared away. The random line must be measured, and at 



APPENDIX. 105 

convenient distances, perhaps at every twenty rods, stakes 
must be set directly in it. Every stake must be numbered, 
that no mistake may be made in calculating, when they are 
afterwards removed and placed on the true line. If, in the 
course of the random line, the needle does not traverse as at 
first, or does not traverse alike at different places, no regard 
should be paid to it, the flags must direct the course ; neither 
should the surveyor be turned aside or terrified by the cry 
of either of the parties, you are wrong, you are wrong, (for 
he will most certainly hear it,) but he must continue his ran- 
dom line, until turning at right angles, either to the right or 
to the left, as the case may be, he can exactly strike the 
bound, or the point where a bound is to be erected ; there 
he may stop, and measure the distance from that place to 
the bound. He may then calculate the course and distance of 
the true line, as before taught, but for setting the stakes in 
the true line, he may take the following directions. 

Suppose the whole length of the random line is 200 rods, 
and the distance from the termination of it to the bound is 
90 links, the calculation for setting the stakes on the true 
line may be made thus : — As the whole distance : is to 90 
links : : so is the distance of any stake : to the distancie 
that such stake is to be moved. 

If the stakes are 20 rods apart, the answer is, the first 
stake is to be moved nine links, the second 18 links, and so 
on, adding nine links at each stake, >intil the whole are moved 
at right angles from the random, to the true line. Many 
crooked lines and consequent disputes between farmers, 
have arisen from the want of this care and attention. When 
a long line is to be run over a number of ridges, and across 
intervening valleys, it should first be run and established 
from one ridge to another, and the intermediate spaces in the 
valleys may be taken afterwards. By taking long sights 
there will be less danger of turning from a straight line. 

In all cases, the forward flag should be carried as far as it 
can be distinctly seen, unless it is at the termination of a 
line. 

On account of the irregularity of the magnetic needle, the 
diflierence between compasses, and the incorrect manner in 
which most of the former surveys were made, no rule can be 
given which may be relied on, with certainty, in renewing 
lost bounds. In such cases, the best evidence must be taken 
which can be produced. When an old line is to be renewed, 
where the bounds have been lost, the surveyor may verify or 
prove his accuracy in various modes. If he finds, for exam- 
ple, that the lots on each side of the line contain their due 
in 



106 APPENDIX. 

quantity, or possess their full width, he will have reason to 
believe that the line is accurately run ; if not, he may allow 
for the excess or deficiency in either of these lots, and thus 
discover the true position of the line. 

It would be difficult to mention all the circumstances which 
may govern, or which may serve as evidence in such cases. 



NO. V. 

ON BALANCING SURVEYS. 

In every survey which is taken without an error, either in 
courses or in distances, the sum of the northings will equal 
that of the southings ; and the sum of the eastings, that of 
the westings ; but this is not always an infallible proof that 
the survey is accurate, for hvo errors may be committed, one 
of which will exactly balance the other, which no rule will 
detect ; but such cases do not often occur. 

In practical surveying, it is next to an impossibility in 
any case, to work so correctly that the survey will exactly 
close without some correction. The difference between the 
two columns of latitude, and between those of departure, are 
the legs of a right angled triangle, the hypathenuse of which 
will be the distance which the survey will fail of closing. 
In a survey of one hundred acres, whatever may be the 
number of the angles, the difference between the two col- 
umns of latitude and the two columns of departure, ought 
not to exceed a rod for each, but to come within those lim- 
its if possible. 

If, in such a survey, either of the differences should ex- 
ceed a rod, where the laud is valuable and easily surveyed, 
it would be better to take a re-survey, or so far as to detect 
the error. 

These differences, as before taught in this work, must be 
balanced before the column of meridian distances can be 
formed, or a correct plot of the survey be drawn. 

The small differences between the columns in surveys 
which are substantially correct, commonly arise from an ex- 
cess of measure, on account of the irregularity of surface, and 
from errors of the compass, caused by local attraction, and 
diurnal motion. 

Some authors have given rules* for balancing surveys, 
which, in theory, appear plausible, but in practice, they are 
not without exceptions. In correction these rules are indis- 
criminately applied to every line in the survey, which pre- 

* It is argued by theorists that by these rules, all will be agreed. This s 
admitted, but then, all may be a.-ivped in error. 



APPENDIX. 107 

supposes that a proportional error must have been commit- 
ted on each and alJ, both in courses and in distances ; when 
in almost every survey, a part of the lines are on land so 
level and so clear from obstructions of any kind, that if the 
surveyor and chainmen attend to their business, they will not 
be likely to commit much error on them, while other lines 
on other parts of the same survey are attended with so many 
difficulties, that when they have done their best, it will 
scarcely be possible for them to avoid some error, and the 
surveyor who takes the survey will best judge on what 
lines the errors were committed, and whether they were in 
the courses or in the distances. In all cases, the corrections 
should be made on the lines containing the errors. 

When the errors are in the courses, they should be cor- 
rected, and when the errors, are in the distances, the correc- 
tion should be in them, or the correction may be in both 
courses and distances, as the surveyor may judge proper. 

Surveys are commonly balanced by subtracting half the 
sum of the differences, from the numbers in the larger col- 
umns, and by adding them to those in the less. 

This, in most instances, is a correct method, but in certain 
cases, there are exceptions to it. For example, the bounda- 
ry lines of three sides of a farm are on level land where there 
are no obstructions. The other side is on rough land filled 
with broken precipices. In such a case, most, if not all the 
Correction, should be on the lines on the rough side. In 
some instances, most of the error may be in the course of a 
single long line. 

It is not uncommon on high hills that the traverse of the 
needle differs a quarter or a half of a degree or more from its 
traverse in valleys and on plains below. In such cases, 
courses should be corrected. In general, the compass is 
subject to more error than the chain. As rules cannot be 
given for correcting surveys in all cases, this must be left in a 
great measure to the judgmentand experience of the surveyor. 

As a general rule, corrections should be made principally 
on long lines, and the corrections may be in proportion to 
the difficulties with which the surveying of them is attended. 

When a course is north or south, or east or west, or near 
either of those points, a few minutes may be added to it or 
subtracted from it when necessary to favor the balancing. 
If the distance is of considerable length, it is probable that 
the course may contain some error. 

When a course is nearly equidistant between any two of 
the four cardinal points, if the correction of it increases the 
^titude and diminishes the departure, or if it diminishes the 



108 



APPENDIX. 



latitude and increases the departure so as to favor the balan- 
cing, there is double evidence that the course contains some 
error. If by diminishing the distance on such a course, both 
the latitude and departure are so diminished as to favor the 
balancing, it is good evidence of an excess of measure. 

In correcting surveys there is less danger from diminishing 
distances than there is from increasing them. Cases may 
occur in which distances maybe increased, but the surveyor 
should be very cautious about it. 

As it is of importance that surveys should be correctly bal- 
anced before they are calculated, and as the work is commonly 
attended with some difficulty, a few examples are given for the 
assistance of the student. In each survey, the courses and 
distances are entered in the tables as they were taken in the 
field. 







EXAMPLK I. 






r 


Courses. 


Dist 

rods 


N. 


S. 


E. 


W. 


1 


N. 40O30' W. 


53.0 


40.30 
.20 






34.42 
.53 


2 


N. 10 15 E. 


74.4 


73.21 
.00 




13.24 




3 


S. 85 30 E. 


125.5 




9.85 

1025 


125.11 




4 


S. 7 15 W. 


71.8 




71.22 
.32 




9.06 


5 


S. 2 15 E. 


31.2 




31.18 

.28 


1.23 




6 


N. 84 00 W. 


35.5 


3.71 

.50 






35.31 


7 


W. 


40.0 




.10 




40.00 


8 


S. 80 00 W. 


21.0 




3.65 

.75 




20.68 




117.22 


115.90 


139.58 


139.47 


Balanced. 


116.70 


116.70 


139.58 


139.58 



APPENDIX. 



109 



The difference between the sum of the northings and that 
of the southings is one rod and 8 links, and the difference be- 
tween the sum of the eastings and that of the westings is 
2 3-4 links. The taking of the course on the third line was 
attended with difficulty, and probably it contains some error, 
therefore, more than a proportion of the correction is made 
on the southing of it. There is also evidence that the first 
course contains some error, as the diminishing of the north- 
ing and the increasing of the westing favors the balancing. 
Twenty links are added to the different southings and thir 
teen links are subtracted from the different northings. 

Where corrections are made, the upper numbers are of no 
further use. If the corrections are made with red ink, they 
will all be seen at one view and the work Avill appear hand- 
somer. This was Mr. Flint's practice. 







EXAMPLE 


II. 






3 

o 


Courses. 


Dist. 

rods 


N. 


S. 


E. 


W. 


1 

"2 


N. 5° 00' E. 


44.4 


44.23 




3.86 
.75 




E. 


66.6 


.22 




66.60 
.40 




3 
~4 


N. 20 00 E. 


22.6 


21.23 




7.72 




S. 80 00 E. 


59.0 




10.25 
.10 


58.10 
.00 




5 


S. 8 15 W. 


57.0 




56.41 
.30 




8.18 
.33 


N. 85 30 W. 


41.4 


3.25 
.40 






41.27 
.39 


7 
~9 


S. 45 00 W. 


28.5 




20.15 




20.15 


S. 7 00 E. 


24.4 




24.22 


2.97 
.90 




S. 80 15 W. 


38.2 




6.47 
.35 




37.65 


10 


W. 


20.4 








20.40 


11 


N. 12 30 W. 


49.2 


48.04 






10.65 

.85 


12 30 


116.75 


117.50 


139.25 


438.30 


Balanced. 


117.12 


117.12 


138.77 


138.77 




10 


* 











no 



APPENDIX. 



EXAMPLE HI. 



? 


Courses. 


Dist. 

Rods. 


N. 


S. 


E. 


W. 


1 


N. 20O 00' W. 


70.0 


65.78 






23.94 

24.05 


2 


N. 12 30 W. 


45.4 


44.32 






9.83 


3 


N. 10 00 E. 


38.5 


37.91 




6.69 




4 


N. 15 00 W. 


38.0 


36.71 

5 65 
.75 






9.84 


5 


N. 86 00 E. 


80.8 




80.61 
.51 




6 


S. 88 GO E. 


65.2 


^^90 
7.00 


2.27 
.18 


65.16 
.06 




7 


N. 84 30 E. 


72.0 


71.67 
.57 


• 


8 


S. 5 45 E. 


100.0 




99.50 
.30 


10.02 


9 


W. 


71.6 

88.6 


.18 






71.60 


10 


s. 




88.60 
.50 




.20 


11 


N. 87 00 W. 


50.2 


2.63 
.73 






50.13 


12 


S. 81 15 W. 


69.0 




10.50 
.40 




68.20 
233.54 




199.90 


200.87 


234.15 


Balanced. 


200.38 


200.38 


233.85 


233.85 



In the correction of the two last surveys, the differences 
between the two columns of latitude, and between those of 
departure, in each example, are equally divided between 
their respective columns. A northing is added to the second 
course in the second example, also, a northing to the ninth 
and a westing to the tenth in the third example. When 
courses are entered in the field book, north, south, east or 
west, they are as liable to contain errors, and they are as 
subject to correction as other courses. 



APPENDIX. 
EXAMPLE IV. 



HI 



p 


Courses. 


Dist. 

rods 


N. 


S. 


E. 


W, 


1 


N. 7° 45' E. 


41.8 


41.42 
.20 




5.64 

.58 




2 


S. 79 00 E. 


47.0 




8.97 
9.15 


46.14 




3 


N. 40 00 E. 


25.0 


19.15 
.00 




16.07 




4 


S. 70 00 E. 


60.0 




20.52 
.72 


56.38 




5 


S. 15 00 E. 


15.6 




15.07 


4.06 




6 


N. 89 00 E. 


57.0 


.99 

.80 




56.99 




7 


S. 3 30 E. 


96.5 




96.32 


5.89 
.76 




8 


S. 87 45 W. 


174.6 




6.86 
7.20 




174.46 


9 


N. 2 15 E. 


84.2 


. 8414 
.00 




3.31 

.18 




10 


N. 80 00 W. 


20.0 


3.47 

.46 






19.70 




149.17 


147.74 


194.48 


194.16 


Ba 


anced. 


148.46 


148.46 


194.16 





in the last example, the difference between the northings 
and the southings is equally divided. 

As it was judged that sufficient distances were made on the 
two westerly courses, the correction was made on the east- 
ings. 



112 APPENDIX. 

NO IV. 

ON RECTANGULAR SURVEYING. 

Rectangular surveying* is a name given to the method 
here treated of by the late Governor Treadwell. 

In the operation of it, the whole survey is reduced to 
squares and parallelograms, and each of these figures is di- 
vided into two right angled triangles of equal shape, or 
into two trapezoids of equal size and shape, by a boundary 
line of the field running obliquely through it, except when 
the boundary line is directly north and south, then the figure 
is divided into two squares or parallelograms. 

The calculations are made from a meridian drawn, either 
at the eastern or at the western extremity of the map ; and 
the areas are produced by multiplying the latitudes by the 
longitudes made from this meridian. 

All the spaces lying between the field and the meridian, 
and between the parallels of latitude of the northern and 
southern extremities of it, also large spaces lying without 
the Hgure on the opposite side of it, and between those par- 
allels, are included in the calculation ; but that which lies 
without, is eventually excluded. 

Parallels of latitude are drawn from each angle to the 
meridian, which are called meridian distances. 

In forming the column of meridian distances, when the 
meridian is drawn at the eastern extremity, the westings are 
added, and the eastings subtracted ; but when the meridian is 
laid on the west side, the eastings are added and the west- 
ings subtracted. 

The meridian distances proceeding from each end of a line 
are added together, to form the column of double mean dis- 
tances, which the compiler of the foregoing work called se- 
cond departure. 

Meridian distances and double mean distances,! are more 
proper terms or names for these columns, than first departure 
and second departure. 

The meaning of the term meridian distance, is the distance 
made from any meridian. 

The following survey is calculated from the meridian of 

♦Rectangular calculation is as proper. 

+The compiler of the foregoing work would have made use of these 
names, but ha was afraid of infringing on a certain copy-right which has 
expired. 



APPENDIX. 



113 



the first station which is on the west side of the figure, of 
course, the eastings are added and the westings subtracted. 
The whole is illustrated by this figure. 




U4 



APPENDIX. 



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aiiiii^ili ;.r!i I litiiii 

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116 APPENDIX. 

gram, or the double area of one of the trapezoids. Let this 
be a5 — Qz, partly within and partly without the field. To 
the line 6z, nothing is to be added, of course, it is one side 
of the parallelogram zH — w], which is equally divided by the 
closing line. The distance 70.33, multiplied by the southing 
of the closing line, gives the double area of the triangle 
z6 — 1, partly within and partly without the field. 

The three products in the column of north areas, all lie 
Mdthout the field. Those in the column of south areas lie 
partly within and partly without the field, and they include 
all the space which is covered by the products in the column 
of north areas. 

Hence it is plain, that when the sum of the former is sub- 
tracted from that of the latter, the double area of the field 
will remain. In this method, when the column of meridian 
distances and that of double mean distances are correct, the 
sum of the latter will be double to that of the former. 

PENNSYLVANIA METHOD. 

If the writer has been correctly informed, this improve- 
ment was made by Dr. Rittenhouse. 

Only one column is used for meridian distances, but the 
final results are the same as when two columns are used. 

This method is not so easily explained to the learner, but 
is perhaps preferable in practice, because an error may be 
committed in forming the column of double mean distances, 
v.7hich may not be discovered, but in this method, an error 
cannot be committed in the meridian distances, without being 
detected. A full explanation of this method would be tedious 
and perplexing to the learner, without being of the least use 
in performing practical operations, and probably, if made, 
but little attention would be paid to it, therefore, only direc- 
tions how to form the column and how to apply the numbers 
in their practical use will be given. 

The operation of this method is substantially the same as 
that of the other, and the diagram given in that will answer 
for this. The north and south products are precisely the 
same in both methods. A further investigation of this method 
will be left for the learner when he shall be more expe- 
rienced. 

When the two columns in the other method are proved by 
addition, the process is longer than in this. 

The second column in the foregoing example, marked at 
the top, meridian distances, is the method here treated of. 

To form the column, add twice or subtract twice against 



APPENDIX. 117 

each station. Set the first easting 16.90 into the head of the 
column at the upper place. Add it to itself, and the sum is 
33.80 in the lower place. To this number add the next east- 
ing, and they make 39.01 in the upper place. To this num- 
ber add the same easting again, and they make 44,22 in the 
lower place. To this number add the third easting, and they 
make 102. 18 in the upper place. To this number add the 
same easting again, and they make 160.14 in the lower 
place. 

From this number subtract the first westing, and 153.89 
remains in the upper place. From this number subtract the 
same westing again, and 147.64 remains in the lower place. 

From this number subtract the second westing, and 144.15 
remains in the upper place. From this number subtract the 
same westing again, and 140.66 remains in the lower place. 
From this number subtract the last westing, and 70.33 re- 
mains in the upper place. 

From this number subtract the same westing again, and 
00.00 remains. The upper number against each station in 
this column, is the same as the double mean distance which 
stands against it ; and the remainder of the process may be 
performed :as before directed. Another column may be 
formed as the eleventh in this example, marked H. D. at the 
top, which, for distinction is here called half distance. This 
column is the same as that of Gibson's half departure. It 
contains half the sum of the numbers in the double mean 
column. These numbers, when multiplied by their re- 
spective northings or southings, give the simple areas of the 
different figures. 

This method is preferable in practice, as the multiplica- 
tions are greatly diminished. When the last decimal in the 
double mean distances is an odd number, a unit may be taken 
off, and take half the remainder, rather than annex another 
decimal : perhaps this would not make the difference of a 
rod in a survey of three hundred acres. Or the odd num- 
bers in the last place of decimals may be balanced by some- 
times adding a unit. 

If the numbers are diminished a trifle, it may be remarked, 
that, on account of uneven surfaces, there is danger of 
making the distances too much, rather than falling short of 
the true measure. There are other methods by which sur- 
veys may be caculated arithmetically, but none are more 
correct, and perhaps none are so simple and so easy to be 
understood as the methods here treated of These methods 
may be applied in every case in practical surveying which 
depends on a calculation from courses and distances. 
11 



118 



APPENDIX. 



Instead of laying the meridian on one side, it may be laid 
through the map, either at an angle or so as to bisect a boun- 
dary line; but this renders the process more complex and 
difficult. 

PENNSYLVANIA METHOD. 

This example is calculated by chains and links. 



o 


Courses. 


Dist. 


N. 


S. 


E. 


W. 


M. dist. 
164.06 






1 

3 


S. 88° 15' W. 


35.25 




1.08 




55.23 
.21 


128.85 
93.64 




1391580 


S. 86 30 W. 


45.65 




2.79 




45.57 

54 


48.10 
02.56 




225990 


N. 2 15 W. 


32.55 


32.53 






1.28 


1.28 
0.00 


416384 




4 
5 


N. 87 00 E. 


20.25 


1.06 




20.22 




20.22 
40.44 


212332 




N. 3 00 W. 


25.40 


25.37 






1.33 


39.11 

37.78 


9922207 




6 


N. 86 45 E. 


60.00 


3.40 




59.90 




97,68 

157.58 


3321120 




7 


S. 2 45 E. 


25.50 




25.47 


1.22 




158.80 
160.02 




40446360 


8 


S. 3 30 E. 


33.10 




33.04 
.02 


2.02 




162.04 
164.06 




53505608 








62.36 


62.38 


83.36 


83.41 




13872043 


95569538 
13872043 



i81697495 



408.48747 
, 4. 







37.99520 

1 

38 


A. a. 

148 1 


Rods, 
38 



The above survey was commenced and terminated at the 
southeast corner. Against the fourth station, the addition of 
the eastings in the column of meridian distances begins, and 
the subtraction of the vi^estings terminates directly over it. 



APPENDIX. 119 

The lower number against the 8th station is 164.06. This 
is placed over the head of the column, and the three first 
westings are subtracted from it. 

If the fourth course had been placed against the first num- 
ber, and the others had followed in succession, the addition 
would have began at the head of the column, and the sub- 
traction would have ended at the bottom, and the result 
would have been the same. Perhaps this may be a better 
method for the student, and for the young surveyor, but one 
who is experienced can derive no benefit from it. 



No. VII. 

ON PLOTTING SURVEYS. 

Surveys may be plotted by various methods. That which 
is commonly practised, is by a scale and protractor. 

The latter instrument is a semicircle graduated like the 
compass, and it answers the same purpose in laying angles 
on paper, that the compass does in taking them in the field. 

A meridian is drawn for each station or angle in the sur- 
vey, and the angle which each course makes, with its respec- 
tive meridian is laid down with the protractor, and each dis- 
tance by a scale of even parts. It would be well also to 
draw a parallel of latitude for each station, as by such paral- 
lels the protractor may be kept more truly to the meridians. 

A plot may be drawn by laying down the angles by the 
protractor without meridians or parallels of latitude, as has 
already been taught in the foregoing work ; but the writer 
never had so good success by this method as he has had by 
laying his courses from meridians. 

As the scale and protractor are equally subject to error, 
the surveyor will be more likely to draw a correct plot if he 
should dispense with the latter instrument, and lay down the 
boundary lines from the latitude and departure of each, or 
from the latitude and meridian distance of each station. 

To plot from the several latitudes and departures, take the 
foregoing survey for an example.* 

As that survey is small, take half a sheet of paper and 
draw meridians across each end of it. 

On the left hand meridian, make a point for the beginning. 
From that point draw a parallel of latitude to intersect the 
other meridian, perpendicular to, or at right angles with 
each. 

* Page 114. 



120 APPENDIX. 

The latitude of the first course is 36.25. Draw another 
parallel of latitude at that distance above the first. 

The latitude of the second course is 29.54. This added 
to the first, makes 65.79. Draw another parallel at this 
distance above the first. 

To the sum of the first and second latitudes, add that of 
the third, and their sum is 81.32. At this distance above 
the first, draw another parallel. The southing of the fourth 
course is 35.54. Subtract this from the whole sum of the 
northings, and 45.87 remains. At this distance above the 
first, draw another parallel. From the last remainder, sub- 
tract the southing of the fifth course, and 6.02 remains, 
which is the southing of the closing line. At this distance 
above the first, draw the last parallel. In like manner, draw 
the meridian of each station, according to the departure 
made on each course. The intersection of these lines will 
be the angles of the figure. If the distances shall not ex- 
actly fall into these points, the process will contain some 
error, either in drafting or from a scale not accurately di- 
yided. 



To PLOT FROM LATITUDES AND MERIDIAN DISTANCES. 

First, form the column of meridian distances. Next 
draw the meridian of the first station, and the sevei-al paral- 
lels of latitude as before directed. On these parallels, lay 
the meridian distance of each station, viz. — from s to 2, 
16.90; from n to 3, 22.11 ; from m to 4, 80.07; from a to 5, 
73.82; from ^ to 6,70.33. 

From one of these points to another draw the boundary 
lines. Great care must be taken to keep the latitudes par- 
allel and perpendicular to the meridian. The scale must be 
correctly divided, the dividers nicely pointed, and the rule 
must be straight. Whether the protractor is used or not, 
before a plot of a survey is drawn, it should be balanced, 
and both courses and distances corrected according to the 
balancing. 

The following example is given as a proof of the necessi- 
ty of balancing a survey before the map is drawn. 

A farm is to be divided among a number of heirs. A sur- 
vey of it is taken, and the difference between the two 
columns of departure, is two rods for each. The survey is 
balanced and calculated arithmetically, and is found to con- 
tain two hundred acres. 



APPENDIX. 121 

The surveyor next draws his map, by which the divisions 
are to be made, according to the coui'ses and distances as 
they were taken on the ground. The plan does not close 
by nearly two rods and three quarters. He next corrects 
the lines, and makes the map close as well as he can; and 
when the divisions are made, they may not agree with the 
first calculation, by two or three acres or more. Should the 
map be drawn as before directed, by the latitudes and de- 
partures as balanced, or by the latitudes as balanced and the 
meridian distances, it would close, and would be in exact 
conformity to the calculation made arithmetically. If the 
divisions are made arithmetically, the calculations must be 
made according to the balancing, or the divisions will not 
agree with the first calculation. 

When a map of a multangular piece of land of very ir- 
regular shape is to be drawn, whether a calculation or a 
division is to be made from it, the surveyor should measure 
across the lot between two opposite angles in some central 
place, at least once, and in more places, if convenient and 
the case requires it. By cross measures, the map may 
be more correctly drawn, and the divisions should be calcula- 
ted separately. In such cases, the surveyor will be more 
likely to ascertain the true contents than he would by sur- 
veying only the boundary lines and then calculating the 
whole together. 



NO. VIII. 
On dividing land. 

As lands are divided into so great a variety of shapes, 
rules cannot be given which will answer in all cases. 

In distributions of estates, the divisions are commonly 
made with scale and dividers. This method will answer 
well provided the map is drawn on a large scale, which 
should not be less than ten rods to an inch. 

As more confidence can be placed in arithmetical calcula- 
tions, it may be recommended to every surveyor to make as 
little use of the scale and dividers as he can; but in our 
country, they cannot, in all cases, be dispensed with. 

In dividing lands, it will be acknowledged by every expe- 
rienced surveyor, that it is a difficult matter to make the 
amount of a considerable number of divisions agree with 
the whole, when calculated by itself. 
11* 



122 APPENDIX. 

A few examples by arithmetical calculation will be given. 
Let the preceding figure be divided into two equal parts by 
a line running eastward from the second angle. At what 
point on the eastern boundary will it terminate? 

As you do not know the point, first calculate the area of 
that part which lies above a line from 2 to 5. 

Set the courses and distances of the second, third and 
fourth courses into their respective columns, having a blank 
line for the course, distance, latitude, departure, &c. of the 
closing line from 5 to 2. On the two first of these courses 
the sum of the northings is 45.07 rods, and that of the east- 
ing is 63.17 rods, and the course from 4 to 5 contains 35.45 
rods of southing and 6.25 rods of westing. The southing 
and westing of the latter being subtracted from the north- 
ings and eastings of the two former, leaves a balance of 
9.62 rods of southing and 56.92 rods of westing to fill the 
blank line. The latitude and departure of the closing line 
being given, the course may be found by the following pro- 
portion. 

As the latitude is to radius j so is the departure to the tan- 
gent of the course. Look in the column of tangents for the 
course. The course being found, the distance may be found 
as follows. As the sine of the course is to the departure : 
so is radius to the distance. See them worked. 

Latitude 9.62, and the departure 56.92, given to find the 
course and distance. 

Lat. 9.62 .... 0.983175 

: Radius - - - - 10.000000 

: : Departure 56.92 - - 1.755265 



Radius and dep. added - 11.755265 

Lat. brought down - - 0.983175 

Tangent of the course 80° 25' 10.772090 

Sine of 80° 25' - - - 9.993896 

Departure 56,92 - - - 1.755265 

: Radius .... 10,000000 



11,755265 
9.993896 



: Distance - 57.72 - 1,761369 

The course from 5 to 2 is S. 80° 35' W., and the distance 
57,72 rods. This being ascertained, the contents of that 



APPENDIX. 128 

part of the figure above this line will be found, eleven acres 
and thirty-four rods, leaving a deficiency of one acre and a 
half and thirty-three rods of making one half of the Avhole 
figure. 

This quantity is to be laid in a triangle on the line from 2 
to 5, and on that from 5 to 6, running to a point at 3. 

The question is, Avhat distance from 5 towards 6, will be 
required to give the contents of the triangle? To answer 
such a question, the area, the contained angle, and one side 
of the triangle must be given to find the length of the con- 
tiguous side, including the angle. Having these data, take 
the following rule. 

To the sine of the given angle, or to its supplement if 
obtuse, add the logarithm of the given side ; subtract radius 
from this sum, and subtract the remainder from the logarithm 
of the double area: the last remainder will be the logarithm 
of the side required. In this case, the angle formed by the 
line from 5 to 2, and by that from 5 to 6, contains 75° 25', 
the given side is 57.72 rods, the area of the triangle is 273 
rods, and the double area is 546 rods. See the rule worked^ 

Sine of 75° 25' ... 9.985778 
Logarithm of the given side 57.72 1.761369 

Cancel the first figure and R. is 

subtracted - - - 1,1.747147 
Logarithm of the double area - - . 2.737193' 

Remainder brought down .... 1.747147 



Logarithm of the side required 9.77 rods^ - 0.990046 

Measure from 5 towards 6, 9 rods and 19 1-4 links to a 
beech tree, from thence on a straight line to 2, and the figure 
will be equally divided. The true position of the divisional 
line being established, the course and distance of it may be 
calculated as before directed. 

The course and distance from 2 tO'5 are N. 80° 25' E., 
57.72 rods: from 5 to the beech tree, S. 5° W., 9.77 rods. 
On the first, 9.62 rods of northing and 56.92 of easting are 
made. On the second, 9.74 rods of southing and .85 of a 
rod of westing are made. 

The northing of the first course being subtracted from the 
southing of the second, and the westing of the second from 
the easting of the first, .12 of a rod of northing and 56.0T 
rods of westing are given as data by which the course and 
distance from the beech tree to 2 may be calculated. The 
course is N. 89° 53^ W., and the distance is 56.07 rods. 



124 APPENDIX. 

Suppose it is next required to lay out 15 rods in width be- 
low and parallel with the dividing line. 

As the eastern and western boundary lines both turn ob- 
liquely from the dividing line, the question is, what distance 
will be required on each to give the required width? 

Make the distance on each boundary line the hypothenuse 
of a right angled triangle, and 15 rods, the width required, 
one of the legs or the base. The angle at 2, formed by the 
boundary and dividing lines, contains 114° 53'. Subtract 
90^ from this, and 24° 53' remains, being the angle formed 
by the given leg (15) and the hypothenuse. 

Take the following proportion to find the hypothenuse. 

As the co-sine of 24° 53' ; is to 15, the given side; so is 
radius to the distance required. See it worked. 

Co-sine of 24° 53' - - - 9.957687 
: given side 15 rods - - 1.176091 

: : Radius - - - - 10. 



11.176091 
9.957687 

: side required 16.54 rods - 1.218404 

The dividing line and the eastern boundary, at the beech 
tree, form an angle of 85° 7'. Subtract this from 90° and 
4^ 53' remains, being the angle by which the east side must 
be worked. 

Co-sine of 4° 53' - - - 9.998421 
: given side 15 rods - - 1.176091 

: : Radius - - - - 10. 



11.176091 
9.998421 



: side required 15.05 rods - 1.177670 

The distances required are 15 rods 1 1-4 link on the east- 
ern, and 16 rods 13 1-2 links on the western boundary. 

Measure from 2 towards 1, 16 rods 13 1-2 links to a 
spruce tree, and from the beech tree towards 6, 15 rods 
1 1-4 link to a pine tree, and calculate the distance from the 
pine to the spruce, and the division will be completed. This 
calculation must be made by a traverse from the courses 
and distances already known. 

From the spruce to 2, N. 25° E. 16.54 rods; from 2 to the 
beech, S. 89= 53' E. 56.07 rods ; from the beech to the pine 
S. 5° W. 15.05 rods. Arrange these courses and distances 



APPENDIX. 



125 



in their proper columns as follows, and calculate the latitude 
and departure of each, having a blank line for the last. 



Courses. 


Dist. 


N., 


S. 


E. 


W. 


N. 35° 00' E.. 


16.54 


14.99 


.12 


6.98 
56.07 




S. 89° 53' E. 


56.07 




S. 5° 00' W. 


15.05 




14.99 




1.31 






.12 


61.74 






15.11 


15.11 


63.05 


63.05 



Having calculated the latitudes and departures, subtract 
the northing of the first course from the sum of the south- 
ings of the two last, and .12 of a rod remains to be entered 
in the blank column of northings; also, subtract the westing 
of the third from the sum of the eastings of the two first, 
and 61.74 remains to fill the blank column of westings. 
This balaire^ of northing and of westing is the latitude and 
departure of the line from the pine to the spruce. The dis- 
tance is 61.74 rods, and the course agrees with that on the 
opposite side. 

Suppose it is next required to lay out four acres adjoining 
and parallel with the line from the pine to the spruce. 

As the figure of this division is not regular, no rule can be 
given by which it can be calculated by one operation, but it 
must be done by approximation. 

Reduce the quantity of the division to rods, and divide 
that sum by the length of the known side, and the quotient 
will be 10.36 rods, but as the south side will be longer than 
the north, the width cannot be so much. 

Assume 10 rods as the width, and calculate the distance 
on each end by the same process that you did those on the 
last. The angles in this are the same as in that. 



Co-sine of 24° 53' 
: given side iO rods 
: : Radius 



side required 11.03 rods 



9.957687 
1.000000 
10. 

11.000000 

9.957687 

1.042313 



126 APPENDIX. 

Co-sine of 4° 53' - 

: given side 10 rods 

: : Radius - - . . 



9.998431 
1.000000 

10. 

11.000000 
9.998431 

1.001579 



: side required 10.04 rods 

The distances required are 10 rods 1 link on the east, 
and 11 rods 3-4 of a link on the west boundary. 

Measure from the spruce towards 1, 11 rods 3-4 of a link 
to a hemlock, and from the pine towards 6, 10 rods 1 link to 
a maple, and calculate the distance from the latter tree to 
the hemlock. 

From the hemlock to the spruce N. 35° E. 11.03 rods; 
from the spruce to the pine, S. 89° 53' E. 61.74 rods ; from 
the pine to the maple S. 5° W. 10.04 rods. 



Courses. 


Dist. 


N. 1 S. 


E. 


W. 


N. 35° 00' E. 


11.03 


10.00, 


4.66 
61.74 




S. 89o 53' E. 


61.74 


[ .12 




S. 5°00'W. 


10.04 


! 10.00 


■ 


.87 






.12, 


66.40 


65.53 






10.1310.12 


66.40 



The northing and westing in the blank line is the latitude 
and departure of the line from the maple to the hemlock. 
The distance required is 65.53 rods. To this distance, add 
that of the north side, and the sum of both is 127.27 rods. 
Multiply half of this sum by 10 rods, the width of the divi- 
sion as it now stands, and the product is 636.3 rods. Sub- 
tract this from 640, and 3.7 rods remain, being a deficiency. 
To this deficiency annex three ciphers, and divide that sum 
by the distance from the maple to the hemlock, and the quo- 
tient will be nearly 6, which is .06 of a rod, or 1 1-3 link. 
To the quantity already found, add this width on the south 
side, and the division will be completed. 

The south division of the whole figure contains twelve 
acres, three-quarters and twenty-seven rods. This division 
now stands in three subdivisions. 



APPENDIX. 



127 



The first contains five acres, two quarters and three rods; 
the second, four acres, and if the foregoing calculations are 
correct, the third contains three acres, one quarter and twen- 
ty-four rods. See the work proved. 

There now remains between the southeast corner and the 
last subdivision, 5.08 rods, and between the southwest corner 
and the same division, 12.37 rods to be calculated on. 



Courses. 


Dist. 


N. 


S. 


E. 


W. 


Merid. 
Dist. 


North 
Areas. 


South 
Areas. 


S. 5° 00' W. 


5.08 




5.06 




.45 


141.11 
140.66 




714.0166 


S. 85 05 W. 


70.48 




6.02 




70.33 


70.33 
00.00 




423.3866 


N. -25 00 E. 


12.37 


11.21 




5.23 




5.23 
10.46 


58.6283 










.13 


65.55 




76.01 
141.56 




9.8813 






11.21 


11.21 


70.78 


70.78 




58.6283 


1147.2845 

58.6283 



d088.656:i 



160J^S^73 



I544./3 



A. ar. Rods. 

Co.MTENTS 3 1^ 



NO. IX, 



ON BOUNDS AND ROADS. 

As the magnetic needle cannot be relied on in renewing 
!ost boundaries, it is of the first importance that good, sub» 
stantial bounds be kept up. In divisions, or distributions of 
lands, surveyors ought to see that such bounds are erected. 
It is their business to cause them to be made, and such 
bounds ought to be described in deeds, or in the instruments 
by which lands are conveyed, and to be a part of the record. 
By proper care and attention to this part of the business, 
many disputes may be prevented. 

Highways are attended with more difficulties of this kind 



128 APPENDIX. 

Shan the location of the divisions of real estate. In laying 
highways, it is the common practice to lay the centre lines, 
and order the roads to be of a certain width, and stakes are 
usually set at the angles. Care is not often taken to set 
bounds on the sides, and when the roads are made, the cen- 
tre bounds are destroyed, and the travelling path is often 
built on one side of the centre ; but as the bounds are lost, 
it is utterly impossible, after a few years have elapsed, to 
ascertain by the survey where the road was laid. 

Surveyors who are employed on such business ought to de- 
scribe the angles, or as many as is practicable, in such a 
manner that the road may afterwards be found. 

In taking surveys of roads, the distance on each proprie- 
tor's land must be noted for the purpose of assessing dam- 
ages, but these distances need not be entered in the record. 
The whole distance on each course must be entered in the 
record, and it is no matter whether it crosses the land of one 
or of ten different owners. 

The following, being a resurvey of a part of the New 
London and Lyme turnpike road, as was recently taken, is 
prepared for record, and it may serve as an example. 

As there is no object of sufficient permanency directly 
against the point of the beginning of said road, it may be 
found by the following direction. 

From a point, 35 links northerly of the northwest corner 
B. Brown's stone house, in the range of the west side, run 
{as the magnetic needle now points*) S. 66° 25' W. 1 
chain 56 links to the centre of a stone set in the ground be- 
neath the surface, which is the point of beginning of said 
road — thence, on the same course (S. 66° 25' W.) 4 chains 
60 links to a point 49* links northerly of the northwest 
corner of G. Jones' store, in the range of the west side ; 
thence S. 79° 25' W. 11 chains 52 links to a point 48 links 
northerly of the northeast corner of the Norris house, in the 
range of the east side; thence S. 80° 10' W. 17 chains 20 
links to a point 50 links northerly of the northeast corner of 
the Chester house, in the range of the east side. The line 
described by the foregoing survey, is the centre of the road 
which is four rods in width. 

An angle in a road may be described by its bearing and 
distance from some permanent object, such as the corner of 
a building, the center of a well, a point of a rock, a tree, &c. 
In cases where no permanent object is near an angle, the 
side bounds ought to be set before the Committee or Com- 

*June, 1835. 



APPENDIX. 129 

missioners, (as they may be named) proceed any further in 
the location of the road. 

When the centre line of a road is laid, the distance which 
it runs on any proprietor's land may be multiplied by the 
width of the road, and the product will be the quantity of 
land taken. 

Whether the centre or a side of a road is laid, the lines al- 
most uniformly cross the boundary lines of lots of land in 
such oblique directions, that if a side is laid, it will require 
too much time to ascertain the exact quantities of land, which 
will be taken from different proprietors. 

Other advantages will be found by laying the centre line of 
a road, which need not here be mentioned. 

DIRECTIONS FOR TAKING MINUTES ON A ROAD. 



rods. 
S. 11° 15' E. 17 

+ 30 

+ 89 

+ u 


links. 

00 on W. H's. land. 
00 on R. S.'s " 
00 on T. B.'s " 
GO rod on old road. 


^hole distance 137i 





NO. X. 

ON DISTRIBUTING ESTATES. 

As the distribution of estates is connected with surveying, 
something on that subject, may, with propriety be added to 
this work. 

Surveyors are agreed that written distributions of real 
estate are often, and too often returned to Courts, accepted 
and recorded, which are so unintelligible that it is extremely 
difficult and sometimes impossible to ascertain with any de- 
gree of certainty, where flie divisions of land were originally- 
made. 

In distributing estates, surveyors have the minutes, and it 
properly belongs to them to write the distributions. 

To young learners who are coming forward to take an ac- 
tive part in this business, some directions may be given. 

The divisions of land among heirs in most cases, are first 
made on paper. When these are completed and agreed to 
12 



130 APPENDIX. 

by the distributors, erect the bounds between the several 
divisions. Next, from the map on which the divisions were 
made, which will be full of marks and perhaps some blots, 
copy a neat handsome map on new paper, noting thereon all 
the courses and distances and all the bounds, which should 
be entered in the distribution. Also, note in each division 
of the map the quantity of land it contains, with the name of 
the heir to whom it was distributed. This map is to be kept 
by the heirs. Next write the distribution, and before it 
shall be returned to Court, see that the heirs have a copy 
of it. 

With a map and a copy of the distribution, the heirs will 
have a record in their own house, from which, at any future 
period, they may find the divisions of their land. 

The following form of a distribution has been approved 
by experienced Judges* of Probate Courts. 

To the Honorable Court of Probate for the District of 
Rockingham. 

The undersigned, distributors of the estate of Benjamin 
Banister, Esquire, late of Applebury, within said district, 
deceased, have distributed said estate, under oath, as 
follows : 

To Philura Banister, widow of said deceased, as her 
right of dower in said estate, fifty acres of land lying on the 
front of the farm, bounded as follows : — Beginning at the 
northwest corner of said farm by the highway, thence run- 
ning east by Roderick Random's land, 50 rods to a maple 
tree, thence south parallel with the highway 160 rods to a 
hemlock tree by Thomas Trunnion's land, thence west by 
said Trunnion's land 50 rods to the highway, thence north 
by said highway 160 rods to the place of beginning. Also 
the following parts of the dwelling house [describe the parts.] 
Also the following parts of the barn [describe the parts and 
of other buildings.] 

PERSONAL estate. 

Scott's Bible, $15. Bed, curtains, &c. $45. Look- 
ing glass, $15. $75.00 

To Benjamin B. Banister, the north division of the 
farm, containing one hundred acres, being partly encumber- 
ed by dower, bounded as follows : — Beginning at the north- 

* Ccdled Surrogates in some states. 



APPENDIX. 131 

west corner of said farm, thence running east by Roderick 
Random's land 200 rods to a beech tree by Oliver Gulliver's 
land, thence south by said Gulliver's land, 80 rods to a 
spruce tree, thence west by land set to Matilda Banister, par- 
allel with said Random's land, 200 rods to a white pine tree 
by the highway, thence north by said highway, 80 rods to the 
place of beginning. 

Also one undivided half of all the buildings belonging to 
said estate, being partly encumbered by dower. 

Said division of real estate is appraised at - $2500.00 

PERSONAL ESTATE. 

One horse, $100. Two yoke of oxen, $130. Ox 
wagon, $50. $280.00 

To Matilda Banister, the south division of the farm, 
being the remainder and residue of said farm, containing one 
hundred acres, and is 80 rods in width from front to rear, 
being partly encumbered by dower, bounded as follows : — 
North on the division set to Benjamin B. Banister, south on 
Thomas Trunnion's land, east on Oliver Gulliver's land, 
west on highway. 

Also one undivided half of all the buildings belonging to 
said estate, subject, in part, to incumbrance. 

Said division of real estate is appraised at - $2500.00 

PERSONAL estate. 

Bed, curtains, &c, $45. Mahogany table, $12. 
Set of silver spoons, $18. - - - - $75.00 

Said widow and said heirs have equal privileges of passing 
to and from any and every part of the real estate set to each 
of them in the foregoing distribution, at the usual passways, 
such as doors, stairs, gates, bars, lanes, paths, &c. 

Hugh Hunter, 
Charles Chalker, 
Applebury, July^Oth, 1832. Christopher Cutler. 

The foregoing caption or preamble is sufficient, as it will 
appear of record that the distributors were appointed. 
Forms of distribution must vary according to circumstances. 



NO. XI. 

ON LEVELLING. 

It is not expected that land surveyors will qualify them- 



132 



APPENDIX. 



-selves for civil engineers, or that they will furnish themselves 
with suitable instruments for that business, but every survey- 
or should furnish himself with an instrument with which he 
can take levels and angles of elevation* or depression, with 
a sufficient degree of accuracy to answer in cases of locating 
roads, of ascertaining whether water may be carried in an 
aqueduct from one place to another, and to ascertain the fall 
Of mill seats ; also to answer in all common cases. A cheap, 
simply constructed instrument, represented by the following 
figure, is recommended. 



^BliSI^^ 



Let AB be a strip of a board three inches wide and three 
feet in length, or longer if necessary, made perfectly straight 
on the the top. The perpendicular piece which is dove- 
tailed into the top, should be of such a width at the bottom 
that it may be graduated either way from the centre, ten or 
fifteen degrees ; and of such a length that the radius by which 
the graduated arch is swept, should be at least a foot. Great 
care must be taken in the graduation, to have it done cor- 
rectly and by fine lines, and to have the centre perpendicu- 
lar or at right angles with the top. The plumb line should 
be a fine smooth silk thread or hair. At z, a hole should be 
bored of a suitable size to set it on the head of a compass 
staff". Such an instrument, if correctly made, will answer all 
the purposes before mentioned.f 

Before directions are given for levelling, the difference 
between the apparent, and the true level, will be explained. 
The former is a tangent, or a straight line, drawn and con- 

* An angle of elevation rises above a horizontal line ; a depression falls 
below it. 
t This instrument may be improved by fixing sights on the top. 



APPENDIX. 133 

tinued from any point on the globe, the surface continually 
departing from it. The latter is the curvature of the earth 
or a line parallel with it, like two concentric circles, each 
part of the true level, whatever may be its length, is equidis- 
tant from the centre of the earth. The straight line mn, in 
the following figure, represents the apparent, and the curved 
line az, the true level. 



Let the above described instrument be set on any part of 
the ocean and be levelled by the plummet, the top being even 
with the surface of the water, and let a line with the top be 
continued ; as the plummet hangs directly towards the centre 
of the earth, it is evident that this line is a tangent, and at 
the end of one mile it will be 8 inches, at the end of 10 miles 
66 feet 4 inches, and at 20.miles, 266 feet iabove the surface 
of the water. 

In levelling between two points at a considerable distance 
apart, where the instrument must be often set, as the plum- 
met, like the spokes in a wheel, each time hangs directly 
towards the centre of the earth, it will keep the top of the 
instrument on the true level, provided it is set on the centre 
of each stationary distance. But when the level is taken 
from the first to the second station, and from the second to 
the third, and so on in succession to the end, each level will 
be a tangent ; of course the apparent level will be taken. 

The surveyor should also be furnished with two observa-, 
tion staves, ten feet, or more, in length, divided into feet and 
inches. These staves should be committed to the care of 
two skilful men, who will keep them perpendicular at the 
stations, and who will be correct in their assistance in taking 
the observations. Suppose the first stationary distance, on 
which a level is to be taken, is 20 rods. The staves must 
be erected at each terminating point, and the surveyor must 
take his station equidistant from each. A target must be 
raised on each staff as the surveyor may direct. 

If the level strikes the back staff 7 feet, and the forward 
staff 2 feet above the surface, it is apparent that the rise be- 
tween the stations is 5 feet ; but the subtraction need not be 
made, each observation should be entered in its respective col- 
umn, under the head of fore heights and back heights, or fore 
sights and back sights, as the surveyor may choose to term 
them. 

When the first observation is completed, the back staff 
should be carried forward to a convenient place, and the 
12* 



134 



APPENDIX. 



second observation taken as the first. In like manner the 
rest of the observations must be taken and entered in their 
respective columns. 

If the sum of the back sights shall exceed the fore sights, 
the terminating point is higher than the place of beginning, 
but if the sum of the fore sights shall exceed the back sights, 
then the terminating point is lower than the point of begin- 
ning, as will appear by the following examples. 





FIRST 


EXAMPLE. 






Fore 


sigkts. Back sights. 






Feet. Inches. 


Feet. Indies 


1st Observation 7 00 


00 


2d 


" 


8 00 


2 00 


3d 


a^ 


8 00 


1 00 


4th 


« 


7 00 


2 00 


5th 


" 


7 00 


2 00 


6th 


" 


1 00 


7 00 


7th 


" 


1 00 


8 00 


8th 


u 


1 00 


8 00 


9th 


u 


1 00 


8 00 


10th 


" 


00 


8 00 




41 


46 00 








41 00 



Difl'erence 5 00 
The terminating point is 5 feet higher than the point of 
beginning. 



SECOND 


EXAMPLE. 




Fore 


sights. Back sights. 




Feet. Inches. 


Feet. Inches 


1st Observation 7 00 


00 


2d 


8 00 


2 00 


3d 


8 00 


1 00 


4th 


7 00 


2 00 


5th 


7 00 


2 00 


6th 


1 00 


7 00 


7th 


1 00 


8 00 


8th 


1 00 


8 00 


9th 


1 00 


8 00 



41 00 
38 00 



38 00 



Difference 3 00 



APPENDIX. 135 

The terminating point is 3 feet lower than the point of 
beginning. 

When the sums of the two columns aire equal, the ex- 
treme points are on the same level. It will not be necessa- 
ry to enter the stationary distances in the field notes, unless 
the whole distance between the two extreme points, or a 
profile of the surface is wanted. 

On a distance of 80 rods, the difFerenc(|between the ap- 
parent and true level, is half an inch ; at half a mile, two 
inches. 

In levelling to ascertain how high a dam across a stream 
may be raised without flowing the meadows, or impeding 
the wheel of a mill above, great caution should be observed, 
for if a dam is raised to a level with a point 80 or 100 rods 
above, to which it may be supposed that water may flow 
without damage, it will rise higher at that point than any- 
one would suppose, who has not investigated the subject. 
The rise of water at the head of a pond, will depend in a 
great measure on the width of it, and on the size and force 
of the stream. 

In locating roads, sometimes it is necessary to ascertain 
the difference between the elevation of the hills on two 
routes, both proceeding from one and terminating at the 
same point. Though the difference of itself, between the 
rise and fall on two routes, may not in all cases be a correct 
rule by which to give preference, yet this evidence, with a 
comparison between the steepness of the hills on two 
routes, is sufficient. 

To perform this service by the slow process of levelling 
for the conveyance and rioe of water, would be attended 
with an expense which the case would not justify, therefore 
a more expeditious method will be pointed out. At conven- 
ient distances, take all the angles of elevation and of de- 
pression, with the instrument before described, measuring 
the distance between each station. These angles will be 
taken more correctly by back sights, as the surveyor can 
better select proper places for taking them than an inexpe- 
rienced assistant. The courses or bearings of the several 
stationary distances, may or may not be taken with a com- 
pass. 

The elevation of the hills may be ascertained as correctly 
without the courses as with them. If the courses are taken, 
it will require more time and expense. Ha\ing measured 
all the stationary distances and taken all the angles of ele- 
vation and depression on a route, arrange them, as in the 
following table. The first column contains the number of 



136 



APPENDIX. 



Stations ; the second, the distances in rods ; the third, the 
degrees of elevation or depression with the letter E. or D. 
against them. The column H. D. contains the horizontal 
distance made on each line. The horizontal distance, with 
the elevation or depression against it, is the same as the 
latitude and departure on a course taken by the compass. 
The column P. H. contains the perpendicular height at the 
end of each lin^bove the horizontal line. This column in 
this case, is formed by adding the elevations and by sub- 
tracting the depressions. 



o 


Dist. 

rods. 


o 




H.D. 


E. 


D. 


P.H. 

3.49 


1 


50. 


4 


E. 


49.88 


3.49 


2 


40. 


5 


E. 


39.85 


3.49 




6.98 


3 


30. JS 


E. 


29.96 


1.57 




8.55 


4 


20. \2 


D. 


19.99 




.70 


7.85 


5 


40. 4 


D 


39.90 




2.79 


5.06 


6 


50. 3 


D. 


49.93 




2.62 


2.44 


7 


45. 


I 


E. 


44.99 


.79 




3.23 


8 40. 


4 
3 


E. 


39.90 


2.79 




6.02 
8.64 


9 


50. 


E. 


49.93 2.62 


10 


40. 


1 


E. 


39.99 .87 




9.51 








15.62 


6.11' 1 



By this calculation it appears that the sum of the eleva- 
tions amount to 1 5.62 rods or to 257 feet 8 3-4 inches, and the 
depressions amount to 6.11 rods or to 100 feet 9 3-4 inches, 
which may be thus expressed, 257 feet 8 3-4 inches rise, and 
100 feet 9 3-4 inches fall. It also appears that the hill at 
the terminating point is 24 links or 15 feet 10 inches higher 
than the top of the first hill. 

By this method of taking elevations, they are the appa- 
rent level, but this will answer the purpose for locating 
roads. 



APPENDIX. 137 



Directions to make a profile of the above survey. 

Lay the plan on a scale of ten rods to an inch. Draw a 
straight line about 3 1-2 feet in length for a horizontal line. 
On this line lay down the several horizontal distances as 
they stand in the table. At the end of each of these dis- 
tances lay down the perpendicular height which stands 
against it, at right angles with the horizontal line. From 
one of these points to another, draw a line from the begin- 
ning to the end, which will represent the surface of the 
ground. 

Profiles of roads, or of certain hills on roads, are good 
evidence to carry into Courts, in disputed cases of this kind. 
When such testimony is exhibited, the elevations of hills 
should be given in feet and inches. Also, the rise and fall 
should be given in this measure. 



MISCELLANIES. 

to reduce chains and links to feet and inches. 
Rule. 

Multiply the chains and links, or any number of links 
less than a chain, by 66, the number of feet in a chain, and 
from the product point off two figures at the right, for deci- 
mals. The figures at the left will be feet. Multiply the de- 
cimals by 12, the number of inches in a foot, and point off 
two figures at the right. ' Those at the left will be inches. 
Multiply the last decimals by 4, and point off two figures at 
the right, and that at the left will be quarters of an inch. 

Example. 

In 2 chains 22 links, how many feet and inches ? 
chj, I. 
2.22 
66 



1332 
1332 

146.52 
12 



138 APPENDIX. 

104 
52 

6.24 

4 

.96 Ans. 146 ft. 6 1-4 in. nearly. 

To ASCERTAIN THE NUMBER OF INCHES IN A LINK. 

As it will not increase 66 by multiplying it by 1, multiply 
66 by 12, and the product will be 7.92 inches. 

to reduce inches to the decimal of a foot. 
Rule. 

Annex two ciphers to the inches and divide that sum by 
12, and the quotient will be the decimal required. 

Example. 
What part of a foot is 9 inches ? 

12)900(.75 

84 

60 

60 Ans. .75 or 75-100 

To reduce feet and INCHES TO CHAINS AND LINKS. 

Rule. 

Reduce the inches to the decimal of a foot, and annex that 
to the feet, or if there are no inches, annex two ciphers to 
the feet and divide that sum by 66, and the quotient will be 
chains and links. 

Example. 

In 440 feet 3 inches, how many chains and links ? 

66)440.25(6.67 
396 

442 
396 



APPENDIX. 

465 
462 



139 



3 Ans. 6 ch. 67 links. 



When a piece of land is calculated by chains and links, 
and the contents stand in acres and decimal parts of an acre, 
it may be multiplied by the price of an acre, and the product 
will be the amount. 

Example. 

A piece of land 16 chains and 75 links in length ; and 12 
chains and 25 links in breadth, is sold for $25 25 per acre, 
what is the price of it ? 



Length 
Breadth 



16.75 
12.25 



Acres and decimal parts, 



8375 
3350 
3350 
1675 

20.51875 

25.25 



10259375 
4103750 

10259375 

4103750 



Answer, $518.09.84375 

What is the length of a side of a square which contains 
6040 acres ? 

6040 
4 



24160 
40 

Logarithm of 966400 J5.985157 

2.992578. Answer, 983.06 rods. 

What is the length of a side of a square which contains 
4 acres or 640 rods ? 



140 APPENDIX. 

Logarithm of 640 13.806180 

1.403090. Answer, 25.3 rods. 

A four sided figure, described by the following courses 
and distances, is divided into two triangles to find arithme- 
tically the contents of each, and the amount of both, viz. 
A, B. N. IQo E, 55 rods, B. C. S. 85° E. 65 rods, C. D. S. 8° 
W. 60 rods, D. A. N. 80° 35' W. 66.85 rods. The supple- 
ment of the angle contained between the two first sides is 
S6°, what is the area of the triangle ? 

Sine of 85° - 9.998344 

A. B. 55 rods - 1.740363 

B. C. €5 do. • - 1.812913 



Cancel the first figure 1.3.551620— -Double area 3561 

160)1780.5(11 
160 

180 
160 

A. Q. R. 

Answer, 11 20 1-2 20.5 

The angle contained between the two last sides is 88° 35', 
what is area? 

Sine of 88° 35^ - 9.999867 

C. D. 60 rods - 1,778151 

D. A. 66.85 rods - 1.825101 



Cancel the first figure 1.3.603119— Double area 4010 

160)2005(12 
160 

A. Q. R. 405 

Answer » 12 2 05 320 

First triangle 11 20 1-2 

85 

Whole contents 23 2 25 1-2 

Perhaps the above is as short and as certain a method to 
calculate the contents of an oblique angled, four sided figure 
as can be taken.* 

* Any polygon may be reduced to triangles, and the contents calculated 
by the same method. 



APPENBIX. 141 

The method of calculating the acres of such figures by 
multiplying together half the sum of the two opposite sides, 
is incorrect, or the only certainty there is in it, is that of 
making in a greater or less degree, an excess of quantity. 
In cities, it is the practice to measure lots by feet and 
inches. 

To calculate the areas of such lots, reduce the inches to 
the decimal of a foot, annex such decimals to the feet to 
which they belong, and calculate as by other measure, which 
will give the areas in square feet. 

When it is required to give the areas of such lots in square 
rods, and the contents stand in square feet, divide the feet 
by 272.25, the number of square feet in a rod, and the quo- 
tient will be the answer ; or the feet and inches given in the 
distances, may be reduced to chains and links, or to rods 
and decimal parts of a rod, and the calculations made as in 
other cases. In measuring city lots, as step-stones and 
other obstructions may be in the way, extend a rope across 
the front. — Let it be level, drawn tight, and made fast at each 
end. Measure on the rope ; also, measure the other sides 
with equal accuracy if necessary. 

In the two first editions of this work, a rule was inserted 
to prove the correctness of the courses in a survey, but it 
was afterwards discovered by Mr. Flint and by others that 
the rule will prove courses to be correctly taken when they 
are incorrect. 

The same rule has recently made its appearance in the 
American Journal of Science and Arts, and it may take a 
second tour among surveyors under the character of an un- 
erring rule. 

Form of a field book. 

Beginning at a mere-stone at the south-west corner. 
Rods. Links. 

1. N. 25° 00' E. 40 00 to a pine tree, 

2. N. 10 00 E. 30 00 to a hemlock tree, 

3. N. 75 00 E. bO 00 to a spruce tree, 

4. S. 10 00 W. 36 00 to a beech tree, 

5. S. 5 00 W. 40 00 to a maple tree, 

6. S. 85 05 W. 70 12 to the place of beginning. 

On account of the diurnal motion of the magnetic needle, 
in the warm season of the year, the courses in all surveys, 
if practicable, should be taken before 9 o'clock in the raorr-' 
ing. 

13 



142 APPENDIX. 

Let this matter be investigated. A survey is commenced 
at seven o'clock in the morning, but is not completed until 
three o'clook in the afternoon. The course of the first line 
is N. 5° E., and the distance is 70 rods. The departure on 
this course and distance is 6.10 rods. 

When the survey is completed, the bearing of this line iS' 
again taken, and the course is N. 5° 10' E. The departure 
is now 6.30 rods, five links more than it was in the morning. 

Every compass which is in such order as it ought to be, 
will generally find in the summer, from morning to one 
o'clock, as great a change as this, often greater, but seldom 
less. 

The writer knows not who invented the following rules 
for finding contained angles, but they have been extensively 
adopted into practice. 

When the first letters are alike, and the last 
unlike, add the courses. 

When the first letters are alike, and the last 
also, subtract the less course from the greater. 

When the first letters are unlike and the last 
alike, add the courses and subtract their sum 
from 180O. 

When the first and the last letters are unlike, 
subtract the less course from the greatei', and 
the remainder from 180°. 

To find the quantity of an angle, reverse the preceding 
course, then both courses will run from the same point. 
These rules are applied only when the first course is revers- 
ed. 

Example. 

Two courses are given, viz. S. 62^ W. and N. 44° W. to 
find their contained angle. Suppose yourself standing at 
the point where these courses meet. Reverse the letters of 
the first course, and they will stand thus: 

M^fowi The first rule. 
N. 44° W. ) 

The following figures were prepared for the sixth edition 
of this treatise, by Mr. Barnard.* There is nothing in the 
rules to which they are applied, different in principle from 
the preceding ones, but they do not require the first course 
to be reversed. 

* Such notes on the text as are signed Ed. were made by Mr. Barnard. 




APPENDIX. 



143 



I. If the first letters are alike, and the last also, add the 
less course to the supplement of the greater. 

II. If the first letters are alike, and the last unlike, sub- 
tract the sum of the courses from 180°. 

III. If the first letters are unlike and the last alike, add the 
courses. 

IV. If the first letters are unlike, and the last also, sub- 
tract the less course from the greater. 

"A set of figures like the following, well fixed in the mind, 
will be a great assistance to the learner." 

Rule 1st. Rule 2d. 

N. 20° E. N. 50O E. 

N. 70 E. N. 40 W. 





Rule 3rd. 
N. 25° E. 
S. 60 E. 



Rule 4th. 
N. 82° E. 
S. 25 W, 





" It will be seen that the required angle, in each case is 
A. B. C." 



144 APPENDIX. 



CONVERGING OF MERIDIANS. 

Two meridians cannot be run by the compass parallel to 
each other, for they will diverge towards the equator and 
converge towards the pole. 

The length of a degree of longitude in any parallel of 
latitude is to the length of a degree upon the equator, as the 
co-sine of that latitude is to radius. 

The following proportion will give the length of a degree 
of longitude in any parallel of latitude. 

As radius is to the length of a degree on the equator, so 
is the co-sine of the latitude, to the length of a degree on 
that latitude. This rule may be applied either to geographi- 
cal or to statute miles. 

A degree on the equator of geographical measure, is 60 
miles; that of statute measure has been estimated at 69 1-2 
miles, but this estimate is too great. 

The earth is considered a sphere, 7930 statute miles in 
diameter. By the rules contained in this book for calcula- 
ting the circumference of a circle when the diameter is 
given, the circumference of the earth will be found 24912.8 
miles. This number divided by 360 gives a quotient of 
69.2, the length of a degree upon the equator. 

First example. 

What is the length of a degree of longitude in geographi- 
cal miles in latitude 42 ? 

As radius .... 10.000000 
Is to 60 miles - - - 1.778151 

So is co-sine of latitude 42° - 9.871073 



11.649224 
10.000000 



Answer 44.59 miles. 1.649224 

Second example. 

What is the length of a degree of longitude in statute 
miles in latitude 42°? 

As radius .... 10.000000 

Is to 69.2 miles - - - 1.840106 

So is co-sine of lat. 42° - 9.871073 



APPENDIX. 145 

11.711179 

10.000000 



Answer, 51.42 miles 1.711179 

DIVERGENCE OF THE COMPASS FROM PARAL- 
LELS OF LATITUDE. 

When a meridian crosses a parallel of latitude, the angles 
on the side opposite to the equator are equal, and each con- 
tains less than 90° of course those on the other side are equal, 
and each contains more than 90°. This is demonstrated by the 
meridians and parallels on a globe. The difference between 
the first and second angles, depends on their distance from 
the equator. In 70° of latitude, the two first are less, and 
the two last are greater than they are in 10° of latitude. 

When the compass is set on a parallel of latitude, at right 
angles Avith a meridian, it is apparent that each angle con- 
tains 90°, of course the compass Avill not run on that paral- 
lel, but will diverge from it, and by continual running will 
arrive at and run on the equator. 

In 70° of latitude, the compass tends towards the equator 
faster than it does in 10°, hence it is evident that an east or 
west line, run by the compass is not straight, but is curved. 

On an extensive plain let a line be run east or west to the 
distance of some miles ; then from the terminating point, 
back on the opposite course, the compass will not return on 
its first track to the place of beginning, but will fall towards 
the equator. 

The divergence of the compass from parallels of latitude, 
cannot materially affect common land surveying, but lines 
10, 20 or 30 miles in length, when designed to be run on 
particular parallels will be affected by it, unless calculations 
are made to keep the compass on such parallels. 



QUESTIONS. 

1 . At a certain point, I took the elevation of a tower, 3° 
15', then measured toward the tower on an angle of depres- 
sion 7° 333 feet, to a level with the base of the tower, when I 
took the elevation again, 8°. Required the height of the 
tower, and the distance from the second place of observa- 
tion to the base ; also, how much higher the land was at the 
place of the first observation, than at the second. 



146 APPENDIX. 

Answer. Height - - - 99.6 feet.' 
Distance required - 708.6 feet. 
Difference in height of land 40.58 feet. 

2. Two persons made ob'servations on the altitude of a 
meteor, both being on the same side of it, and in a vertical 
plane passing through it. The distance between their sta- 
tions was 200 rods, and at one, the angle of elevation was 36° 
25', at the other 32° 50', and at the last the disk of the meteor 
subtended an angle of 5'. Required the distance from the 
last place of observation, also the height and diameter of it. 

M. Q. R. 

Answer. The distance 5 3 60 
Height, 3 70 

Diameter, 45 feet 5 1-2 inches. 

3. From the top of a steeple 165 feet high, the angle of 
depression of the nearest bank of a river is 11° 15', that of 
the opposite bank is 6° 15'. Required the width of the 
river. 

Answer, 41.13 rods. 

4. What length of cart tire will it take to band a wheel 5 
feet in diameter ? 

Answer, 15 feet, 8 1-2 inches. 

5. A gentleman laid out a garden in a circle, containing 
owe acre, one quarter, and one rod, with a gravelled walk 
on the outer side of it within the circle, which took up 
twelve rods of ground. What is the diameter of the circle, 
and what is the width of the walk ? 

Answer. The diameter 16 rods — width of the walk 4 feet. 

64 Neptune laid out 1,000 square miles of the surface of 
the sea in a circle, and sold to iEolus all that part of it 
which lies without a concentric circle of one third of the 
diameter. What is the diameter, and how much was sold ? 

Answer. The diameter 35.68 miles. 
The quantity sold 888,92 square miles. 

7* A farmer laid out an elliptical orchard, the longest di- 
ameter of which was 30 rods, and the shortest was ^ rods, 
and enclosed the same with a wall two feet thick within the 
figure. What is the quantity within the wall, and how 
much is covered by it? 



APPENDIX. 147 

A. Q. R. 

Answer. Within the wall 2 3 22 
Covered by the wall 9,3 

8. From a point in an equilateral triangle, I measured the 
distances to each corner, and found them 20.28, and 31 rods, 
Require the area and the length of the sides.* 

A. Q. R. 
Answer. The area 5 1 36 1-2 

Length of each side 45 rods. 

9. Required the dimensions of a parallelogram containing 
one acre and a half, bounded by 64 rods of fence. 

Answer, 12 by 20 rods. 

10. The area of a parallelogram is five acres one quarter 
and thirty five rods, and the diagonal is 43 rods. Required 
the length of the sides. 

Answer, 35 by 25 rods. 

11. Required the dimensions of a parallelogram contain- 
ing twenty-six acres, one quarter, and twenty -four rods, 
when the length exceeds the breadth by fifty-two rods. 

Answer, 44 by 96 rods. 

12. Required the dimensions of a parallelogram contain- 
ing 250 acres, when then the sides are in the proportion of 
7 to 3. 

Answer, 305 1-2 by 130.93 rods. 

13. John and Jonathan divided a lot of land equally as to 
value, which contained 600 acres, and which was appraised 
at $2 per acre. John's division was valued at 50 cents per 
acre more than Jonathan's. What were the contents and 
price per acre of each division.' Answer. John's division 
contained 263 acres and 12 rods, and the price per acre was 
$2.28 1-10 nearly. 

Jonathan's division contained 336 acres, 3 roods, and 28 
rods, and the price per acre was $1.78 1-10 nearly. 

14. The state of Connecticut contains a little more than 
4,828 square miles, or 3,090,000 acres, including rivers, har- 
bors, creeks, roads, &c. If this quantity is laid in a square, 
what will be the length of a side? 

♦ This may be solved geometrically. 



148 APPENDIX. 

M. Q. R. 

Answer, 69 1 75.11. 

One word of adA^ce to the young surveyor, who is com- 
ing forv/ard to be useful in his occupation, will close the 
appendix. 

In the choice of assistants to perform practical operations^ 
never call to your aid Sir Richard Rum. He frequently 
changes his name to brandy, gin, whiskey, Sfc. He is trea- 
cherous, and he causes the head to whirl, the body to real, 
and the foot to stumble. 

By his might, the strong man has fallen, and the promis- 
ing youth has been brought to an untimely grave. 

If you employ Sir Richard, your columns of latitude may 
differ too much for correct work, and your columns of de- 
parture may be still worse. You can place no confidence 
in him, and it is hoped that you will too highly respect your 
own character to be found in such company. 

Note. — Such theory as is more curious than useful, how- 
ever correct it may be, has been excluded from the appendix. 
The plainest methods have been selected. On some points, 
the Author has been more minute on account of the fact 
that many copies of this book are bought by men who do 
not expect to be surveyors, and who do not place themselves 
under instructors. 

If some repetition is to be found in this work, the learner 
will find less fault with it than the critic. 

Hebron, (Conn.) June 1835. 



LOGARITHMS 



The learner, who for the first time becomes acquainted with the wonder- 
ful properties of Logarithms, may be not a little surprised to find himself in- 
troduced to a system of numbers, so new in their nature, and which, sur- 
passing all his fomier knowledge of figures, aflford so many facilities for 
shortening the labor and lessening the difficulty of aritlimetical calculations. 

He will admire to find, that by help of these, the labor of hours, and in 
some calculations, even the labor of days, may be reduced to as many mi- 
nutes ! The invention of Logarithms was justly regarded as "a favor 
from heaven ;" because, in many departments of science, essential to the 
happiness'of man, they have saved him ages of toil. 

Although it does not come appropriately into the design of a work like 
this, to enter minutely into the history of their invention, nor the yet more 
difficult process by which they were originally constructed, yet a familiar 
explanation of their properties and uses, adapted to the apprehension and 
wants of the practical surveyor, is necessary, in order to his making a pro- 
per application of their great advantages in practice. 

Logarithms, then, we may first observe, never stand for the numbers 
themselves, of which they ai-e composed, but invariably for other numbers, 
of which they are only the representative exponents, or indices. Their 
great utility in aritlimetical operations, consists, chiefly, in this, — that addi- 
tion takes the place of multiplication, and subtraction that of division. 
That is, to multiply numbers, we have only to add their logarithms ; to di- 
vide, we have only to subtract the logarithm of the divisor from that of the 
dividend ; to raise a number to any power, we multiply its logarithm by the 
exponent of that power ; and to extract the root of any number, we merely 
divide its logarithm by the number expressing the root to be found. 

The constant number upon which the tables in common use are con- 
structed, and which is called the base of the tables, is 10 ; and every con- 
ceivable number, large or small, integral, mixed, or decimal, is considered 
as some ascertained power or root of 10. 

Indices. Numbers. Logarithms. 

101 the first power of ten is 10, whose exponent is 1. 

10- the second power of ten is 100, whose exponent is 2. 

104 the third power of ten is 1,000, whose exponent is 3. 

105 the fourth power often is 10,000, whose exponent is 4. 

106 the fifth power often is 100,000, whose exponent is 5. 
10 the sixth power often is 1,000,000, whose exponent is 6. 

Note. It may be remarked, that the first power of any number, is that number once 
repeated, or it is the number itself: The second power of any number, is the product 
of that number multiplied once by itself : The thud power of a number, is the pro- 
duct of the number multiplied twice by itself : The fourth power of a number, is the 
product multiplied three times by itself, &;c. The index denoting the power, is called, 
in common aritlunetic, the exponent of that power; and is, in otlier words, the /o>«- 
rt'ttm of the power. 

14 



160 APPENDIX. 

Logarithms, then, are the Exponents of a series of powers and roots. 

In the above series, the logarithms indicate how many cyphers belong to 
their corresponding numbers. Thus, the logarithm 1 stands for 10, or 1 
and one c)qDher ; the logaritlmi 2 stands for 100, or 1 and two cyphers ; the 
logarithms, for 1000, or 1 and three cyphers, &c. Now if we multiply 
10,000 by 100, the product will be 1,000,000, whose logarithm is 6 : but to 
obtain this, we need only add the logarithms 2 and 4, which stand opposite 
the numbers to be multiplied. On the contrary, if we divide 1,000,000 by 
100, the quotient will be 10,000, whose logarithm is 4 : but to obtain this, 
vye need only subtract 2, the logarithm of the divisor, from 6, the logaritlim 
of the dividend. 

Again, the square of 1000, that is, the product of 1000 multiplied by itself, 
is 1,000,000, whose logarithm is 6; but to obtain the square of 1000, we 
need only double its logarithm 3. On the other hand, the cube root of 
1,000,000 is 100, whose logarithm is 2 ; but this is obtained by dividing 6, 
the logarithm of the given number, by 3, the index of the root. Hence it is 
manifest, that the protracted labor of multiplying or dividing one large num- 
ber by another, the tedious evolution of roots, and the various mistakes in- 
cident to long operations, maybe ahiiost entirely obviated by the use of log- 
aritlrms. 

As the logarithm 1 is always 0, and that of 10 is but 1, the logarithms of 
all numbers bcloio 10, will be decimals ; and as the logaritlmis in the com- 
mon system iiicrease I'egularly by 1, according to the integral povvers of 10, 
it follows that the logarithms of all numbers lietween 10 and 100, will be 
more than 1, but less than 2 — that is, they will be 1 and a decimal ; the log- 
arithms of all numbers between 100 and 1000, Will be betweeii 2 and 3 — 
that is, they will be two and a decimal : and the logaritlnn of all numbers 
betwee)! 1000 and 10,000, will Ije between 3 and 4 — that is, 3 and a deci- 
mal. 

A logarithm generally consists of two parts ; a v:hole number, and a de- 
cimal. This whole number or integer is called the characteristic or index, 
of the logarithm, and is always o?ie /e.?s than the number of integral fig- 
ures in the natural number whose logaritlmi is sought. As the index of 
the logarithm is o??iiiic(i in the tables, it is important to recollect the principle, 
or rule, by which it is to bes upplied, whenever it is wanted in calculation. 
Thus, the logarithm of 8 is 0.903090. Here, the number (8) consists of but 
one figure, and the index of its logarithm, being one less, must heO. Again, 
the logarithm of 16 is 1.204120. "Here, the given number (16) consists of 
two fi^gures, and the index of its logarithim, being one less, must be 1. — 
Again, the logarithm of 640 is 2.806180. Here, the given number (640) 
consists of 3 figures, and the index of its logarithm, being one less, must be 
2, &c. The rule holds universally true, that the index of a logarithm is 
always one less, than the nuraber of integral figures in the natural numier 
whose logarithm is sought. 

The same rule hold.s in mixed numbers. The logarithm <,)f 6.40 is 
0.806180, the same as for 640 (see the last example) differing only in the in- 
dex. Here, the integral part (6) of the given number, consists of but one 
figure, and the index of hs logarithm, being one less, must be 0. And, gen- 
ei'ally, having obtained the logarithm of any number, large or small, we 
have only to change the index, agreeably to the above rule, in order to ob- 
tain the logarithm of every other nmnber, consisting of the same significant 
figures, whether they be integral, fractional, or mixed. Thus : — 
The logarithm o'f 7596 is 3.880585 

759.6 2.880.585 

75.96 1.880585 

7.596 0.880585 



.7596 —1.1 

.07596 —2.880585 

.007596 -3.880585 



APPENDIX. 151 

When the natural munber is less than 1, the index of its logarithm be- 
comes less than 0, oi- negative ; and is indicated by placing the sign — 
just before, or above it. Suppose it were required to affix the proper index 
to the logarithm of .000007596. Here, the number of cypliers on the left, 
iiicludmg the decimal point, is 6, which, being fitted with the negative 
sign, — ," becomes the proper index of the logarithm. And universally. 
The negative index is alv;aijs equal to the member of cyphers on the left, in- 
cluding the decimal point. 

Before any one can avail himself of the great advantages of logarithms 
m expediting the operations of Aritlunetic and Trigonometry, he must be- 
come so familiar with the tables, that he can readily find the logarithm ot 
any number ; and, on the other hand, the number to which any logarithm 
belongs. 



DIRECTIONS FOR TAKING LOGARITHMS AND THEIR NUMBERS FROM THE TABLE, 

Note. In the common tables, the Indices to the logarithms of the first 100 number 
are inserted. But for all other numbers, the decimal part only of the logarithms is 
given ; wliilo the index is left to be supphed, according to the principles already laid 
down. 

PROBLEM I. — Tofriid the logarithm of a number between! and 100, 

Rule. — Look for the proposed number on the left ; and against it, in the 
next colmnn, wUl be the logaritlmi with its index. 

Example. The logaritlmi of 50 is 1.698970. The logarithm of 89 is 
1.949390. 

PROBLEM II. To find the logarithm of any number between 1 and 
1000: or of any number consisting of nwt more than three significant fig- 
wres, with cyphers annexed. 

Rule. Find the given number in the left hand column of the table, and 
directly opposite, in the next column, is the decimal part of its logarithm, to 
which apply the index as already taught. 

Example. The logarithm of 140 is 2.146128. The logarithm of 781 is 
2.692651; of 358 is 2.553883 ; of 974 is 2.988559. 

The decmial part only of these logaritluns are found in the table ; the in- 
dex 2, was affixed to each, because tlie given numbers consisted, each of 
three integral figures. If there had been cyphers annexed to the significant 
figures ofthe given numbers, as 1400, 35800, &c. their logaritlmis would 
have been precisely the same, with the exception ofthe index only ; and, 
consequently, would be found in the same place in the table. Thus — 
The log. of 1400 is 3. 146128. The log. of 781000 is 5.i 

of 3.5800 4.553883. of 97400001 ' 

Here the decimal part of the logarithm is the same as before ; while the 
index has been increased as many %mits, as there are cyphers annexed, to 
the given numbers. This rule will hold good in all similar cases. 

PROBLEM III. To find the logarithm of any number consisting of 
our figures, either vnth or without cyphers annexed. 

Rule. Look for the three first figures, on the left hand, and for the 
fcurth figure, at the top of one of the columns ; the logarithm will be found 



158 APPENDIX. 

opposite the three first figures, and in the cohunn which, at the head, is 
marked with the fourth figure. 

By reference to the table, it will be seen, that each page contains ten col- 
umns of logarithms, which are severally numbered from to 9. The first 
column, alone, contains six figures ; while every other column lias only 
four figures : but it is to be always remembered that the two first figures of 
the left hand column, are common to each of the other columns, and were 
omitted only to avoid repetition. These two initial figures, therefore, are 
to be prefixed to each of the other four, since every logarithm, in our table, 
consists of six figures, besides the index. 

Example. The log. of 3657 is 3.563125 The log. of 6704 is 3.826334. 
of 5696 is 3.755570 of 8512 is 3.930032. 

In the last example, as it will frequently happen, the two initial figures 
(93) of the logarithm, are not found, in the same Ihie, with the given num- 
ber (851,) but in the next below it: — And, universally, whenever the third 
figm-e of the logarithm changes, from 9 to 10, the cypher only is retained 
in the coluinn, while the 1 is carried down to the next lower initial on the 
left. To guard against a mistake here, points have been substituted'm place 
of cyphers; and wherever these points are found, the cyphers are to be re- 
instated, and the two initials taken from the line below. To be more par- 
ticular, in the above example; on turning to page 14 of the logaritlmis, 
and against 851, the learner will find 92 for the two initial figures, which 
he must prefix to the other four figures in the first and second columns, 
but no farther. There he must stop, and, taking the two initial figures in 
the line below, against 852, carry them up to the third column, where the 
dots commence, and prefix the same to each of the remaining columns : and 
so in all similar cases. 

PROBLEM IV. — To find the logarithm of a number consisting of five 
or six figures. 

Rule. Find the logarithm oH\k first four figures of the given number, 
as taught in the last problem. Take the remaining figures and multiply 
them into the number standing opposite, in the outside column, headed D ; 
from the right of the product, reject as many figures as you multiplied by, 
and add what is left to the logarithm previously found. This smn, being 
fitted with a proper index, will be the logarithm required. 
Example. Required the logarithm of 45263. Thus — 
The logarithm of 45260 is 4.655715 

The difference D is 96, which being multiplied by 3 gives 28.8 

Logaritlrai of 45263 required. 4.655743 

Example 2, Required the logarithm of 758936. Thus — 
The logarithm of 758900 is 5.880185 

The difference D is 57, which being multiplied by 36, gives 20.52 

Logarithm of 758936 required. 6.880205 

Note. This process of finding tlie logarithms of large numbers supposes that they in- 
crease in the same ratio as their numbers, which is not strictly true, though suffi 
ciently near the truth for general practice. It may be remarked, however, that these 
ratios approach that of equality, the larger the numbers, and tlie less they differ from 
each other. 

The column marked D, contains the average mean differences of the ten 
logarithms against which they stand, and, consequently, do not always cor- 
respond exactly to each of the differences, taken separately; wherefore, 



APPENDIX. 15S 

■when great accuracy is required, it may be necessary, particularly in tlie 
first part of the table to work by 

PROBLEM Y.— To find the logarithm of a number consisting of six or 
seven figures. 

Rule. Find the logarithm of tlie first four figures, as before, and take the 
difference between this logarithm and the next greater in the table ; multi- 
ply this diiference by the remaining figures of the given number; reject, 
from the right of the product, as many figures as you multiply by, and add 
what is left to the logaritlmi before found ; this sum being fitted with a 
proper index, will be the logarithm required. 

Example. Required the logaritlmi of 4526375. 

To the first four figvires, add as many cyphers as there are other figures 
in the proposed number, then find the logarithm, which subtract from the 
next greater. Thus — 

The next greater number is 4527000 and its log. is 6.655810 
given number 4526000 " 6.655715 

diff. of numbers, 1000 diflf. of logs. 95 

multiply by the other figures of the given number 375 

for the proportional part to be added 35.625 

to the log. of the first part 6.655715 

and it gives the log. of 4526375, required. 6.655750 

PROBLEM Yl.— To find the logarithm of a fraction. 

Rule. Subtract the logarithm of the denominator from that of the nu- 
merator, or, reduce the fraction to a decimal, and take out the logarithm as 
for a whole nmnber, fitting it with a proper index. 

EIxAMPLE. Required the logarithm off or .75. 
The log. of the numerator (3) is 
of the denominator (4) is 

Log. of f or .75, Answer, —1.875061 

PROBLEM Yl\.— To find the Natural Number belonging to any loga- 
rithm. 

Rule 1. If the logarithm be found within the limits of the table ; that 
is, if its index do not exceed 3 ; then, neglecting the index, look down in the 
column of logaritlims, under 0, for the two or three first figures of your 
given logarithm, and if you exactly find all the figures of the given loga- 
rithni in that cokimn, you will have the corresponding number in the ad- 
joining column, on the left. 

Rule 2. If the logaritlmi be not found, exactly, in the column under 0, 
look through the other columns, on the right, till you find it exactly, or very 
nearly ; and in the colmnn of numbers directly against it, you will have 
the first three figures of the number sought, to vifhich join the figure at the 
top of the column, in which the logarithm was found, and you wiU have 
the number required. 

14* 



154 



APPENDIX. 



Note. When the number is found, you must point off decimals from it, or annex cy- 
phers to it, if necessary, to make it correspond with the Index of your logarithm, as 
aheady taught. 



Logarithvis. Numbers. 

3.880585 7596 

2.402089 252.4 

1.514946 32.73 

0.629919 4.265 

—1.811508 .6479 

—2.907680 .08085 

—3.962464 .009172 

When great accuracy is required, and the given logarithm is not exactly 
or very nearly, found in the table, it will be necessary to reverse the rule, 
under problem IV. or V. Thus: 

Rule 3. From the given logarithm subtract the next less, in the table ; 
annex to the difference as many cyphers as you wish the number of figures 
in the answer to exceed four. Then divide this difference by the common 
difference in the side column D, and annex the quotient to the natural num- 
ber belonging to the less logarithm, and you will have the number required. 

Example 1. Required the natural number belonging to the logarithm 
3.441049 
next less log. 3.440909 corresponding number 2760 

divideby com. D= 157)14000(quotes .89 

Number required, 2760.89 

Example 2. Required the number corresponding to the logarithm 
—3.441049. 

The operation in this example, is the same as in the first. Having found 
the corresponding number, as before, prefix the number of cyphers indicated 
by the negative index, thus, 0.00276089. 

PROBLEM VIII. — Directions for taking the logarithmic sines and tan- 
gents, and, the logarithmic co-sines and co-tangents from the table. 

Note. Logarithmic sines and tangents are the Zo^aWf/tms of the na^uraZ sines and 
tangents, whicii represent the length of the different sides of triangles. 

Rule 1. If the given angle is less than 45° ; look for the degrees at the 
top of the table, and the minutes on the left ,- then, opposite the minutes, 
and under the word SMie, at the head of the column, will be found the logarith- 
mic sine; under the word te?i^e?i^, will be found the logaritlmiic tangent, 
&c. of the angle required. Thus — 

Sine of 120 35' is 9.338176 Co-sine of 21° 40' is 9.968179 

Tangent of 38° 5' is 9.894111 Co-tangent of 9° 55' islO.757300 

Note. The first figure is the index, and the other figures are the decmial part of the 
logarithms. 

Rule 2. If the given angle is between45° and 90° ; look for the degrees 
at the bottom of the table, and for the minutes on the right ; then, opposite to 
the minutes, and over the word sine at the foot of the column, will be found 



I 



APPENDIX. 155 

the sine ; oi'^r the word tangent, will be found the tangent, &c. of the 

angle sought. Thus— 
Sineof81o20'is 9.995013 Co-sine of 89° 15' is 8.116926 

Tangent of 73° 25' is 10.526081 Co-tangent of 54° 5' is 9.859932 

Rule 3. If the given angle is between 90° and 180° ; subtract it from 

180°, and take out the tabular sine or co-sine, tangent or co-tangent, of the 

remainder. Thus — 

Sine of 99° is the sine of 81° Co-s.of 111° 55'is the co-s. of 68° 5' 

Tangent of 102° is the tang, of 78° Co-t. of 127° 8' is the co-t. of 52° 58' 

Having thus found the supplement of the angle, when it is obtuse, that is, 
when it exceeds 90°, with this supplement take out the tabular sine or co- 
sine, tangent or co-tangent, by Rule 1st or 2d. 

Rule 4. If there are seconds in the given angle ; find the tabular num- 
ber for the degrees and minutes as before ; then multiply the opposite num- 
ber in the adjoining column D, by the seconds, cut off two figures from 
the right of the product, and add what remains to the logarithm before 
found, for sines and tangents, but subtract it for co-sines and co-tangents, 
and the sum or difference will be the angle required. Thus — 

1. Required the log. sine of 28° 42' 5" 

Sine of 2S° 42' is 9.681443 

D=: 384 multiplied by 5" = 19.20 



Sineof28°42'5" Ans. 9.i 

2. Required co-tangent of 39° 17' 10" 

Co-tangent of 39° 17' is 10.087244 

D = 430 multiplied by 10 = 43.00 



Co-tangent. 39° 17' 10" Ans. 10.087201 

PROBLEM IX.— To find the logarithmic secant or co-secant of an an- 
gle. 

• Rule 1. To find the logarithmic secant of an angle: subtract the lo ga- 
rithmicco-sineof the same angle frovi 20.000000. 

Rule 2. To find the logarithmic co-secant of an angle : subtract the log- 
a.rithmic sine of the same angle from 20.000000. 

PROBLEM X. — To find the degrees and mimdes corresponding to any 
logarithm^ sine or tangent. 

Rule 1. Look in the column of the same nam'e with what you wish to 
find, for the sine or tangent which isnearest to the given one ; and if the ti- 
tle be at the head of the column, take the degrees at the top of the table, and 
the minutes on the left -, but if the title be at the foot of the colmnn, take 
the degrees at the bottom, and the minutes on the right. 

Ex-iMPLE. Find the number of degrees and minutes corresponding to 
the logarithmic sine 9.673971. 

The nearest sine in the table is 9.673977. The title of sine is at the head 
of the column in which the number is found, and the degrees at the top of the 
page are 28, and the minutes on the left are 10. The angle required, is, 
therefore, 28° 10' neglecting the small surplus fraction of 6 in the last fig- 
ure of the logarithm . 



156 



APPENDIX. 



When the given logarithmic sine or tangent is not found exactly, or veiy 
nearly, then, for the seconds, — 

Rule 2. From the given logarithm subtract the next less in the table, 
annex two cyphers to the remainder, and divide it, thus augmented, by the 
tabular difference D, and the quotient will be the number of seconds to be 
added to the degrees and minutes of the tabular logarithm, for sines and 
tangents, but which must be suUracted for co-sines and co-tangents. 

Example. Required the degrees, minutes, and seconds corresponding to 
- --•->• --.of 9.759567. 



the logarithmic sine 
Given logarithm 
Next less in the table= 

Divide by tab. diff. 

Angle required, = 



9.759567 
9.759492= 



350 5' 



300)7500(quotes= 



25" 



35° 5' 25" 



MULTIPLICATION BY LOGARITHMS. 

RiTLB. Take from the table the logarithms of all numbers to be multipli- 
plied, add them together, and their sum will be the logarithm of the product. 
Then by means of the table, take out the natural number, corresponding to 
this sum, for the product sought. 

Observe, that whatever is to be carried from the decimal part of the loga- 
rithm, is always positive, and must be added to the positive, or subtracted 
from the negative index or indices. 



EXAMPLES. 



Numbers. Logarithms. 

2. Mult, 8.25 0.916454 

by 112 2.049218 



Numbers. Logarithms. 
1. Mult. 326 2^513218 

by 85 1.929419 

Prod. 27710 4.442637 Prod. 924.00 2.96567§ 

3. Multiply the following niunbers together : 3.902, 597.16, and .0314728. 

Numbers. Logarithms. 

3.902 0.591287 

597.160 2.776091 

.0314728 2.497935 



PkxI. 73.3333 1.865313 
Here, the 2 cancels the 2, and the 1 to carry, from the decimal part of the 
logarithms is set down. 

4. Multiply 3.586, and 2.1046, and 0.8372, and 0.0294 all together. 

Numbers. Logarithms. 

3.586 0.554610 

2.1046 0.323170 

0.8372 1.922829 

0.0294 2.468347 



Pto. 0.105762 1.; 

Here the 2 to carry cancels the 2, and there remains the I to set down, 
for the index of the product. 



APPENDIX. 157 

In practice, however, it is usual to make all the indices positive. This is 
done by addine; 10 to each negative index; observing, to reject an equal 
number from the final result. 
Thus, for negative — 1 we may put down positive 9. 
for negative — 2, we may put down positive 8. 
for negative — 3, we may put down positive 7, &c. 
Because, minus 1, plus 10, equals 9, 
minus 2, plus 10, equals 8. 
minus 3, plus 10, equals 7, &c. 
5. Repeating the third example we have 

Numbers. Logarithms. Logarithms. 

3.902 0.591287= 0.591287 

597.160 2.776091 = 2.776091 

.0314728 2.497935 or 8.497935 



Prod. 73.3333 1.865313 1.865313 

Here the sum of the indices is 11 : from which reject 10, and the result is 
the same as before. 



COMPOUND INTEREST BY LOGARITHMS. 

Rule. Find the amount of 1 dollar for 1 year ; multiply its logarithm 
by the number of years ; and to the product, add the logarithm of the prin- 
cipal. The sum will be the logarithm of the amov.nt for the given time. 

From the amount subtract the principal, and the remainder will be the in- 
terest. 

Example. The last example in Daboll's arithmetic, under Compound In- 
terest, is as follows : — " What will 50 dollars amount to in 20 years at 6 
per cent." 

This question wrought out in the most expeditious manner by common 
arithmetic, would take the student scarcely less than three hours, and the 
final result would be, if done cori-ectly, 

S160.3567736106422365941496492288974572748800. 

But, by logaritluns, this sum may be done in as many minutes, and tlie 

correct answer, in dollars and cents, obtained with veiy few figures. Thus : 

Amount of 1 dollar for 1 year is 1.06 logaritlmi 0.0253059 

Multiply by the time 20 



0.5061180 
Add log. of principal 50 1.6989700 



Amount as above=$160.35,7 2.2050880 

From the foregoing general principles of the nature and application of 
logaritlihis, are derived an infinite nmiiber of specific rules, adapted to par- 
ticular cases. 



OP THE TABLE OF NATURAL SINES AND TANGENTS. 

To those who are unacquainted with logarithms, it will be interesting to 
know, that all the cases in i-ight and oblique angled trigonometry, contained 
in this work, or which are necessary in rectangulai- surveying, may by the 



158 APPENDIX. 

help o( natural sines and tangents, be solved exactly in the same way, and 
with the same facility as he would solve a simple qiKstion in the Rule of 
"Three. Natural sines are merely decimals, bearing the same proportion to 
unity, or 1, that the corresponding n\imber of degrees and minutes bears 
to rfidius, or 90°. Natural tangents bear the same proportion to unity or 1, 
that the corresponding number of degrees and minutes bears to 45°, because 
ii is a well known principle, that the sine of 90° and the tangent of 45° £ire 
each equal to radius. That is, 1 is assumed as the natural sine of 90® in the 
table of natural sines, and as the tangent of 45° in the table of tangents, and 
every other number in each of these tables is calculated accordingly. 

Gexeral Rule. 1. State the question in every case, as already taught- 
tL Multiply the second and third terms together, and divide their product by 
the first. 

The manner of taking natural sines OMd tangents from the tables, is the 
same as for logarithmic sines and tangents ; only that there is in the tables, 
no column of differences as in the latter, for the more readily finding the odd 
sseconds, when required. But these may be found by making a proportion 
for the aliquot parts. 

There are some problems to which natural tangents afford a much more 
jsimple and ready solution, than any process by logarithms. The follow- 
ing one, in heights and distances, will illustrate this. 

Example. The altitude of an inaccessible object taken at an unknown 
distance from its base, is' 55° 54' ; and when taken again at the distance 
of 9.3 feet from the place of the first observation in a direct line with it, the al- 
titude is 33° 20': Required the height of the object. 

Rule. Divide the difference of the natural co-tangents of the angles of 
elevation, by the distance between the stations. Thus — 

Co-tangent of 33° 20' is 1.52043 
of55°54'is .67705 

feet. 

Divide by the diff. = .84338)93.0000(110.27 Ans. 

WcxTE. This is tiie shortest solution possible, and perfectly easy. 

Again : Given the latitude and departure, in transverse sailing or sur- 
veying, to find the course. 

RcLE. Divide the departure by the latitude, the quotient will be the nat- 
ttral tangent of the course: or divide the latitude by the departure, and the 
quotient will be the co-tangent of the course. U?iiversally, Ii in any right 
angled triangle, the perpendicular be divided by the base, the quotient will 
be tiie tangent of the angle at the base; and if the base be divided by the 
perpendicular, the quotient will be the tangent of the angle at tlie vertex of 
fhe perpendicular. 



olp the traverse table, or table op latitude and depaetcbb. 

This is calculated for degrees and quarters of degrees, and for any dis- 
tance up to 100 rods, chains, &c. ; by which the northings and southings, 
eastings and westings made in a survey, may be found. 



APPENDIX. 159 

PROBLEM XII.— r<? find the latitude and departure, o-r northing, tf^. 
for any cowrse and distance. 

If the com-se be less than 45°, look for it at the top, but if more than 45°, 
at the bottom of the page, and look for the distance in the right or left hand 
column ; against the distance, and directly under or over the course, stand 
the northing, &c. in whole numbers and decimals. 

If the course be less than 45°, the nortliing or soutliing will be greater 
than the easting or westing ; but if more than 45°, the easting or westing 
will be the greatest. 

When the distance exceeds 100, take any two or more numbers, which, 
added together, will equal the distance, and find the latitude and departure 
for each of these numbers ; add the several latitudes together, and the sum 
will be the whole latitude ; and so for the departure. And when the disK 
tance is in chains and links, or whole numbers and decimals, find the lati- 
tude, &c. tor the chains or whole munbers, and then for the links and deci- 
mals, remembering to remove the decimal point in the table further to tlie 
left, according to the given decimal. 

1. Requii-ed the latitude and departure for 45 rods, on a course N. 15° 15' 

Under 15° 15' and against 45 is 43.42 for the northing, and 11.84 for the 
westing. 

2. Required the latitude and departure for 120 rods, on a course S. .58" 
30' E. 

Take one third of 120, which is 40 ; against this nimiber, over 58° 30', is 
20.90 for the latitude, and 34.11 for the departure. These multiplied by 3 
give 62.70 for the southing, and 102.33 for the easting. 

3. Required the latitude and departure for 37.36 rods, or 37 chains and 
38 links, on a course N. 26° 45' E. 

For 37. Lat. 33.04 Dep. 16.65 

0.36 ,32 .16 

37.36 33.36 16.81 

Northing 33.36, Easting 16.81. 

Note. When the minutes are not 15, 30, or 45, the northings, &c. may be had by pro- 
portion, or they may be calculated by natural sines, or by trigonometry. 

PROBLEM XIII.— To calculate the Northing ar Southing, ^c. for 
any course and distance, by natural sines. 

Find the nat. sine and co-sine of the course, and into each of these muhi- 
ply the distance ; the products will be the latitude and departure required. 

Required the latitude atd departure for 6 cliains and 22 links on a course 
N. 38° 27', W. 

Nat sine of 38° 27', 0.62183 Nat co-sine, 0.78315 

6.23 6.22 



124366 156630 

124366 156630 

373098 



3.8677826 4.8711930 

Answer. Northing, 4.87 Westing, 3.87 



160 



APPENDIX. 



USEFUL NUMBERS AND THEIR LOGARITHMS. 



Circumference of a circle to diameter, 
Area of a circle to radius, 
Surface of a sphere to diameter, 
Circumference of a circle to radius. 
Solid contents of a sphere to diameter. 
Solid contents of a sphere to radius, 
Square of 3.14159265359 

Square root of 3.14159265359 

1-360 of 3.14159264359 

1-24 of 3.14159265359 

1-4 of do. or area of cir. to diam. 1 

365th root ofSl-05, or amount of ^1. for 1 day, 
365th root of !§1.06, or amount of §1. for 1 day. 
12th root of S105, or amount of SI- for 1 mo. 
12th root of §1.06, or amount of $1. for 1 mo. 
360 degrees expressed in seconds, 
Arc, equal to radius, in degrees, 
in minutes, 
in seconds, 
Leiigth of an arc of l"=sine of 1" 
■ of 2"=sine of 2" 
of 3"=sine of 3" 
of 1'— sine of 1' 
of 10 
Sine of P 

Mile, reduced to rods, 
vards, 
feet, 
inches, 
Square mile, in acres, 

square rods, 
square yards, 
square feet, 
square inches, 
Equatorial diameter of the earth, in miles, 
in rods, 
in yards, 
in feet, 
in inches, 
Circumference of the Equator, in miles, 
in feet, 
in inches, 
Radius of Earth's orbit, in miles, 
Sun's horizontal parallax. 
Log. sine— tangent of 8",5776 



Numbers. 


Logarithms. 


3.14159265359 


0.4971499 


6.2831853071S 


0.7980799 


0.52359877560 


—1.8950899 


4.18879020479 


0.6220886 


9.86960440109 


0.9942997 


1.77245385091 


0.2485750 


0.00872664626 


—3.9408474 


0.13089969390 


—1.1169387 


0.78539816340 


—1.8950899 


1.00013368072 


0.00005805 


1.00015965359 


0.00006933 


1.00407412 


0.00176577 


1.0048675505 


0.0021088Q 


1296000 


6.1126050 


57.295780 


1.7581226 


3437.74677 


3.5362739 


206264.8 


5.3144251 


0.000004848 


—6.6855749 


0.000009696 


-6.9866049 


0.000014.544 


—5.1626961 


0.000290888 


-4.4637261 


0.017453293 


— 2.2418T74 


0.017452406 


-2.2418553 


320 


2.5051500 


1760 


3.2455127 


5280 


3.7226340 


63360 


4.8018152 


640 


2.8061800 


102400 


5.0103000 


3C97600 


6.4910254 


27178400 


7.4452679 


4014489600 


96036304 


7924 


3.8989445 


2535680 


6.4040945 


13946240 


7.1444572 


41838720 


7.621.5785 


502064640 


8.7007597 


24893.98 


4.3960944 


131440217 

■t c:nnctortcr.o 


8.1187283 



1577282608 
95273869 
8".57760 



9.1979095 
7.9789738 
0.9333658 
5.6189407 



A TABLE 



tOGA'T^-ITHMS OF NUMBERS 



FROM 1 TO 10,000. 



N. 


Los. 


N. 


Log. 


N. 


Log. 


N. 


Log. 


1 


0.000000 


26 


1.414973 


51 


1 . 707570 


76 


1.880814 


2 


0.301030 


27 


1.431364 


52 


1.716003 


77 


1.886491 


3 


0.477121 


28 


1.447158 


53 


1 . 724276 


78 


1.892095 


4 


0.602060 


29 


1.462398 


54 


1.732394 


79 


1.897627 


5 


0.698970 


30 


1.477121 


55 


1.740363 


80 


1.903090 


6 


0.778151 


31 


1.491362 


56 


1.748188 


81 


1.908485 


7 


0.845098 


32 


1.505150 


57 


1.755875 


82 


1.913814 


8 


0.903090 


33 


1.518514 


58 


1.763428 


83 


1.919078 


9 


. 954243 


34 


1.531479 


59 


1.770852 


84 


1.924279 


10 

li 


1.000000 
1.041393 


35 
36 


1.544068 
1.556303 


60 
61 


1.778151 
1.785330 


85 
86 


1.929419 


1.934498 


12 


1.079181 


37 


1.568202 


63 


1.792392 


87 


1.939519 


13 


1.113943 


38 


1.579784 


63 


1.799341 


88 


1.944483 


14 


1.146128 


39 


1.591065 


64 


1.806180 


89 


1.949390. 


15 


1.176091 


40 


1.602060 


65 


1.812913 


90 


1.954243' 


16 


1.204120 


41 


1.612784 


6fi 


1.819544 


91 


1.959041 


17 


1.230449 


42 


1.623249 


67 


1.826075 


92 


1.963788 


18 


1.255273 


43 


1,633468 


68 


1.832509 


93 


1.968483 


19 


1.278754 


44 


1.643453 


69 


1.8.38849 


94 


1.973128 


20 
21 


1.301030 
1.322219 


45 
46 


1.653213 
1.662758 


70 

71 


1.845098 
1.851258 


95 
96 


1.977724 


1.982271 


22 


1.342423 


47 


1.672098 


72 


1.857333 


97 


1.986772 


23 


1.361728 


48 


1.681241 


73 


1.863323 


98 


1.991226 


24 


1.380211 


49 


1.690196 


74 


1.869232 


99 


1.995635 


2b 


1.397940 


50 


1.698970 


75 


1.875061 


100 


2.000000 



N.B. In the following table, in the last nine columns of each 
page, where the first or leading figures change from 9's to O's, 
points or dots are introduced instead of the O's through the rest 
of the line, to catch the eye, and to indicate that from thence 
the annexed first two figures of the Logarithm in the second 
column stand in the next lower line. 



A TABLE OP LOGARITHMS FROM 1 TO 10,000. 



N. 1 t 1 1 2 1 3 i 4 i 5 i 6 1 7 1 8 1 9 1 D. 1 


100 


000000 04341 


0868 


1301 1734,21661 


2598 30291 


3461 


3891 432 1 


101 


4321 


4751 


5181 


5609 


6038 


6466 


6894 


7321 


7748 


8174 


428 


102 


8600 


9026 


9451 


9876 


.300 


.724 


1147 


1570 


1993 


2415 


424 


103 


012837 


3259 


3680 


4100 


4521 


4940 


5360 


5779 


6197 


6616 


419 


104 


7033 


7451 


7868 


8284 


8700 


9116 


9532 


9947 


.361 


.775 


416 


105 


021189 


1603 


2016 


2428 


2841 


3252 


3664 


4075 


4486 


4896 


412 


106 


5306 


5715 


6125 


6533 


6942 


7350 


7757 


8164 


8571 


8978 


408 


107 


9384 


9789 


.195 


.600 


1004 


1408 


1812 


2216 


2619 


3021 


404 


108 


033424 


3826 


4227 


4628 


5029 


5430 


5830 


6230" 


6629 


7028 


400 


109 
110 


7426 


7825 
1787 


8223 
2182 


8620 
2576 


9017 
2969 


9414 
3362 


9811 
3755 


.207 
4148 


.602 
4540" 


,998 
4932 


396 
393 


041393 


111 


5323 


5714 


6105 


6495 


6885 


7275 


7664 


8053 


8442 


8830 


389 


112 


9218 


9606 


9993 


.380 


.766 


11.53 


1538 


1924 


2309 


2694 


386 


113 


053078 


3463 


3846 


4230 


4613 


4996 


5378 


5760 


6142 


6524 


382 


114 


6905 


7286 


7666 


8046 


8426 


8805 


9185 


9563 


9942 


.320 


379 


115 


060698 


1075 


1452 


1829 


2206 


2582 


2958 


3333 


3709 


4083 


376 


116 


4458 


4832 


5206 


5580 


5953 


6326 


6699 


7071 


7443 


7815 


372 


117 


8186 


8557 


8928 


9298 


9668 


..38 


.407 


.776 


1145 


1514 


369 


118 


071882 


2250 


2617 


2985 


3352 


3718 


4085 


4451 


4816 


5182 


366 


119 
120 


5547 


5912 
9543 


6276 
9904 


6640 
.266 


7004 
.626 


7368 
.987 


7731 
1347 


8094 
1707 


8457 


8819 
2426 


363 
360 


079181 


2067 


121 


082785 


3144 


3503 


3861 


4219 


4576 


4934 


5291 


5647 


6004 


357 


122 


6360 


6716 


7071 


7426 


7781 


8136 


8490 


8845 


9198 


9552 


355 


123 


9905 


.258 


.611 


.963 


1315 


1667 


2018 


2370 


2721 


3071 


351 


124 


093422 


3772 


4122 


4471 


4820 


5169 


5518 


5866 


6215 


6562 


349 


125 


6910 


7257 


7604 


7951 


8298 


8644 


8990 


9335 


9681 


..26 


346 


126 


100371 


0715 


1059 


1403 


1747 


2091 


2434 


2777 


3119 


3462 


343 


127 


3804 


4146 


4487 


4828 


5169 


5510 


5851 


6191 


6531 


6871 


340 


128 


7210 


7549 


7888 


8227 


8565 


8903 


9241 


9579 


9916 


.253 


338 


129 
130 


110590 


0926 

4277 


1263 
4611 


1599 
4944 


1934 

5278 


2270 


2605 
5943 


2940 
6276 


3275 
6608 


3609 
6940 


335 
333 


113943 


5611 


131 


7271 


7603 


7934 


8265 


8595 


8926 


9256 


9586 


9915 


.245 


330 


132 


120574 


0903 


1231 


1560 


1888 


2216 


2544 


2871 


3198 


3525 


328 


133 


3852 


4178 


4504 


4830 


5156 


5481 


5806 


6131 


6456 


6781 


325 


134 


7105 


7429 


7753 


8076 


8399 


8722 


9045 


9368 


9690 


..12 


323 


135 


130334 


0655 


0977 


1298 


1619 


1939 


2260 


2580 


2900 


3219 


321 


136 


3539 


3858 


4177 


4496 


4814 


5133 


5451 


5769 


6086 


6403 


318 


137 


6721 


7037 


7354 


7671 


7987 


8303 


8618 


8934 


9249 


9564 


315 


138 


9879 


.194 


.508 


.822 


1136 


1450 


1763 


2076 


2389 


2702 


314 


139 
140 


143015 


3327 


3639 

6748 


3951 

7058 


4263 
7367 


4574 
7676 


4885 
7985 


5196 

8294 


5507 
8603 


5818 
8911 


311 
309 


146128 


6438 


141 


9219 


9527 


9835 


.142 


.449 


.756 


1063 


1370 


1676 


1982 


307 


142 


152288 


2594 


2900 


3205 


3510 


3815 


4120 


4424 


4728 


5032 


305 


143 


5336 


5640 


5943 


6246 


6549 


6852 


7154 


7457 


7759 


8061 


303 


144 


8362 


8664 


8955 


9266 


9567 


9868 


.168 


.469 


.769 


1068 


301 


145 


161368 


1667 


1967 


2266 


2564 


2863 


3161 


3460 


3758 


4055 


299 


146 


4353 


4650 


4947 


5244 


5541 


5838 


6134 


6430 


6726 


7022 


297 


147 


7317 


7613 


7908 


8203 


8497 


8792 


9086 


9.380 


9674 


9968 


295 


148 


170262 


0555 


0848 


1141 


1434 


1726 


2019 


2311 


2603 


2895 


293 


149 
150 


3186 


3478 
6381 


3769 
6670 


4060 
6958 


4351 


4641 
7536 


4932 


5222 


5512 


5802 
8689 


291 

289 


176091 


7248 


782f 


8113 


8401 


151 


8977 


9264 


9552 


983S 


.126 


.413 


.69S 


.985 


1272 


1558 


287 


152 


181844 


2129 


24 If 


270C 


2985 


327(] 


355£ 


3839 


412S 


4407 


285 


153 


4691 


4975 


525*] 


554S 


5825 


610S 


6391 


6674 


695€ 


723S 


283 


154 


7521 


780? 


8084 


8366 


8647 


892£ 


920C 


949C 


9771 


..51 


281 


155 


190332 


061S 


089S 


1171 


1451 


173C 


201( 


) 2289 256' 


f 284£ 


279 


156 


3125 


340;. 


3681 


39591 4237 


4514 


- 4792] 5069 534f 


562C 


278 


167 


589S 


617f 


6453! 67291 700£ 


728] 


7556 7832 810^ 


1 83821,276 


158 1 8657 


893S 


9206 9481 975.'= 


..2c 


.303 .577 .85 


) 1124 274 


159 ' 20139'- 


16701 1943' 22161 2485 


276 


3033 3305 357 


?! 38481272 


N. 1 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 ! 9 1 D. 1 



A TABLE OF LOGAKITHMS FKOM 1 TO 10,000. 



N. 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 ! D. 1 


180 


204120 


4391 


4663 


4934 


5204 


5475 


5746 


6016 


6286 65561 


271 


Ifil 


6826 


7096 


7365 


7634 


7904 


8173 


8441 


8710 


8979 


9247 


269 


Ifi-?, 


9515 


9783 


..51 


.319 


.586 


.853 


1121 


1388 


16,54 


1921 


267 


163 


212188 


2454 


2720 


2986/ 


3252 


3518 


3783 


4049 


4314 


4579 


266 


1G4 


4844 


5109 


5373 


5638 


5902 


6166 


6430 


6694 


69.57 


7221 


264 


165 


7484 


7747 


8010 


8273 


8536 


8798 


9060 


9323 


9585 


9846 


262 


166 


220108 


0370 


0631 


0892 


1153 


1414 


1675 


1936 


2196 


2456 


261 


167 


2716 


2976 


3236 


3496 


3755 


4015 


4274 


4533 


4792 


.5051 


259 


168 


5309 


5568 


5826 


6084 


6342 


6600 


6858 


7115 


7372 


763(] 


258 


169 
170 


7887 


8144 


8400 
0960 


8657 
1215 


8913 
1470 


9170 
1724 


9426 


9682 
2234 


9938 

2488 


.193 

2742 


256 

254 


230449 


0704 


1979 


171 


2996 


3250 


3504 


3757 


4011 


4264 


4517 


4770 


5023 


,5276 


253 


172 


5528 


5781 


6033 


6285 


6537 


6789 


7041 


7292 


7.544 


7795 


252 


173 


8046 


8297 


8548 


8799 


9049 


9299 


95,50 


9800 


...50 


.300 


250 


174 


240549 


0799 


1048 


1297 


1546 


1795 


2044 


2293 


2541 


2790 


249 


175 


3038 


3286 


3534 


3782 


4030 


4277 


4525 


4772 


,5019 


.52(>6 


248 


176 


5513 


5759 


6006 


6252 


6499 


6745 


6991 


7237 


7482 


7728 


246 


177 


7973 


8219 


8464 


8709 


8954 


9198 


9443 


9687 


9932 


.176 


245 


178 


250420 


0664 


0908 


1151 


1395 


1638 


1881 


2125 


2368 


2610 


243 


179 
180 


2853 


3096 


3338 
5755 


3580 


3822 
6237 


4064 
6477 


4306 
6718 


4548 
6958 


4790 


5031 
7439 


242 
241 


255273 


5514 


5996 


7!98 


181 


7679 


7918 


8158 


8398 


8637 


8877 


9116 


9355 


9594 


9833 


239 


182 


260971 


0310 


0548 


0787 


1025 


1263 


1,501 


1739 


1976 


2214 


2,38 


183 


2451 


2688 


2925 


3162 


3399 


3636 


3873 


4109 


4346 


4582 


237 


184 


4818 


5054 


5290 


5525 


5761 


,5996 


6232 


6467 


6702 


6937 


235 


185 


7172 


7406 


7641 


7875 


8110 


8344 


8578 


8812 


9046 


9279 


234 


186 


9513 


9746 


9980 


.213 


.446 


.679 


.912 


1144 


1377 


1609 


233 


187 


271842 


2074 


2306 


2538 


2770 


3001 


8233 


3464 


3696 


3927 


232 


188 


4158 


4389 


4620 


4850 


.5081 


5311 


5542 


5772 


6002 


6232 


230 


189 
190 


6462 


6692 

8982 


6921 
9211 


7151 
9439 


7380 
9667 


7609 
9895 


7838 
.123 


8067 
.351 


8296 

.,578 


8525 
.806 


229 

22ft 


278754 


191 


281033 


1261 


1488 


1715 


1942 


2169 


2396 


2622 


2849 


3075 


227 


192 


3301 


3527 


3753 


3979 


4205 


4431 


4656 


4882 


5107 


5332 


226 


193 


5557 


5782 


6007 


6232 


6456 


6681 


6905 


7130 


7354 


7578 


225 


194 


7802 


802b 


824W 


8473 


8696 


8920' 


9143 


9366 


9589 


9H]9, 


223 


195 


290035 


0257 


043C 


0702 


0925 


1147 


1369 


1,591 


1813 


2034 


222 


196 


2256 


2478 


269S 


2920 


3141 


3363 


3584 


3804 


4025 


4246 


221 


197 


4466 


4687 


4907 


5127 


5347 


,5.567 


5787 


6007 


6226 


64'1-6 


220 


198 


6665 


6884 


7104 


7323 


7542 


7761 


7979 


8198 


8416 


8635 


219 


199 
200 


8853 


9071 


9289 
1464 


9507 
1681 


9725 
1898 


9943 


.161 


.378 


.,595 

2764 


.813 
2980 


218 
217 


301030 


1247 


2114 


2331 


2547 


201 


3196 


3412 


3628 


3844 


4059 


4275 


4491 


4-706 


4921 


5136 


216 


202 


5351 


5566 


5781 


.5996 


6211 


6425 


6639 


6854 


7068 


7282 


215 


203 


7496 


7710 


7924 


8137 


8351 


8564 


8778 


8991 


9204 


9417 


213 


204 


9630 


9843 


..5b 


.26^ 


.481 


.693 


.906 


1118 


1330 


1.542 


212 


205 


311754 


1966 


2177 


238^ 


2600 


2812 


302? 


3234 


3445 


3656 


211 


206 


3867 


4078 


428t 


449f 


4710 


4920 


51.30 


5340 


5551 


5760 


210 


207 


5970 


6180 


6390 


659t 


6809 


7018 


7227 


7436 


7646 


78.54 


209 


208 


806S 


8272 


8481 


868^ 


889H 


9106 


9314 


9522 


9730 


9938 


208 


209 

210 


320146 


0354 
2426 


0562 
2633 


0769 
2839 


0977 
3046 


1184 


1391 
3458 


1598 
3665 


1805 
3871 


2012 
4077 


207 
206 


322219 


3252 


211 


4282 


448h 


469^ 


4891 


5105 


,5310 


,5516 


5721 


5926 


6131 


205 


212 


6336 


6541 


6745 


695( 


7155 


7359 


7563 


7767 


7972 


8176 


204 


213 


8380 


858^ 


8787 


8991 


9194 


9398 


9601 


9805 


...8 


.211 


203 


.. 214 


330414 


0617 


081 < 


1022 


1225 


1427 


163C 


1832 


2034 


2236 


202 


- 215 


2438 


2640 


2842 


3044 


3248 


3447 


3649 


3850 


4051 


4253 


202 


216 


4454 


4655 


485fc 


50571 5257 


5458 


56,58 


5859 


6059 


6260 


201 


217 


646C 


666(1 


686C 


7060 726C 


7459 


76,59 


7858 


80.58 


8257 


200 


218 


845€ 


865t 


88551 90541 925S 


9451 


965( 


9849 


..47 


,246 


199 


219 


3404441 0642' 0841' l039i 12371 1435' 16321 I830l 2028' 2225' 198 1 


Jn. 1 |l|2|3|4t5l6l7r8|9iD. i 



A TABLE OF LOGAKITHMS FKOM 1 TO 10,000. 



N. 


I'O |lf2|3|4|5|6|7|8|9|D. 




m 


342423, 2620 


2817| 3014, 3212, 3409, 3606; 3802 


3999 4196 


197 




221 


4392 


4589 


4785 


4981 


5178 


5374 


5570 


5766 


5962 6157 


196 




^32 


6353 


6549 


6744 


6939 


7135 


7330 


7525 


7720 


7915 8110 


195 




223 


8305 


8500 


8694 


8889 


9083 


9278 


9472 


9666 


986C 


..54 


194 




224 


350248 


0442 


0636 


0829 


1023 


1216 


1410 


1603 


179fi 


1989 


193 




225 


2183 


2375 


2568 


2761 


2954 


3147 


3339 


3532 


3724 


3916 


193 




22© 


4108 


4301 


4493 


4685 


4876 


5068 


5260 


5452 


5643 


5&34 


192 




227 


6026 


6217 


6408 


6599 


6790 


6981 


7172 


7363 


7554 


7744 


191 




228 


7935 


8125 


8316 


8506 


8696 


8886 


9076 


9266 


9456 


9646 


190 




229 
230 


9835 


,.25 
1917 


.215 
2105 


.404 
2294 


.593 

2482 


.783 
2671 


.972 
2859 


1161 
3048 


1350 
3236 


1539 
3424 


189 
188 




361728 




231 


3612 


3800 


3988 


4176 


4363 


4551 


4739 


4926 


5113 


5301 


188 




232 


5488 


5675 


5862 


6049 


6236 


6423 


6610 


6796 


6983 


7169 


187 




233 


7356 


7542 


7729 


7915 


8101 


8287 


8473 


8659 


8845 


9030 


186 




234 


9216 


9401 


9587 


9772 


9958 


.143 


.328 


.513 


.698 


.883 


185 




235 


371068 1253 


1437 


1622 


1806 


1991 


2175 


2360 


2544 


2728 


184 




236 


2912 


3096 


3280 


3464 


3647 


3831 


4015 


4198 


4382 


4565 


184 




237 


4748 


4932 


5115 


5298 


5481 


5664 


5846 


6029 


6212 


6394 


183 




238 


6577 


6759 


6942 


7124 


7306 


7488 


7670 


7852 


80.34 


8216 


182 




239 

240 


8398 


8580 


8761 


8943 
0754 


9124 
0934 


9306 
1115 


9487 
1296 


9668 
1476 


9849 
1656 


..30 
1837 


181 
I81 




380211 


0392 


0573 




241 


2017 


2197 


2377 


2557 


2737 


2917 


3097 


3277 


3456 


3636 


180 




242 


3815 


3995 


4174 


4353 


4533 


4712 


4891 


5070 


5249 


5428 


179 




243 


5606 


5785 


5964 


6142 


6321 


6499 


6677 


6856 


7034 


7212 


178 




244 


7390 


7568 


7746 


7923 


8101 


8279 


8456 


8634 


8811 


8989 


178 




245 


9166 


9343 


9520 


9698 


9875 


..51 


.228 


.405 


.582 


.759 


177 




246 


390935 


1112 


1288 


1464 


1641 


1817 


1993 


2169 


2345 


2.521 


176 




247 


2697 


2873 


3048 


3224 


3400 


3575 


3751 


3926 


4101 


4277 


176 




248 


4452 


4627 


4802 


4977 


5152 


5326 


5,501 


5676 


58,50 


6025 


175 




249 
250 


6199 


6374 
8114 


6548 

8287 


6722 
8461 


6896 
8634 


7071 
8808 


7245 
89.81 


7419 
9154 


7592 
9328 


7766 
9501 


174 
173 




397940 




251 


9674 


9847 


..20 


.192 


.365 


.538 


.711 


.883 


1056 


1228 


173 




252 


401401 


1573 


1745 


1917 


2089 


2261 


2433 


2605 


2777 


2949 


172 




253 


3121 


3292 


3464 


3635 


3807 


3978 


414S 


4320 


4492 


4663 


171 




254 


4834 


5005 


5176 


5346 


55.7 


5688 


.'i858 


6029 


6199 


6370 


171 




255 


6540 


6710 


6881 


7051 


7221 


7391 


7561 


7731 


7901 


8070 


170 




256 


8240 


8410 


8579 


8749 


8918 


9087 


9257 


9426 


9595 


9764 


169 




257 


9933 


.102 


.271 


.440 


.609 


.777 


.946 


1114 


1283 


1451 


169 




258 


411620 


1788 


1956 


2124 


2293 


2461 


2629 


2796 


2964 


3132 


168- 




259 
260 


3300 


3467 
5140 


3635 
5307 


3803 

5474 


3970 
5641 


4137 

5808 


4305 
5974 


4472 
6141 


4639 
6308 


4806 


167 
167 




414973 


6474 




261 


6641 


6807 


6973 


7139 


7306 


7472 


7638 


7804 


7970 


8135 


166^ 




262 


8301 


8467 


8633 


8798 


8964 


9129 


9295 


9460' 


9625 


9791 


165: 




263 


9956 


.121 


.286 


.451 


.616 


.781 


.945 


1110 


1275 


1439 


165 




264 


421604 


1768 


1933 


2097 


2261 


2426 


2590 


2754 


2918 


3082 


164 




265 


3246 


3410 


3574 


3737 


3901 


4065 


4228 


4392 


4555 


4718 


164 




366 


48,82 


5045 


5208 


5371 


5534 


5697 


5860 


6023 


6186 


6349 


163 




267 


6511 


6674 


6836 


6999 


7161 


7324 


7486 


7648 


7811 


7973 


162 




268 


8135 


8297 


8459 


8621 


8783 


8944 


9106 


9268 


9429 


9591 


162 




269 
270 


9752 


9914 
1525 


..75 
1685 


.236 


.398 


.559 


.720 

2328 


.881 
2488 


1042 
2649 


1203 

2809 


16L 
16li 




431364 


1846 


2007 


2167 




271 


2969 


3130 


3290 


3450 


3610 


3770 


3930 


4090 


4249 


4409 


160 




272 


4569 


4729, 


4888 


5048 


5207 


5367 


5526 


5685 


5844 


6004 


159i 




273 


6163 


6322 


6481 


6640 


6798 


6957 


7116 


7275 


7433 


7592 


159: 




274 


7751 


7909 


8067 


8226 


8384 


8542 


8701 


8859 


9017 


9175 


158; 




275 


9333 


949J 


9648 


9806 


9964 


.122 


.279 


.437 


.594 


.752 


158' 




276 


440909 


1066 


1224 


1381 


1538 


1695 


1852 


2009 


2166 


2323 157 




277 


2480 


?637 


2793 


2950 3106 


3263 


3419 


3576 


3732 


3889 157 




278 


4045 


4201 


4357 


4513 4669 


4825 


4981 


5137 


5293 


5449 156 




279 


5604 


5760 


5915 


6071 6226 


6382 


6537 


6692 68481 7003' 1551 




|n._ 


|l|2|3|4|5|6|7|8|9|D. 1 





A TABLE OF LOGAKITHMS PROM 1 TO 10,000. 



a 


N. 


ll|2l3|4|5|6l7!8|9|D. 1 


■ 


280 


447158 73131 


7468 


7623 


7778 


7933 


8088 


8242 


8397 8552: 155 1 




281 


a706 88611 


9015 


9170 


9324 


9478 


9633 


9787 


9941 


..95 


154 




282 


450249 


0403 


0557 


0711 


0865 


1018 


1172 


1326 


1479 


1633 


154 




283 


1786 


1940 


2093 


2247 


2400 


2553 


2706 


2859 


3012 


3165 


153 




284 


3318 


3471 


3624 


3777 


3930 


4082 


4235 


4387 


4540 


4692 


153 ■ 




285 


4845 


4997 


5150 


5302 


5454 


5606 


5758 


5910 


6062 


6214 


152 




286 


6366 


6518 


6670 


6821 


6973 


7125 


7276 


7428 


7579 


7731 


152 




287 


7882 


8033 


8184 


8336 


8487 


8638 


8789 


8940 


9091 


9242 


151 




288 


9392 


9543 


9694 


9845 


9995 


.146 


.296 


.447 


.597 


.748 


151 




289 


460898 


1048 


1198 


1348 


1499 


1649 


1799 


1948. 


2098 


2248 


150 




290 


462398 


2548 


2697 


2847 


2997 


3146 


3296 


3445 


3594 


3744 


150 




291 


3893 


4042 


4191 


4340 


4490 


4639 


4788 


4936 


5085 


5234 


149 




292 


5383 


5532 


5680 


5829 


5977 


6126 


6274 


6423 


6571 


6719 


149 




293 


6868 


7016 


7164 


7312 


7460 


7608 


7756 


7904 


8052 


8200 


148 




294 


8347 


8495 


8643 


8790 


8938 


9085 


9233 


9380 


9527 


9675 


148 




295 


9822 


9969 


.116 


.263 


.410 


.557 


.704 


.851 


.998 


1145 


147 




296 


471292 


1438 


1585 


1732 


1878 


2025 


2171 


2318 


2464 


2610 


140 




297 


2756 


2903 


3049 


3195 


3341 


3487 


3633 


3779 


3925 


4071 


146 




298 


4216 


4362 


4508 


4653 


4799 


4944 


5090 


5235 


5381 


5526 


146 




299 
300 


5671 


5816 
7266 


5962 
7411 


6107 
7555 


6252 
7700 


6397 

7844 


6542 
7989 


6687 
8133 


6832 

8278 


6976 

8422 


145 
145 




477121 




301 


8566 


87U 


8855 


8999 


9143 


9287 


9431 


9575 


9719 


9863 


144 




302 


480007 


0151 


0294 


0438 


0582 


0725 


0869 


1012 


1156 


1299 


144 




303 


1443 


1586 


1729 


1872 


2016 


2159 


2302 


2445 


2588 


2731 


143 




304 


2874 


3016 


3159 


3302 


3445 


3587 


3730 


3872 


4015 


4157 


143 




305 


4300 


4442 


4585 


4727 


4869 


5011 


5153 


5295 


5437 


5579 


142 




306 


5721 


5863 


6005 6147 


6289 


6430 


6572 


6714 


6855 


6997 


142 




307 


7138 


7280 


7421 


7563 


7704 


7845 


7986 


8127 


8269 


8410 


141 




308 


8551 


8692 


8833 


8974 


9114 


9255 


9396 


9537 


9677 


9818 


141 




309 

310 


9958 


..99 
1502 


.239 
1642 


.380 


.520 
1922 


.661 
2062 


.801 
2201 


.941 
2341 


1081 
2481 


1222 
26^1 


140 
140 




491362 


1782 




311 


2760 


2900 


3040 


3179 


3319 


3458 


3597 


3737 


3876 


4015 


139 




312 


4155 


4294 


4433 


4572 


4711 


4850 


4989 


5128 


5267 


5406 


139 




313 


5544 


5683 


5822 


5960 


6099 


6238 


6376 


6515 


6653 


6791 


139 




314 


6930 


7068 


7206 


7344 


7483 


7621 


7759 


7897 


8035 


8173 


138 




315 


8311 


8448 


8586 


8724 


8862 


8999 


9137 


9275 


9412 


9550 


138 




316 


9687 


9824 


9962 


..99 


.236 


.374 


.511 


.648 


.785 


.922 


137 




317 


501059 


1196 


1333 


1470 


1607 


1744 


1880 


2017 


2154 


2291 


137 




318 


2427 


25a4L 


2700 


2837 


2973 


3109 


3246 


3382 


3518 


3655 


136 




319 


3791 


3927 


4063 


4199 


4335 


4471 


4607 


4743 


4878 


5014 


136 




320 


505150 


5286 


5421 


5557 


5693 


5828 


5964 


6099 


6234 


6370 


136 




321 


6505 


6640 


6776 


6911 


7046 


7181 


7316 


7451 


7586 


7721 


135 




322 


7856 


7991 


8126 


8260 


8395 


S530 


8664 


8799 


8934 


9068 


135 




323 


9203 


9337 


9471 


9606 


9740 


9874 


...9 


.143 


.277 


.411 


134 




324 


510545 


0679 


0813 


0947 


1081 


1215 


1349 


1482 


1616 


1750 


134 




325 


1883 


2017 


2151 


2284 


2418 


2551 


2684 


2818 


2951 


3084 


133 




326 


3218 


3351 


3484 


3617 


3750 


3883 


4016 


4149 


4282 


4414 


133 




327 


4548 


4681 


4813 


4946 


5079 


5211 


5344 


5476 


5609 


5741 


133 




328 


5874 


6006 


6139 


6271 


6403 


6535 


6668 


6800 


6932 


7064 


132 




329 
330 


7196 


7328 
8646 


7460 

8777 


7592 
8909 


7724 
904C 


7855 
9171 


7987 
9303 


8119 
9434 


8251 
9566 


8382 
969- 


132 
131 




518514 




331 


9828 


995S 


..90 


.221 


.352 


.484 


.615 


.745 


.876 


100- 


131 




332 


521138 


126£ 


140C 


1530 


1661 


1792 


1922 


2053 


2183 


2314 


t 131 




333 


2444 


257£ 


270.^ 


2835 


296f 


3096 


3226 


3356 


3486 


3616 


130 




334 


3746 


387( 


) 400e 


4136 


4266 


4396 


4526 


4656 


4785 


49 1£ 


) 130 




335 


504f 


517^ 


t 5304 


t 5434 


t 556C 


5 569S 


5822 


5951 


6081 


621( 


) 129 




336 


633{ 


646' 


) 6595 


672'- 


6856 


698£ 


7114 


724£ 


7372 


750 


129 




337 


763C 


) 775 


) 7885 


i 801( 


) 814J 


) 8274 


t 8402 


8531 


866f 


878J 


i\ 129 




338 


891- 


r 904 


5 917^ 


[ 9305 


I 943( 


) 955J 


968- 


981f 


994S 


..7' 


J|128 




339 


5302001 03281 04561 05841 0712' 08401 09681 109( 


122E 


135 


lll28 




N. 


1 1 1 1 2 1 3 1 4 ! 5 1 6 1 7 1 8 1 9 1 D. 1 



A TABlfi OP lOGAKITHMS FitOM f Tff 10,60(1 



I: 1 I 2 I 3 I 4 I 5 I 6 I 7 I 



340 , 5314791 1607 

341 I 2754 2882 



342 
343 

344 
345 
346 
347 
348 
349 
350 
351 
352 
353 
354 
355 
356 
357 
358 
359 
360 
361 
362 
363 
364 
365 
366 
367 



370 
371 
373 
373 
374 
375 
376 
377 
378 
379 
380 
381 
382 
383 
334 
385 



4026 
5294 
6558 
7819 
9076 
540329 
1579 
2825 



390 
391 
392 
393 
394 
395 
396 
397 



544068 
5307 
6543 
7775 
9003 

550228 
1450 
2668 
3883 
5094 



556303 
7507 
8709 
9907 

561101 
2293 
3481 
4666 
5848 
7026 



4153 
5421 
6685 
7945 
9202 
0455 
1704 
2950 
4192 
5431 
6666 
7898 
9126 
0351 
1572 
2790 
4004 
5215 



1734 
3009 
4280 
5547 
6811 
8071 
9327 
0580 
1829 
3074 



1862 11990 



4316 
5555 
6789 
8021 
9249 
0473 
1694 
2911 
4126 
5336 



568202 
9374 

570543 
1709 
2872 
4031 
5188 
6341 
7492 
8639 



579784 
580925 
2063 
3199 
4331 
5461 
6587 
7711 
8832 
9950 



591065 
2177 
3286 
4393 
5496 
6597 
7695 
8791 
9883 

600973 



64231 6544 



7637 
8829 
..26 
1221 
2412 
3600 
4784 
5966 
714-4 



8319 
9491 
0660 
1825 
2988 
4147 
5393 
6457 
7607 
8754 



9898 
1039 
2177 
3312 
4444 
5574 
6700 
7823 
8944 
..61 



1176 
2288 
3397 
4503 
5606 
6707 
7805 



7748 
8948 
.146 
1340 
2531 
3718 
4903 
6084 
7262 



4407 
5674 
6937 
8197 
9452 
0705 
1953 
3199 



4440 
5678 
6913 
8144 
9371 
9595 
1816 
3033 
4247 
5457 



8436 
9608 
0776 
1942 
310. 
4263 
5419 
6572 
7732 
8868 



..12 
1153 
2291 
3426 
4557 
5686 
6812 
7935 
9056 
.173 



1287 
2399 
3508 
4614 
5717 
6817 
7914 
9009 
9992 .101 
10821 1191 



6664 
7868 
9038 
.265 
1459 
2650 
3837 
6021 
6202 
7379 



4534 
5800 
7063 
8322 
9578 
0830 
2078 
3323 



8554 
9725 
0893 
2058 
3230 
4379 
5534 
6687 
7836 
8983 



.126 
1267 
2404 
3539 
4670 
5799 
6925 
8047 
9167 
.284 



1399 
3510 
3618 
4724 
5827 
6937 
8024 
9119 
.210 
1299 



4564 
5802 
7036 
8267 
9494 
0717 
1938 
3155 
4368 
5578 
6785 
7988 
9188 
..385 
1578 
2769 
3955 
5139 
6320 
7497 



2117 
3391 
4661 
5927 
7189 
8448 
9703 
0955 
2203 
3447 



4688 
5925 
7159 
8389 
9616 
0840 
2060 
3276 
4489 



2245 
3518 
4787 
6053 

7315 
8574 
9829 
1080 
2327 
3571 



8671 
984! 
1010 
2174 
3336 
4494 
5650 
6802 
7951 
9097 



241 
.381 
2518 
3652 
4783 
5912 
7037 
8160 
9279 



1510 
2621 
3729 
4834 
5937 
7037 
8134 
9228 
.319 
1408 



6905 
8108 
9308 
.504 
1698 
2887 
4074 
5257 
6437 
7614 
8788 
9959 
1126 
2291 
3452 
4610 
5765 
6917 
8006 
9212 



.355 
1495 
2631 
3765 
4896 
6024 
7149 
8272 
9391 
.507 



4812 
6049 
7282 
8512 
9739 
0902 
2181 
.3398 
4610 
5820 



7026 
8228 
9428 
.624 
1817 
3006 
4192 
5376 

655:" 

7732 



2372 
3645 
4914 
6180 
7441 
8699 
9954 
1205 
2452 
3696 
4936 
6172 
7405 
86.35 
9861 
1084 
2303 
3519 
4731 
5940 



2500 
3772 
5041 
6306 

7567 
8825 
..79 
13.30 
2576 
38r0 



8905 
. .76 
1243 
2407 
3568 
4726 
5880 
7032 
8181 
9326 



1021 
2732 
3840 
4945 
6047 
7146 
8243 
9337 
.428 
1517 



.469 
1608 

2745 
3879 
5009 
8137 
7262 
8384 
9503 
.619 



7146 
8349 
9548 
.743 
1936 
3125 
4311 
5494 
6673 
7849 



9023 
.19: 
1359 
2523 
3684 
4841 
5996 
7147 
8295 
9441 



.5060 
6296 
7529 
8758 
9984 
1206 
2425 
3640 
4852 
6061 



2627 
3899 
5167 
6432 
7693 
8951 
.204 
14.54 
2701 
3944 



7267 
8469 
9667 
.863 
2055 
3244 
4429 
5612 
6791 
7967 



..583 
1723 
2858 
3992 
5122 
6250 
7374 



1732 
2843 
3950 
5055 
6157 
7256 
8353 
9446 
.537 
16251 1734 



9615 
.730 
1843 
2954 
4061 
5165 
6267 
7366 
8462 
9556 
.646 



9140 
.309 
1476 
2639 
3800 
4957 
6111 
7262 
8410 
9555 



.697 
1836 
2972 
4105 
5235 
6362 
7486 
8608 
9726 
.842 



5183 

6419 

7652 

8881 

.IC 

1328 

2547 

3762 

4973 

6182 

7387 

8589 

9787 

.982 

2174 

3362 

4548 

5730 

6909 

8084 



9257 
.436 
1592 
2755 
3915 
5072 
6226 
7377 
8525 



N. t 0_ I 1 } 2 I 3 i 4 I 5 i 6 I 7 I 



1955 
3064 
4171 
5276 
6377 
7476 
8572 
9665 
.755 
1843 



.811 
1950 
3085 
4218 
5348 
6475 
7599 
8720 
9838 
.953 
2066 
3175 
4282 



128 
127 
127 
126 
126 
126 
125 
125 
125 
124 
124 
124 
123 
123 
123 
122 
122 
121 
121 
121 
120 
120 
120 
119 
119 
119 
119 

lis 

118 

il§ 
117 
117 
117 
116 
116 
116 
115 
115 
116 
114 
114 
114 
114 
113 
113 
113 
112 
112 
112 
112 
111 
111 
111 
110 
110 
110 
110 



6487 
7586 
8681 
97741 109 
.864 109 
195l| 109 

9 I D. 





A 


TABLE OF LOGARITHMS FROM 1 


ro 10,000. 




7 


N. 


1 1 1 I 2 1 3 1 4 1 5 1 6 1 7 ! 8 1 9 1 D 1 


400 


60206C 


2169 


2277 


2386, 2494, 2603 


2711 


2819 


2928 


3036' 108 1 


401 


3144 


3253 


3361 


.3468 


3577 


3686 


3794 


3902 


4010 


4118 


108 


402 


4226 


4334 


4442 


455t 


4658 


4766 


4874 


4982 


5089 


5197 


108 


403 


5305 


5413 


.5521 


562fi 


5736 


5844 


.5951 


6059 


6166 


62V4 


108 


404 


6381 


6489 


6.596 


6704 


6811 


6919 


7026 


7133 


7241 


7348 


107 


405 


7455 


7562 


766;: 


7777 


7884 


7991 


H09>- 


8205 


8312 


8419 


10/ 


406 


8526 


8633 


874f 


8847 


89.54 


9061 


9167 


9274 


9381 


9488 


107 


407 


95941 9701 


9808 


9914 


..21 


.128 


.2.34 


.341 


.447 


.554 


107 


408 


610660 


0767 


087.-= 


0970 


1086 


1192 


129ii 


1405 


1511 


161V 


106 


409 

410 


1723 


1829 


1936 
2996 


2042 
3102 


2148 
3207 


2254 
3313 


2360 
.3419 


2466 
3525 


2572 
3630 


2678 
3736 


106 
106 


612784 


2890 


411 


3842 


3947 


405? 


4159 


4264 


4370 


4475 


4.581 


4686 


4792 


106 


41''. 


• 4897 


5003 


510.= 


5213 


.531}: 


5424 


552!) 


5634 


5740 


5845 


105 


4K^ 


5950 


6055 


616(1 


6265 


637(1 


6476 


6.581 


6686 


6790 


6895 


105 


414 


7000 


7105 


721 (i 


7315 


742(1 


7525 


7629 


7734 


7839 


79431 105 1 


415 


8048 


8153 


8257 


8362 


8466 


8.571 


8676 


8780 


8884 


8989 


105 


41 fi 


9093 


9198 


9302 


9406 


9511 


9615 


971?) 


9824 


9928 


..32 


104 


417 


630136 


0240 


0344 


0448 


0552 


0656 


0760 


0864 


0968 


1072 


101 


41S 


1176 


1280 


1 334 


1488 


1.592 


1695 


1799 


1903 


2007 


2110 


104 


419 
4-?.() 


2214 


2318 
3353 


2421 
3456 


2.525 
3559 


2628 
3663 


2732 
3766 


2835 


2939 
3973 


3042 
4076 


3146 


104 
i03 


623249 


3869 


4179 


421 


4282 


4385 


4488 


4591 


4695 


4798 


4901 


.50041 5107! .5210 


103 


49,?, 


5312 


5415 


.5518 


5621 


5724 


5827 


.5929! 60321 6135J 6238 


103 


423 


6340 


6443 


6546 


6648 


6751 


6853 


6956 70,581 7161 7263 


103 


424 


7366 


7468 


7571 


7673 


7775 


7878 


7980 8082 8185 8287 


103 


425 


8389 


8491 


8593 


8695 


8797 


8900 


9002 9104 9206 9308 


102 


42fi 


9410 


9512 


9613 


9715 


9817 


9919 


..211 .123! .224 .3261 102. 


427 


630428 


0530 


063 1 


0733 


0835 


0936 


1038 


11.391 1241 1342 


102 


428 


1444 


1545 


1647 


1748 


1849 


1951 


2052 


21531 22.55 2356 


101 


4',!9 
4S0 


2457 


2559 
d569 


2660 
3670 


2761 
3771 


2862 
3872 


2963 
3973 


3064 
4074 


3166 3266] 3367 


101 
100 


633468 


4175i 4276 


4376 


431 


4477 


4578 


4679 


4779 


4880 


4981 


.5081 


5182 


.5283 


5383 


100 


432 


5484 


55S4 


5685 


5785 


.5886 


5986 


6087 


6187 


6287 


6388 


100 


43>5 


6488 


6588 


6688 


6789 


6889 


6989 


7089 


7189 


7290 


7390 


100 


434 


7490 


7590 


7690 


7790 


7890 


7990 


8090 


8190 


8290 


8389 


99 


435 


8489 


8589 


8689 


8789 


8888 


8988 


9088 


9188 


9287 


9.387 


99 


436 


9486 


9586 


9686 


9785 


9885 


9984 


..84 


.183 


.283 


.382 


99 


437 


640481 


058 1 


0680 


0779 


0879 


0978 


1077 


1177 


1276 


1375 


99 


438 


1474 


1573 


1672 


1771 


1871 


1970 


2069 


2168 


2267 


2366 


99 


439 

440 


2465 


2563 
3551 


2662 
3650 


2761 
3749 


2860 


2959 


3058 
4044 


3156 
4143 


3255 

4242 


33,54 
4340 


99 
98 


643453 


3847 


3946 


441 


4439 


4537 


4636 


4734 


4832 


4931 


5029 


5127 


5226 


5324 


98 


442 


5422 


5521 


.5619 


5717 


,5815 


5913 


6011 


6110 


6208 


6306 


98 


443 


6404 


6502 


6600 


6698 


6796 


6894 


6992 


7089 


7187 


7285 


98 


444 


7383 


7481 


7579 


7676 


7774 


7872 


7969 


8067 


8165 


8262 


98 


445 


8360 


8458 


8555 


8653 


8750 


8848 


8945 


9043 


9140 


9237 


97 


44i) 


9335 


9432 


9530 


9627 


9724 


9821 


9919 


..16 


.113 


.210 


97 


447 


650308 


0405 


0502 


0599 


0696 


0793 


0890 


0987 


1084 


1181 


97 


44S 


1278 


1375 


1472 


1569 


1666 


1762 


18.59 


1956 


2053 


21.50 


97 


449 
450 


2246,, 


2343 
3309 


2440 
3405 


2536 
3.502 


2633 


2730 


2826 
3791 


2923 

3888 


3019 
.3984 


3116 
4080 


97 
96 


653213 


3598 3695 


451 


4177 


4273 


4369 


4465 


4562 


4658 


4754 


4850 


4946 


5042 


96 


462 


5138 


t.235 


5331 


5427 


5523 


5619 


,5715 


.5810 


5906 


6002 


96 


453 


6098 


6194 


6290 


6386 


6482 


6577 


6673 


6769 


6864 


6960 


96 


454 


7056 


7152 


7247 


7343 


7438 


7534 


7629 


7725 


7820 


7916 


96 


455 


SOU 


8107 


8202 


8298 


8393 


8488 


8584 


8679 


8774 


8870 


95 


45H 


8965 


9060 


9155 


9250 


9346 


9441 


9,536 


9631 


9726 


9821 


95 


457 


9916 


..11 


.106 


.201 


.296 


.391 


.486 


..581 


.676 


.771 


95 


458 


660865 


0960 


1055 


11.50 


1245 


1339 


1434 


1529 


1623 


1718 


95 


459 


1813 


1907 


2002 


2096 


2191 


2280 


2380 2475 


2569 


2663 


95 



N. I 111 



I 4 I 5 I 6 I 7 I 8 I 



e 


A TABLE OF liOGAKITHMS FROM 1 TO 10,000» 






N.I 


;i|2|3|4|5|6|7|8|9|D. I 


460 


662758 


2852 


2947 


3041 3135| 3230, 3324, 34181 35121 3607, 941 


461 


3701 


3795 


3889 


3983 40781 


4172 


4266 


4360 


4454 


4.548 


94 


462 


4642 


4736 


4830 


4924 


.5018 


5112 


5206 


5299 


5393 


5487 


94 


463 


5581 


5675 


5769 


5862 


,59.56 


6050 


6143 


6237 


6331 


6424 


94 


464 


6518 


6612 


6705 


6799 


6892 


6986 


7079 


7173 


7266 


7360 


94 


465 


7453 


7546 


7640 


7733 


7826 


7920 


8013 


8106 


8199 


8293 


93 


466 


8386 


8479 


8572 


8665 


8759 


88.52 


8945 


9038 


9131 


9224 


93 


467 


9317 


9410 


9503 


9596 


9689 


9782 


9875 


9967 


..60 


.1.53 


93 


468 


670241 


0339 


0431 


0524 


0617 


0710 


0802 


0895 


0988 


1080 


93 


469 


1173 


1265 


1358 


1451 


1543 


1«36 


1728 


1821 


1913 


2005 


93 


470 


672098 


2190 


2283 


2375 


2467 


2560 


2652 


2744 


2836 


2929 


92 


471 


3021 


3113 


3205 


3297 


3390 


3482 


3574 


3666 


3758 


3850 


92 


472 


3942 


4034 


4126 


4218 


4310 


4402 


4494 


4586 


4677 


4769 


92 


47H 


4861 


4958 


5045 


5137 


5228 


.5320 


5412 


5.503 


5595 


5687 


92 


474 


5778 


5870 


5962 


6053 


6145 


6236 


6328 


6419 


6511 


6602 


92 


475 


6694 


6785 


6876 


6968 


7059 


7151 


7242 


7333 


7424 


7516 


91 


476 


7607 


7698 


7789 


7881 


7972 


8063 


8154 


8245 


8336 


8427 


91 


477 


8518 


8609 


8700 


8791 


8882 


8973 


9064 


91.55 


9246 


9337 


91 


478 


9428 


9519 


9610 


9700 


9791 


9882 


9973 


..63 


.1.54 


.245 


91 


479 
480 


680336 


0426 
1332 


0517 
1422 


0607 
1513 


0698 
1603 


0789 
1693 


0879 
1784 


0970 

1874 


1060 
1964 


1151 
2055 


91 
90 


681241 


481 


2145 


2235 


2326 


2416 


2.506 


2596 


2686 


2777 


2867 


2957 


90 


482 


3047 


3137 


3227 


3317 


3407 


3497 


3587 


3677 


3767 


.3857 


90 


483 


3947 


4037 


4127 


4217 


4307 


4396 


4486 


4576 


4666 


4756 


90 


484 


4845 


4935 


5025 


5114 


5204 


5294 


5383 


5473 


5563 


5652 


90 


485 


5742 


5831 


5921 


6010 


6100 


6189 


6279 


6368 


6458 


6547 


89 


486 


6636 


6726 


6815 


6904 


6994 


7083 


7172 


7261 


7.351 


7440 


89 


487 


7529 


7618 


7707 


7796 


7886 


7975 


8064 


81.53 


8242 


8.331 


89 


488 


8420 


8509 


8598 


8687 


8776 


8865 


8953 


9042 


9131 


9220 


89 


489 
490 


9309 


9398 

0285 


9486 
0373 


9575 
0462 


9664 
0550 


9753 
0639 


9841 
0728 


9930 
0816 


..19 
0905 


.107 
0993 


89 
89 


690196 


491 


1081 


1170 


1258 


1347 


14.35 


1.524 


1612 


1700 


1789 


1877 


88 


492 


1965 


2053 


2142 


2230 


2318 


2406 


2494 


2583 


2671 


2759 


88 


493 


2847 


2935 


3023 


3111 


3199 


3287 


3375 


.3463 


3551 


.3639 


88 


494 


3727 


38 15 


3903 


3991 


4078 


4166 


4254 


4342 


4430 


4517 


88 


495 


4605 


4693 


4781 


4868 


4956 


5044 


5131 


.5219 


5307 


5394 


88 


496 


5482 


5569 


5657 


5744 


.58.^2 


.5919 


6007 


6094 


6182 


6269 


87 


497 


6356 


6444 


6531 


6618 


6706 


6793 


6880 


6968 


7055 


7142 


87 


498 


7229 


7317 


7404 


7491 


7578 


7665 


7752 


783S1 


7926 


8014 


87 


499 
500 


8101 


8188 
9057 


8275 
9144 


8362 
9231 


8449 
9317 


8535 
9404 


8622 
9491 


8709 
9578 


8796 
9664 


8883 
9751 


87 
87 


698970 


501 


9838 


9924 


..11 


..98 


.184 


.271 


.3.58 


.444 


..531 


.617 


87 


502 


700704 


0790 


0877 


0963 


10.50 


1136 


1222 


130t 


1395 


1482 


86 


503 


1568 


1654 


1741 


1827 


1913 


199f 


2086 


2172 


225fc 


2344 


86 


504 


2431 


2517 


260.<= 


2689 


2775 


2861 


2947 


303;- 


31 U 


3205 


86 


505 


3291 


3377 


3463 


3549 


3635 


3721 


3807 


3895 


397f 


4065 


86 


566 


4151 


4236 


4322 


4408 


4494 


4579 


4665 


4751 


4837 


4922 


86 


507 


5005 


5094 


51 7c 


5265 


5350 


.5436 


5522 


5607 


569? 


577i: 


86 


508 


5864 


5949 


6035 


6120 


6206 


6291 


6376 


6462 


6547 


6632 


85 


509 
510 


6718 


6803 
7655 


6888 
7740 


6974 

7826 


7059 
7911 


7144 
7996 


2229 
8081 


7315 
8166 


7400 

8251 


7485 
8336 


85 

85 


70757C 


511 


8421 


8506 


8591 


8676 


8761 


8846 


8931 


9015 


9 IOC 


9185 


85 


512 


927C 


9355 


944( 


9524 


9609 


9694 


9779 


986? 


9945: 


..3? 


85 


513 


710117 


0202 


0287 


0371 


0456 


0541. 


0625 


0710 


0794 


087!: 


85 


514 


096? 


1048 


11.32 


1217 


1301 


1.385 


1470 


1.5.54 


163t 


172;- 


84 


515 


1807 


1892 


197(1 


206C 


2144 


2229 


2313 


2397 


2481 


2566 


84 


516 


265( 


2734 


2818 


2902 


2986 


307( 


3154 


323^ 


332.'^ 


3407 


84 


517 


3491 


3575 


36.5(1 


3742 


.3826 


39U 


3994 


4078 


4162 


4246 


84 


518 


433( 


4414 


4497 


4581 


4665 


4749 


4833 


4916 


500t 


5084 


84 


519 


51671 5251 


5335I 5418 


5502 


5586 


5669 


5753I 58361 5920 


84 


N. 


1 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 D. 1 



A TABIE OF LOGARITHMS PKOM 1 TO 10,000. 



N. 1 1 1 1 2 1 3 1 4 1 5 1 fi 1 7 1 8 1 9 1 D. 1 


520 


7160031 6087i 617( 


6254 


6337 


6421 


6504 


65881 6671 


6754 


83 


521 


6838 


6921 


7004 


7085 


7171 


7254 


7338 


7421 


7504 


7587 


83 


522 


7671 


7754 


7837 


792( 


8003 


8086 


8169 


825!: 


8336 


8419 


83 


623 


8502 


8585 


8668 


8751 


8834 


8917 


9000 


908S 


9165 


9248 


83 


524 


9331 


9414 


9497 


958(; 


9663 


9745 


9828 


9911 


9994 


..77 


83 


525 


720159 


0242 


0325 


0407 


0490 


0573 


0655 


0738 


0821 


0903 


83 


526 


0986 


1068 


1151 


123.1 


1316 


1398 


1481 


1,56;J 


1646 


1728 


82 


537 


1811 


1893 


1975 


2058 


2140 


2222 


2305 


2387 


2469 


2552 


82 


528 


2634 


2716 


2798 


2881 


2963 


3045 


3127 


3209 


3291 


3374 


82 


529 
530 


3456 


3538 
4358 


3620 
4440 


3702 
4522 


3784 
4604 


3866 
4685 


3948 
4767 


4030 
4849 


4112 
4931" 


4194 
.5013 


82 
82 


724276 


531 


5095 


5176 


5258 


5,340 


5422 


5503 


5585 


5667 


5748 


5830 


82 


532 


5912 


5993 


6075 


61.56 


6238 


6320 


6401 


6483 


6564 


6646 


82 


533 


6727 


6809 


6890 


6972 


7053 


7i;m 


7216 


7297 


7379 


7460 


81 


534 


7541 


7623 


7704 


7785 


7866 


7948 


8029 


8110 


8191 


8273 


81 


535 


8354 


8435 


8516 


8597 


8678 


8759 


8841 


8922 


9003 


9084 


8T 


53fi 


9165 


9246 


9327 


9408 


9489 


9570 


9651 


9732 


9813 


9893 


81 


537 


9974 


..55 


.1.36 


.217 


.298 


.378 


.459 


•540 


.621 


.702 


81 


538 


730782 


0863 


0944 


1024 


1105 


1186 


1266 


1347 


1428 


1,508 


81 


539 
540 


1589 


1C69 
2474 


1750 
25.55 


1830 
2635 


1911 
2715 


1991 
2796 


2072 
2876 


2152 
2956 


2233 
3037 


2313 
3117 


81 
80 


732394 


541 


3197 


3278 


3358 


3438 


3518 


3598 


3679 


3759 


,3839 


.3919 


80 


542 


3999 


4079 


4160 


4240 


4320 


4400 


4480 


4560 


4640 


4720 


80 


543 


4800 


4880 


4960 


5040 


5120 


5200 


5279 


5359 


5439 


.5519 


80 


544 


5599 


5679 


5759 


5838 


.5918 


5998 


6078 


6157 


6237 


6317 


80 


545 


6397 


6476 


6556 


66-35 


6715 


6795 


6874 


69,54 


7034 


711.^ 


sa 


546 


7193 


7272 


7352 


7431 


7511 


7590 


7670 


7749 


7829 


7908 


79 


547 


7987 


8067 


8146 


8225 


8305 


8384 


8463 


8543 


8622 


8701 


79 


548 


8781 


8860 


8939 


9018 


9097 


9177 


9256 


9335 


9414 


9493 


79 


549 
550 


9572 


9651 
0442 


9731 
0.521 


9810 
0600 


9889 
0678 


9968 
0757 


..47 
0836 


.126 
0915 


.205 
0994 


.284 
1073 


79 
79 


740363 


551 


1152 


1230 


1 309 


1388 


1467 


1546 


1624 


1 703 


1782 


1860 


79 


552 


1939 


2018 


2098 


2175 


22.54 


2332 


2411 


2489 


2568 


2646 


79 


553 


2725 


2804 


ii882 


2961 


3039 


3118 


3196 


3275 


33,53 


.3431 


78 


554 


3510 


3588 


3667 


3745 


3823 


3902 


3980 


40,58 


41.36 


4215 


78 


555 


4293 


4371 


4449 


4528 


4606 


4684 


4762 


4840 


4919 


4997 


78 


556 


5075 


5153 


5231 


5309 


5387 


5465 


5543 


,5621 


.5699 


5777 


78 


557 


5855 


5933 


6011 


6089 


6167 


6245 


6323 


6401 


fi479 


6556 


78 


558 


6634 


6712 


6790 


6868 


6945 


7023 


7101 


7179 


725R 


7334 


78 


559 
560 


7412 


7489 
8266 


7567 
8343 


7645 
8421 


7732 
8498 


V800 
8576 


V8V8 
8653 


7955 
8731 


8033 

8808 


8110 


78 


748188 


561 


8963 


9040 


9118 


9195 


9272 


9350 


942,V 


9504 


9.582 


9659 


77 


562 


9736 


9814 


9891 


9968 


..45 


.123 


.200 


.277 


.354 


.431 


77 


563 


750508 


0.^86 


0663 


0740 


0817 


0894 


0971 


1048 


1125 


1202 


77 


564 


1279 


1356 


1433 


1510 


1587 


1664 


1/41 


1818 


1H9A 


19^72 


77 


565 


2048 


2125 


2202 


2279 


2:^56 


2433 


2509 


2586 


2663 


2740 


77 


566 


2816 


2893 


2970 


3047 


3123 


3200 


3277 


3353 


3430 


3506 


77 


567 


3583 


3660 


3736 


3813 


3889 


3966 


4042 


4119 


4195 


4272 


77 


568 


4348 


4425 


4,501 


4578 


4654 


4730 


4807 


4883 


4960 


.5036 


76 


569 
570 


5112 


5189 
5951 


5265 
6027 


5341 
6103 


5417 
6180 


5494 
6256 


5570 
6332 


5646 
6408 


5722 
6484 


5799 
6560 


76 
76 


755875 


571 


6636 


6712 


6788 


6864 


6940 


7016 


7092 


7168 


7244 


7320 


76 


572 


7396 


7472 


7.548 


7624 


7700 


7775 


7851 


7927 


8003 


8079 


76 


573 


8155 


8230 


8.^0tt 


8382 


8458 


8.533 


8609 


8685 


8761 


8836 


76 


574 


8912 


8988 


9063 


9139 


9214 


9290 


9366 


9441 


9.517 


9592 


76 


575 


9668 


9743 


9819 


9894 


9970 


..45 


.121 


.196 


.272 


.347 


75 


576 


760422 


0498 


0573 


0649 


0724 


0799 


0875 


0950 


1025 


1101 


75 


577 


1176 


1251 


1326 


1402 


1477 


1.5.52 


1627 


1702 


1778 


18.53 


75 


578 


1928 


2003 


2078 


2153 


2228 


2303 


2378 


2453 


2529 


2604 


75 


579 


2679 


27541 28291 2904- -^^rSl 


3053 3128' 3203 


3278 


3353 75 1 


N. 1 U 1 1 I 2 1 3 1 4 1 5 1 6 1 7 1 8" 1 9 1 D. j 












"l" 












rr?i. 



10 



A fABLE OF LOGARITHilS PKOM 1 TO 10,000. 



N. 


; |l[2l3!4i5|6|7|8|9lD. 1 


fi80- 


763428, 35031 3578, 3653, 3727, 3802, 3877, 3952| 4027 


4101 


75 


f)81 


4176 


4251 


4326 


440(J 


4475 


4550 


4624 


4699 4774 


484? 


75 


582 


4923 


4998 


5072 


5147 


5221 


5296 


5370 


5445 552C 


559^ 


75 


583 


5669 


5743 


5816 


5892 


5966 


0041 


6115 


6190 6264 


633? 


74 


584 


6413 


6487 


6562 


6636 


6710 


6785 


6859 


693.^ 


700^7 


7082 


74 


585 


7156 


7230 


7304 


7379 


7453 


7527 


7601 


7675 


7749 


782? 


74 


586 


7898 


7972 


8046 


8120 


8194 


8268 


8342 


8416 


849(1 


8564 


74 


587 


8638 


8712 


8786 


8860 


8934 


9008 


9082 


9156 


923(1 


930.^ 


74 


588 


9377 


9451 


9525 


9599 


9673 


9746 


9820 


9894 


9968 


..42 


74 


589 
590 


770115 


0189 
0926 


0263 
0999 


0336 
1073 


0410 
1146 


0484 


0557 


0631 
1367 


0705 
1440 


0778 
1514 


74 
74 


770852 


12201 1293 


591 


1587 


1661 


1734 


1808 


1881 


1955 


2028 


2102 


2175 


2248 


73 


592 


2322 


2395 


2468 


2542 


2615 


2688 


2762 


2835 


2908 


2981 


73 


593 


3055 


3128 


3201 


3274 


3348 


3421 


3494 


3567 


364(1 


3713 


73 


594 


3786 


3860 


3933 


4006 


4079 


4152 


4225 


4298 


4371 


4444 


73 


595 


4517 


4590 


4663 


4736 


48091 4882 


4955 


5028 


5100 


517? 


73 


59fi 


5246 


5319 


5392 


5465 


5538 


5610 


5683 


5756 


5829 


5902 


73 


597 


5974 


6047 


6120 


6193 


6265 


6338 


6411 


6483 


6556 


662S: 


73 


598 


6701 


6774 


6846 


6919 


6992 


7064 


7137 


7209 


7282 


7354 


73 


599 
600 


7427 


7499 

8224 


7572 
8296 


7644 
8368 


7717 
8441 


7789 
8513 


7862 
8585 


7934 

8658 


8006 
8730 


8079 
8802 


72 
72 


778151 


601 


8874 


8947 


9019 


9091 


9163 


9236 


9308 


9380 


9452 


9524 


72 


602 


9596 


9669 


9741 


9813 


9885 


9957 


..29 


.101 


.173 


.245 


72 


603 


780317 


0389 


0461 


0533 


0605 


0677 


0749 


0821 


0893 


0965 


72 


«04 


1037 


1109 


1181 


1253 


1324 


1396 


1468 


1 540 


1612 


1684 


72 


605 


1755 


1827 


1899 


1971 


2042 


2114 


2186 


2258 


2329 


2401 


72 


606 


2473 


2544 


2616 


2688 


2759 


2831 


2902 


2974 


3046 


3117 


72 


607 


3189 


3260 


3332 


3403 


3475 


3546 


3618 


3689 


3761 


3832 


71 


608 


3904 


3975 


404614118 


4189 


4261 


4332 


4403 


4475 


4546 


71 


609 
610 


4617 


4689 
5401 


4760 
5472 


4831 
5543 


4902 
5615 


4974 
5086 


5045 
5757 


5116 

5828 


5187 
5899 


5259 
5970 


71 
71 


785330 


611 


6041 


6112 


6183 


6254 


6325 


6396 


6467 


6538 


6600 


6680 


71 


612 


6751 


6822 


6893 


6964 


7035 


7106 


7177 


7248 


73l(J 


739C 


71 


613 


7460 


7531 


7602 


7673 


7744 


7815 


7885 


7956 


8027 


8098 


71 


614 


8168 


89,39 


8310 


8381 


8451 


8522 


8593 


8663 


8V34 


8804 


7] 


615 


8875 


8946 


9016 


9087 


9157 


9228 


9299 


9369 


9440 


9510 


71 


616 


9581 


9651 


9722 


9792 


9863 


9933 


...4 


..74 


.144 


.215 


70 


617 


750285 


0356 


0426 


0496 


0567 


0637 


0707 0778 


0848 


091;^ 


70 


618 


0988 


1059 


1129 


119t* 


1269 


1340 


1410 


1480 


1,550 


162(. 


70 


619 
020 


1691 


1761 
2462 


1831 


1901 
2602 


1971 
2672 


2041 

2742 


2111 
2812 


2181 

2882 


2252 


2322 
3022 


70 
70 


792392 


2532 


2952 


621 


3092 


3162 


3231 


3301 


3371 


3441 


3511 


3581 


3651 


3721 


70 


622 


3790 


3860 


3930 


4000 


4070 


4139 


4209 


4279 


4349 


4418 


70 


623 


4488 


4558 


4627 


4697 


4767 


4836 


4906 


4976 


5045 


5115 


70 


624 


5185 


5254 


5324 


5393 


5463 


5532 


5602 


5672 


5741 


.581 1 


70 


625 


5880 


5949 


6ul9 


6088 


6158 


6227 


6297 


6366 


6436 


6505 


69 


626 


6574 


6644 


6713 


6782 


6852 


6921 


6990 


7060 


7129 


7198 


69 


627 


7268 


7337 


7406 


V475 


7545 


7614 


7683 


7752 


7821 


7890 


69 


628 


7960 


8029 


8098 


8167 


8236 


8305 


8374 


8443 


8513 


8582 


69 


629 
630 


8651 


8720 


8789 
9478 


8858 


8927 
9616 


8996 
9685 


9065 
9754 


9134 

9823 


9203 
9892 


9272 
9961 


69 
69 


799341 


9409 


9547 


631 


800029 


0098 


0167 


0236 


0305 


0373 


0442 


0511 


0580 


0648 


69 


632 


0717 


0786 


0854 


0923 


0992 


1061 


1129 


1198 


1266 


1335 


69 


633 


1404 


1472 


1541 


1609 


1678 


1747 


1815 


1884 


19.52 


2021 


69 


634 


2089 


2158 


2226 


2295 


2363 


2432 


2500 


2568 


2637 


2705 


69 


635 


2774 


2842 


2910 


2979 


3047 


3116 


3184 


3252 


3321 


3389 


68 


636 


3457 


3525 


3594 


3662 


3730 


3798 


3867 


3935 


4003 


4071 


68 


637 


4139 


4208 


4276 


4344 


4412 


4480 


4548 


4616 


4685 


4753 


68 


638 


4821 


4889 


4957 


5025 


5093 


5161 


5229 


52y7 5365 


5433 


68 


639 


5501 


5669 


5637 


5705 


5773 


5841 59081 


59-6 6O44I 


6112 68 1 


N. 


li|2|3|4|5|6|7i8|9| 


D. 



A l-ABLE OP tOGAniTbMS PKOM 1 TO 10,000. 



11 



N. 


l|2l3|4|5|6|7|8|9iU. 1 




640 
641 
642 
643 
644 
645 
646 
647 
648 
649 
650 
651 
652 
653 
654 
656 
656 
657 
658 
659 
660 
661 
662 
663 
664 
665 
666 
667 
668 
669 
670 
671 
672 
673 
074 
675 
676 
677 
678 
679 
680 
681 
682 
683 
684 
685 
686 
687 
688 
689 
690 
691 
692 
693 
694 
695 
696 
697 
698 
699 


806180 
6858 
7535 
8211 
8886 
9560 

810233 
0904 
1575 
2245 


6248 
6926 
7603 
8279 
8953 
9627 
0300 
0971 
1642 
2312 
2980 
3648 
4314 
4980 
5644 
6308 
6970 
7631 
8292 
8951 
9610 
0267 
0924 
1579 
2233 
2887 
3539 
4191 
4841 
5491 
6140 
6787 
7434 
8080 
8724 
9368 
..11 
0653 
1294 
1934 
2573 
3211 
3848 
4484 
5120 
5754 
6387 
7020 
7652 
8282 


6316 
6994 
7670 
8346 
9021 
9094 
0367 
1039 
1709 
2379 


6384 
7061 
7738 
8414 
9088 
9762 
0434 
1106 
1776 
2445 
3114 
3781 
4447 
5113 
5777 
6440 
7102 
7764 
8424 
9083 
9741 
0399 
1055 
1710 
2364 
3018 
3670 
4321 
4971 
5621 
6269 
6917 
7563 
8209 
8853 
9497 
.139 
0781 
1422 
2062 
2700 
3338 
3975 
4611 
5247 
5881 
6514 
7146 
7778 
8408 
9038 
9667 
0294 
0921 
1547 
2172 
2796 
3420 
4042 
4664 


6451 
7129 
7806 
8481 
9156 
9829 
0501 
1173 
1843 
2512 
3181 
3S4S 
4514 
5179 
5843 
6506 
7169 
7830 
8490 
9149 
9807 
0464 
1120 
1775 
2430 
3083 
3735 
4386 
5036 
5686 
6334 
6981 
7628 
8273 
8918 
9561 
.204 
0845 
1486 
2126 
2764 
3402 
4039 
4675 
5310 
5944 
6577 
7210 
7841 
8471 
9101 
9729 
0357 
0984 
1610 
2235 
2859 
3482 
4104 
4726 


6519 
7197 
7873 
8549 
9223 
9896 
0569 
1240 
1910 
2579 
3247 
3914 
4581 
5246 
5910 
6573 
7235 
7896 
8556 
9215 
9873 
0530 
1186 
1841 
2495 
3148 
3800 
4451 
5101 
5751 
6399 
7046 
7692 
8338 
8982 
9625 
.268 
0909 
1550 
2189 
2828 
3466 
4103 
4739 
5373 
6007 
6641 
7273 
7904 
8534 
9164 
9792 
0420 
1046 
1672 
2297 
2921 
3544 
4166 
4788 


6587 
7264 
7941 
8616 
9290 
9964 
0636 
1307 
1977 
2646 
3314 
3981 
4647 
5312 
5976 
6639 
7301 
7962 
8622 
9281 
9939 
0595 
1251 
1906 
2560 
3213 
3865 
4516 
5166 
5815 
6464 
7111 
7757 
8402 
9046 
9690 
.332 
0973 
1614 
2253 


6655 
7332 
8008 
8684 
9358 
..31 
0703 
1374 
2044 
2713 
3381 
4048 
4714 
5378 
6042 
6705 
7367 
8028 
8688 
9346 


6723 
7400 
8076 
8751 
9425 
..98 
0770 
1441 
2111 
2780 
3448 
4114 
4780 
5445 
6109 
6771 
7433 
8094 
8754 
9412 
..70 
0727 
1382 
2037 
2691 
3344 
3996 
4646 
5296 
5945 
6593 
7240 
7886 
8531 
9175 
9818 
.460 
1102 
1742 
2381 
3020 
3657 
4294 
4929 
5564 
6197 
6830 
7462 
8093 
8723 
9352 
9981 
0608 
1234 
1860 
2484 
3108 
3731 
4353 
4974 


6790 
7467 
8143 
8818 
9492 
.165 
0837 
1508 
2178 
2847 
.3514 
4181 
4847 
5511 
6175 
6838 
7499 
8160 
8820 
9478 
.136 
0792 
1448 
2103 
2756 
3409 
4061 
4711 
5361 
6010 
6658 
7305 
7951 
8595 
9239 
9882 
.525 
1166 
1806 
2445 
3083 
3721 
4357 
4993 
5627 
6261 
6894 
7525 
8156 
8786 
9415 
..43 
0671 
1297 
1922 
2547 
3170 
3793 
4415 
5035 


68 
68 
68 
67 
67 
67 
67 
67 
67 
67 
67 
67 
67 
66 
66 
66 
66 
66 
66 
66 
-66 
66 
66 
65 
65 
65 
65 
65 
65 
65 
65 
65 
65 
64 
64 
64 
64 
64 
64 
64 
64 
64 
64 
64 
63 
63 
63 
63 
63 
63 
"63 
63 
63 
63 
63 
62 
62 
62 
62 
62 




812913 
3581 
4248 
4913 
5578 
6241 
6904 
7565 
8226 
8885 


3047 
3714 
4381 
5046 
5711 
6374 
7036 
7698 
8358 
9017 
9676 
0333 
0989 
1645 
2299 
2952 
3605 
4256 
4906 
5556 
6204 
6852 
7499 
8144 
8789 
0432 
..75 
0717 
1358 
1998 
2637 
3275 
3912 
4548 
5183 
5817 
6451 
7083 
7715 
8345 
8975 
9604 
0232 
0859 
1485 
2110 
2734 
3357 
3980 
4601 




819544 
820201 
0858 
1514 
2168 
2822 
3474 
4126 
4776 
5426 


...4 
0661 
1317 
1972 
2626 
3279 
3930 
4581 
5231 
5880 
6528 
7175 
7821 
8467 
9111 
9754 
•396 
1037 
1678 
2317 
2956 
3593 
4230 
4866 
5500 
6134 
6767 
7399 
8030 
8660 
9289 
9918 
0545 
1172 
1797 
2422 
3046 
3669 
4291 
4912 




826075 
6723 
7369 
8015 
8660 
9304 
9947 

830589 
1230 
1870 




832509 
3147 
3784 
4421 
5056 
5691 
6324 
6957 
7588 
8219 


2892 
3530 
4166 
4802 
5437 
6071 
6704 
7336 
7967 
8597 
9227 
9855 
0482 
1109 
1735 
2360 
2983 
3606 
4229 
4850 




838849 
9478 

840106 
0733 
1359 
1985 
2609 
3233 
3855 
4477 


8912 
9541 
0169 
0796 
1422 
2047 
2672 
3295 
3918 
4539 




N. 1 1 1 1 2 1 3 1 4 1 5 1 6 I 7 1 8 1 9 1 D. 





IS 


A TABLE OF LOGARITHMS PROM i 


to io,obo. 




N. 


i 1 1 t 2 1 3 1 4 1 5 1 6 1 7 r 8 1 9 1 D. 




700 


845098 


5160. 5225 


5284 


5346i 5408i 5470| 5532 


5594|5656i 62 




701 


571f 


5780, 5845 


590^ 


596f 


6028 


609f 


6151 


621? 


637,'= 


63 




703 


6337 


639f 


646 


652c 


658f 


664f 


670?: 


677( 


6832 


689' 


62 




703 


6955 


7017 


707f 


7141 


7205 


726' 


732f 


7388 


7449 


7511 


63 




704 


757c 


763^; 


769t 


775fi 


781 P 


7881 


7943 


8004 


8066 


8128 


62 




705 


818£ 


825] 


8312 


8374 


8435 


8497 


8559 


862(1 


8682 


874f 


63 




706 


8805 


8866 


892^ 


898H 


90S1 


9112 


9174 


9235 


9297 


9358 


61 




707 


9419 


9481 


9542 


9604 


9665 


9726 


9788 


9849 


9911 


9972 


61 




708 


850033 


0095 


0156 


0217 


027f 


034f 


0401 


0462 


0524 


0.585 


61 




709 
710 


0646 
851258 


0707 
1320 


0769 

1381 


0830 
1442 


0891 
1 503 


0952 
1.564 


1014 


1075 
1686 


1136 
1747 


1197 
1809 


61 
61 




1625 




711 


1870 


1931 


1992 


2053 


2114 


2175 


2236 


2297 


2358 


2419 


61 




712 


2480 


2541 


2602 


2663 


2724 


2785 


2846 


2907 


2968 


,302c 


61 




713 


3090 


3150 


3211 


3272 


333^ 


3394 


3455 


35161 3577 


3637 


61 




714 


3698 


3759 


382(1 


3881 


3941 


4002 


4(K,S 


41241 4185 


4245 


61 




715 


4306 


4367 


4428 


4488 


4549 


4610 


4670 


4731 


4792 


4852 


61 




716 


4913 


4974 


5034 


5095 


5156 


.5216 


5277 


5337 


5398 


5459 


61 




717 


5519 


5580 


5640 


5701 


5761 


5822 


.5882 


5943 


6003 


6064 


61 




718 


6124 


HlHft 


6245 


6306 


6366 


6427 


6487 


6548 


6608 


6668 


60 




719 
720 


6729 


6789 
7393 


6850 
7453 


6910 
7513 


6970 
7574 


7031 
7634 


7091 
7694 


7152 
7755 


7212 

7815 


7272 
7875 


60 
60 




857332 




721 


7935 


7995 


8056 


8116 


8176 


8236 


8297 


8357 


8417 


8477 


60 




722 


8537 


8597 


8657 


8718 


8778 


8838 


8898 


89.58 


9018 


9078 


60 




723 


9138 


9198 


9258 


9318 


9379 


9439 


9499 


9659 


9619 


9679 


60 




724 


9739 


9799 


9859 


9918 


9978 


..38 


..98 


.1,58 


.218 


.278 


60 




72ft 


860338 


0398 


0458 


0518 


0578 


0637 


0697 


0757 


0817 


0877 


60 




726 


0937 


0996 


1056 


1116 


1176 


1236 


1295 


1.355 


1415 


1475 


60 




727 


1534 


1594 


1654 


1714 


1773 


1833 


1893 


19,52 


2012 


2072 


60 




728 


2131 


2191 


2251 


2310 


2370 


2430 


2489 


2549 


2608 


2668 


60 




729 
730 


2728 


2787 
3382 


2847 
3442 


2906 
3501 


2966 
3561 


3025 


3085 
3680 


3144 
3739 


3204 
3799 


3263 


60 
59 




863323 


3620 


3858 




731 


3917 


3977 


4036 


4096 


41 55 


4214 


4274 


4333 


4392 


4452 


59 




732 


4511 


4570 


4630 


4689 


4748 


4808 


4867 


4926 


4985 


5045 


59 




733 


5104 


5163 


5222 


5282 


5341 


5400 


5459 


.5519 


5578 


5637 


59 




734 


5696 


5755 


5814 


5874 


5933 


5992 


6051 


6110 


6169 


6228 


59 




735 


6287 


6346 


6405 


6465 


6524 


6.583 


6642 


6701 


6760 


6819 


59 




736 


6878 


6937 


6996 


7055 


7114 


7173 


7232 


7291 


7350 


7409 


59 




737 


7467 


7526 


7585 


7644 


7703 


7762 


7821 


7880 


7939 


7998 


59 




738 


8056 


8115 


8174 


8233 


8292 


8.350 


8409 


8468 


8527 


8586 


59 




739 
740 


8644 


8703 
9290 


8762 
9349 


8821 
9408 


8879 
9466 


8938 
9,52.5 


8997 
9584 


9056 
9642 


9114 
9701 


9173 
9760 


59 
59 




869232 




741 


9818 


9877 


9935 


9994 


..53 


.111 


.170 


.228 


.287 


.345 


59 




742 


870404 


0462 


0521 


0579 


0638 


0696 


0755 


0813 


0872 


0930 


58 




743 


0989 


1047 


1106 


1164 


1223 


1281 


1339 


1398 


1456 


151b 


58 




744 


1573 


1631 


1690 


1748 


1806 


1865 


1923 


1981 


2040 


2098 


58 




745 


2156 


2215 


2273 


2331 


2389 


2448 


2506 


2564 


2622 


2681 


58 




746 


2739 


2797 


2855 


2913 


2972 


3030 


3088 


3146 


3204 


3262 


58 




747 


3321 


3379 


3437 


3495 


355.'^ 


3611 


366-9 


3727 


3785 


3844 


58 




748 


3902 


3960 


4018 


4076 


4134 


4192 


4250 


4308 


4366 


4424 


58 




749 
750 


4482 


4540 


4598 

5177 


4656 
5235 


4714 
52~93 


4772 
,5351 


4830 


4888 
5466 


4945 


5003 

5582 


58 
58 




875061 


5119 


5409 


5524 




751 


5640 


5698 


5756 


5813 


5871 


5929 


5987 


6045 


6102 


6160 


58 




752 


6218 


6276 


6333 


6391 


6449 


6507 


6564 


6622 


6680 


6737 


58 




753 


6795 


6853 


6910 


6968 


7026 


7083 


7141 


7199 


7256 


7314 


58 




754 


7371 


7429 


7487 


7544 


7602 


7659 


7717 


7774 


7832 


7889 


.58 




755 


7947 


8004 


8062 


8119 


^177 


8234 


8292 


8349 


8407 


8464 


57 




756 


8522 


8579 


8637 


8694 


8752 


8809 


8866 


8924 


8981 


9039 


57 




757 


9096 


9153 


9211 


9268 


9325 


9383 


9440 


9497 


95,55 


9612 


57 




758 


9669 


9726 9784 


9841 


9898 


9956 


..13 


..70 


.127 


.185 


57 


759 


880242 


0299 03561 


0413 


0471 


0528 


0585 


0642 


0699 


0756 


57 




N. 1 


1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 D. J 



A TABLF OF LOGAKlTllMS PROM 1 TO 10,000. 



13 



N. I 



1 I 2 |3|4|5|6|7|8|9lD. 



7fiO 

761 

762 

763 

764 

765 

766 

767 

768 

769 

770 

771 

772 

773 

774 

775 

776 

777 

Tf7S 

779 

780 

781 

782 

783 

784 

785 

786 

787 

788 

789 

790 

791 

792 

793 

794 

795 

796 

797 

798 

799 

800 

801 

802 

803 

804 

805 

806 

807 



810 
811 
812 
813 
814 
815 
816 
817 
818 
819 



880814 
1385 
1955 
2525 



3661 
4229 
4795 
5361 
5926 



0871 
1442 
2012 
2581 
3150 
3718 
4285 
4852 
5418 



7054 
7617 
8179 
8741 
9302 



1537 



892095 
2651 
3207 
3762 
4316 
4870 
5423 
5975 
6526 
7077 



6547 
7111 
7674 
8236 
8797 
9358 
9918 
0477 
1035 
1593 



2150 
2707 
3262 
3817 
4371 
4925 
5478 
6030 
6581 
7132 



1499 
2069 
2638 
3207 
3775 
4342 
4909 
5474 
6039 



6004 
7167 
7730 
S29; 
8853 
9414 
9974 
0533 
1091 
1649 



897627 
8176 
8725 
9273 
9821 

900367 
0913 
1458 
2003 
2547 



4174 
4716 
5256 
6796 
6335 
6874 
7411 
7949 



7682 
8231 
8780 
9328 
9875 
0422 
0968 
1513 
2057 
2601 



2206 
2762 
3318 
3873 
4427 
4980 
5533 
6085 
6636 
7187 



0985 
1556 
2126 
2695 
3264 
3832 
4399 
4965 
5531 
6096 



6660 
7323 
7786 
8348 
8909 
9470 
..30 
0589 
1147 
1705 



7737 



0476 
1022 
1567 
2112 
2655 



908485 
9021 
9556 

910091 
0624 
1158 
1690 
2222 
2753 



3144 
3687 
4229 
4770 
5310 
5850 
6389 
6927 
7465 
8002 
8539 
9074 
9610 
0144 
0678 
1211 
1743 



3199 
3741 
4283 
4824 
5364 
5904 
6443 
6981 
7519 
8056 



2818 
3373 
3928 
4482 
5036 
5588 
6140 
6692 
7242 



1042 
1613 
2183 
2752 
3321 
3888 
4455 
5022 
5587 
6152 
6716 
7280 
7842 
8404 
8965 
9526 
..86 
0645 
1203 
1760 



2317 
2873 
3429 
3984 
4538 
5091 
5644 
6195 
6747 
7297 



7792 
8341 
8890 
9437 
9985 
0,531 
1077 
1622 
2166 
2710 



8592 
9128 
9663 
0197 
0731 
1264 
1797 
22751 2328 
2806 2859 



3253 
3795 
4337 

4878 
5418 
5958 
6497 
7035 
7573 
8110 



1099 
1670 
2240 
2809 
3377 
3945 
4512 
5078 
5644 
6209 



6773 
7336 
7898 
8460 
9021 
9582 
.141 
0700 
1259 
1816 



7847 
8396 
8944 
9492 
..39 
0586 
1131 
1676 
2221 
2764 



9181 
9716 
0251 
0784 
1317 
1850 
2381 
2913 



32841 33371 3390 3443 



3307 
3849 
4391 
4932 
5472 
6012 
6551 
7089 
7626 
8163 



2373 
2929 
3484 
4039 
4593 
5146 
.5699 
6251 
6802 
7352 



1156 
1727 
2297 
2866 
3434 
4002 
4569 
5135 
5700 
6265 



7392 
7955 
8516 
9077 
9638 
.197 
0756 
1314 
1872 



1213 
1784 
2354 
2923 
3491 
4059 
4625 
5192 
5757 
6321 



7902 

8451 

8999 

9547 

..94 

0640 

1 

1731 

2275 

2818 



2429 
2985 
3540 
4094 
4648 
5201 
5754 
6306 
6857 
7407 



6885 
7449 
8011 
8573 
9134 
9694 
.253 
0812 
1370 
1928 
2484 
3040 
3595 
4150 
4704 
5257 
5809 
6361 
6912 
7462 



3361 
3904 
4445 
4986 
5526 
6066 
6604 
7143 
7680 
8217 



9235 
9770 
0304 
0838 
1371 
1903 
2435 
2966 



8753 
9289 
9823 
0358 
0«91 
1424 
1956 
2488 
3019 



7957 
8506 
9054 
9602 
.149 
0695 
1240 
1785 
2329 
2873 



1271 
1841 
2411 
2980 
3548 
4115 
4€82 
5248 
5813 
6378 



6942 
7505 
8067 
8629 
9190 
9750 



1426 
1983 



8012 
8561 
9109 
9656 
.203 
0749 
1295 
1840 
2384 
2927 



3416 
3958 
4499 
5040 
5580 
6119 
6658 
7196 
7734 
8*270 



8807 
9342 
9877 
0411 
0944 
1477 
2009 
2541 
3072 



3470 
4012 
4553 
5094 
5634 
6173 
6712 
7250 
7787 
8324 



2540 
3096 
3651 
4205 
4759 
5312 
5864 
6416 
6967 
7517 



1328 
1898 
2468 
3037 
3605 
4172 
4739 
5305 
5870 
6434 



6998 
7561 
8123 
8685 
9246 
9806 
.365 
0924 
1482 
2039 
2595 
3151 
3706 
4261 
4814 
5367 
5920 
6471 
7022 
7572 



8067 
8615 
9164 
9711 
.258 
0804 
1349 
1894 
2438 
2981 



3524 
4066 
4607 
5148 
5688 
6227 
6766 
7304 
7841 
8378 



9396 
9930 
0464 
0998 
1530 
2063 
2594 
3125 



8914 
9449 
9984 
0518 
1051 
1584 
2116 
2647 
3178 



8122 
8670 
9218 
9766 
.312 
0859 
1404 
1948 
2492 
3036 



36551 3708 



3578 
4120 
4661 
5202 
5742 
6281 
6820 
7358 
7895 
8431 
8967 
9503 
..37 
0571 
1104 
1637 
2169 
2700 
3231 
3761 



57 
57 
57 
57 
57 
57 
57 
57 
57 
_06 
56 
56 
56 
56 
56 
56 
56 
56 



56 
56 
55 
55 
55 
55 
55. 
55 
_55 
55 
55 
55 
55 
55 
55 
55 
54 
54 
_54 
54 
54 
54 
54 
54 
54 
54 
54 
54 
54 
54 
54 
53 
53 
53 
53 
53 
53 
53 
53 



N. i I 1 



5 I 6 I 7 I 



T^ 



14 



A TABLE OP LOGARITHMS FROM 1 TO 10,000. 



N. 


1 |l!2|3|4i5|6|7|8|9|D. 




820 


913814, 38671 392( 


3973i 4-0261 4079i 4132: 4l84i 4237f 42901 53 




821 


434£ 


43961 444£ 


4502 


4555 4608 


4660 47131 47661 4819i 53 




822 


4872 


492f 


497^ 


503( 


50831 5136 


5189 524 


5294 5347 53 




8aa 


540( 


545r 


550f 


555t 


561 


566^ 


5716 57691 5822| 587.'= 


53 




824 


5927 


598( 


603;- 


6085 


6i;^f- 


6191 


624S 


6296 6349 6401 


53 




825 


645< 


6507 


655! 


6612 


666' 


6717 


67701 68221 6875| 692' 


53 




826 


698( 


703; 


7085 


7138 


71 9C 


724J 


729? 


7348 


740f 


745? 


53 




827 


7506 


755t 


761] 


766S 


771fc 


7768 


782( 


787? 


792.'i 


7978 


52 




828 


803C 


huh:- 


81H5 


818,^ 


H24( 


829:- 


834.'i 


8;w7 


845( 


8502 


52 




829 
830 


8555 


8607 
9130 


8659 
9183 


8712 
9235 


8764 
928? 


8816 
9340 


8869 
9392 


8921 
9444 


8973 
9496 


9026 
9,549 


52 

52 




919078 




831 


9001 


965.^ 


9706 


9758 


981( 


9862 


99K 


996? 


..19 


..71 


52 




832 


920123 


0176 


022S 


0280 


0332 


0384 


0436 


04atf 


0541 


0593 


52 




833 


0645 


0697 


074« 


0801 


085i 


0906 


095f 


lOU 


1062 


1114 


52 




834 


1166 


121^ 


1270 


i;«2 


1374 


1426 


1478 


i5:^( 


1.582 


16.34 


5^ 




835 


1686 


1 738 


1790 


1842 


1894 


1946 


1998 


205f 


2102 


21,54 


52 




836 


2206 


2258 


2310 


2362 


24H 


2466 


2518 


257(: 


2622 


2674 


52 




837 


2725 


2777 


2829 


2881 


29;^;^ 


2985 


3037 


308fi 


3140 


3192 


52 




838 


3244 


3296 


3348 


3399 


;W5i 


3503 


3555 


3607 


36,58 


3710 


52 




839 
840 


3762 


3814 
4331 


3865 
4383 


3917 
4434 


3969 
4486 


4021 
4538 


4072 
4589 


4124 
4641 


4176 
4693 


4228 


52 
52 




924279 


4744 




841 


4796 


4848 


4899 


4951 


5003 


5054 


5106 


5157 


,5209 


,5261 


52 




842 


5312 


5364 


5415 


5467 


5518 


5570 


.5621 


.5673 


5725 


5776 


52 




843 


5828 


5879 


5931 


5982 


60;34 


6085 


6137 


6188 


6240 


6291 


51 




844 


6342 


6394 


6445 


6497 


6548 


6600 


6651 


6702 


67,54 


6805 


51 




845 


6857 


6908 


6959 


7011 


7062 


7114 


7165 


7216 


7268 


7319 


51 




846 


7370 


7422 


7473 


7524 


7576 


7627 


7678 


7730 


7781 


7832 


51 




847 


7883 


7935 


7986 


8037 


8088 


8140 


8191 


8242 


8293 


8345 


51 




848 


8396 


8447 


8498 


8549 


8601 


8652 


8703 


8754 


8805 


8857 


51 




849 
850 


8908 


8959 
9470 


9010 
9521 


9061 
9572 


9112 
9623 


9163 
9674 


9215 
9725 


9266 
9776 


9317 

9827 


9368 
9879 


51 
51 




929419 




851 


9930 


9981 


..;^2 


,.83 


.i;w 


.185 


.236 


.287 


.;W8 


.:i89 


51 




852 


930440 


0491 


0542 


0592 


0643 


0694 


0745 


0796 


0847 


0898 


51 




853 


0949 


1000 


1051 


1102 


1153 


1204 


12.54 


1305 


13,56 


1407 


51 




854 


1458 


1509 


1560 


1610 


1661 


1712 


1763 


1814 


1865 


1915 


51 




855 


1966 


2017 


2068 


2118 


2169 


2220 


2271 


2322 


2372 


2423 


51 




856 


2474 


2524 


2575 


2626 


2677 


2727 


2778 


2829 


2879 


2930 


51 




857 


2981 


3031 


3082 


3i;« 


3183 


3234 


3285 


3335 


3386 


3437 


51 




858 


3487 


3538 


J1589 


3639 


:!690 


3740 


3791 


3841 


;i892 


3943 


51 




859 
860 


3993 


4044 


4094 
4599 


4145 
4650 


4195 
4700 


4246 
4751 


4296 
4801 


4347 
4852 


4397 
4902 


4448 
4953 


51 
.50 




934498 


4549 




861 


6003 


5054 


5104 


5154 


5205 


5255 


5306 


5356 


5406 


,5457 


50 




862 


5507 


5558 


5608 


5658 


5709 


5759 


5809 


5860 


5910 


.5960 


50 




863 


6011 


6061 


6111 


6162 


6212 


6262 


6313 


6363 


6413 


6463 


50 




864 


6514 


6564 


6614 


6665 


6715 


6765 


6815 


6865 


6916 


6966 


50 




fi65 


7016 


7066 


7117 


7167 


7217 


7267 


7317 


7367 


7418 


7468 


50 




866 


7518 


7568 


7618 


7668 


7718 


7769 


7819 


7869 


7919 


7969 


50 




867 


8019 


8069 


8119 


8169 


8219 


8269 


8320 


8370 


8420 


8470 


50 




868 


8520 


8570 


8620 


8670 


8720 


8770 


8820 


8870 


8920 


8970 


50 




869 


9020 


9070 


9120 


9170 


9220 


9270 


9320 


9369 


9419 


9469 


50 




870 


939519 


9569 


9619 


9669 


9719 


9769 


9819 


9869 


9918 


9968 


"50 




871 


940018 


0068 


0118 


0168 


0218 


0267 


0317 


0367 


0417 


0467 


50 




872 


0516 


0566 


0616 


0666 


0716 


0765 


0815 


0865 


0915 


0964 


50 




873 


1014 


1064 


1114 


1163 


i2ia 


1263 


1313 


1362 


1412 


1462 


50 




874 


1511 


1561 


1611 


1660 


1710 


1760 


1809 


1859 


1909 


19,58 


50 




875 


2008 


2058 


2107 


2157 


2207 


2256 


2306 


2355 


2405 


2455 


50 




876 


2504 


2554 


2603 


2653 


2702 


2752 


2801 


2851 


2901 


2950 


,50 




877 


3000 


3049 


3099 


3148 


3198 


3247 


3297 


3346 


:^396 


34451 


49 




878 


3495 


3544 


3593 


3643 


3692 


3742 37911 


3841 


3890 


.?939 


49 




879 


3989 


4038 4088' 41371 


4186 42361 4285' 43351 


4334 4433 49 ( 




"nT" 


|l|2|3|4|5'6|7|8'9iD. 1 









A TABLE OF LOQAKITHMS FROM 1 


TO 10,000 




15 


•■' 


N. 1 |l|2t3t4|5|6|7|8|9|D. 1 




880 


944483 


4532 


4581 


4631 


4680 


4729 


4779 


4828 


4877 


4927 


49 




881 


4976 


5025 


5074 


5124 


517;^ 


5222 


5272 


5321 


5370 


.541(1 


49 




882 


5469 


5518 


,5567 


,5616 


,5665 


5715 


5764 


5813 


5862 


5912 


49 




883 


5961 


6010 


60,5S 


61 Oh 


61.57 


6207 


6256 


6306 


6354 


6403 


49 




884 


6452 


6501 


6,551 


660(1 


6649 


6698 


6747 


6796 


6845 


6894 


49 




885 


6943 


6992 


7041 


7090 


7140 


718t 


7238 


7287 


7336 


7385 


49 




886 


7434 


7483 


7532 


7581 


763(1 


7671, 


7728 


7777 


7826 


7875 


49 




887 


7924 


7973 


8022 


8070 


8119 


8168 


8217 


8266 


8315 


8364 


49 




888 


8413 


8462 


8511 


8,560 


S?609 


8657 


8706 


8755 


8804 


88.53 


49 




889 
890 


8902 


8951 
9439 


8999 
9488 


9048 
9,536 


9097 

9.585 


9146 


9195 
9683 


9244 
9731 


9292 
9780 


9341 


49 
"49 




949390 


96.34 


9829 




891 


9878 


9926 


9975 


..24 


..73 


.121 


.170 


.219 


.267 


.316 


49 




892 


950365 


0414 


0462 


0511 


0560 


0608 


0057 


0706 


0754 


08oa 


49 




893 


0851. 


0900 


0949 


0997 


1046 


1095 


1143 


1192 


1240 


12H9 


49 




894 


1338 


1386 


1435 


1483 


1,5,32 


1580 


1629 


1677 


1726 


1775 


49 




8P5 


1823 


1872 


1920 


196H 


2017 


2066 


2114 


2163 


2211 


2260 


48 




896 


2308 


2356 


2405 


2453 


2502 


2,550 


2599 


2647 


2696 


2744 


48 




897 


2792 


2841 


2889 


2938 


2986 


30,34 


3083 


3131 


3180 


3228 


48 




898 


3276 


3325 


3373 


3421 


3470 


,3518 


3566 


3615 


3663 


3711 


48 




899 
900 


3760 


3808 
4291 


3856 
4339 


3905 

4387 


3953 
4435 


4001 

4484 


4049 
4532 


4098 
4580 


4146 
4628 


4194 
4677 


48 
48 




954243 




901 


4725 


4773 


4821 


4869 


4918 


4966 


5014 


5062 


5110 


6158 


48 




902 


5207 


5255 


5303 


5351 


5399 


5447 


.5495 


5543 


5592 


5640 


48 




903 


5688 


5736 


5784 


,5832 


.5880 


,5928 


5976 


6024 


6072 


6120 


48 




904 


6168 


6216 


6265 


6313 


6361 


6409 


6457 


6505 


65,53 


6601 


48 




905 


6649 


6697 


6745 


6793 


6840 


6888 


6936 


6984 


7032 


7080 


48 




906 


7128 


7176 


7224 


7272 


7320 


7368 


7416 


7464 


7512 


7559 


48 




907 


7607 


7655 


7703 


7751 


7799 


7847 


7894 


7942 


7990 


8038 


48 




908 


8086 


8134 


8181 


8229 


8277 


8325 


8373 


8421 


8468 


8516 


48 




909 
910 


8564 


8612 
9089 


8659 
9137 


8707 
9185 


8755 
9232 


8803 


8850 
9328 


8898 
9375 


8946 
9423 


8994 
9471 


48 
48 




959041 


9280 




911 


9518 


9566 


9614 


9661 


9709 


9757 


9804 


9852 


9900 


9947 


48 


912 


9995 


..42 


..90 


.1,38 


.185 


.233 


.280 


.328 


..376 


.42;-! 


48 




913 


960471 


0518 


0566 


0613 


0661 


0709 


0756 


0804 


0851 


0899 


48 




914 


0946 


0994 


1041 


1089 


11.36 


1184 


1231 


1279 


1326 


1374 


47 




915 


1421 


1469 


1516 


1 563 


1611 


1 6,58 


1706 


17.53 


1801 


1848 


47 




916 


1895 


1943 


1990 


2038 


2085 


2132 


2180 


2227 


2275 


2322 


47 




917 


2369 


2417 


2464 


2511 


2559 


2606 


2653 


2701 


2748 


2795 


47 




918 


2843 


2890 


2937 


2985 


3032 


3079 


3126 


3174 


3221 


3268 


47 




919 
920 


3316 


3363 
3835 


3410 

3882 


3457 
3929 


3504 
3977 


3552 


3,^^99 
4071 


3646 


3693 
4165 


3741 

4212 


47 
47 




963788 


4024 


4118 




921 


4260 


4307 


4354 


4401 


4448 


4495 


4542 


4590 


4637 


4684 


47 




922 


4731 


4778 


4825 


4872 


4919 


4966 


,5013 


,5061 


5108 


51,55 


47 




923 


6202 


5249 


5296 


5343 


,5390 


5437 


5484 


,5.531 


5578 


5625 


47 




924 


6672 


5719 


5766 


,5813 


5860 


5907 


5954 


6001 


6048 


6096 


47 




925 


6142 


6189 


6236 


6283 


6329 


6376 


6423 


6470 


6517 


6564 


47 




926 


6611 


66.58 


6705 


6752 


6799 


6845 


6892 


6939 


6986 


7033 


47 




92V 


7080 


7127 


7173 


7220 


7267 


7314 


7361 


7408 


7454 


7601 


47 




928 


7548 


7595 


7642 


7688 


7735 


7782 


7829 


7875 


7922 


7969 


47 




929 
930 


8016 


8062 


8109 


8156 


8203 
8670 


8249 
8716 


8296 
8763 


8343 

8810 


8390 

8856 


8436 
8903 


47 

47 




968483 


8530 


8576 


8623 




931 


8950 


8996 


9043 


9090 


9136 


9183 


9229 


9276 


9323 


9369 


47 




932 


9416 


9463 


9509 


9,556 


9602 


9649 


9695 


9742 


9789 


9835 


47 




933 


9882 


9928 


9975 


..21 


..68 


.114 


.161 


.207 


.2,54 


.300 


47 




934 


970347 


0393 


0440 


0486 


0533 


0579 


0626 


0672 


0719 


0765 


46 




935 


0812 


0858 


0904 


0951 


(X997 


1044 


1090 


1137 


1183 


1229 


46 




936 


1276 


1322 


1369 


1415 


1461 


1,508 


1,5.54 


1601 


1647 


1693 


46 




937 


1740 


1786 


18,32 


1879 


1925 


1971 


2018 


2064 


2110 


21,57 


46 




938 


2203 


2249 


2295 


2342 


2388 


2434 


2481 


2,527 


2573 


2619 


46 


L»39 


2666 2712' 2768' 2804' 2851' 2897' 2943' 2389' 3035' 3082' 46 | 




■N, 1 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 I D. 1 



16 



A TABLir OF I/OGARITKMS FROM 1 TO 10,000. 



N. 1 


|l|2|3|4l5|6|7|8|9lD. ( 


940 


973128 


3174 32201 


3266 33131 33591 34051 


3451 34971 


3543 


46 


941 


3590 


3636 36821 


3728 


3774 38201 3866| 


3913 39591 


4005 


46 


.942 


4051 


4097 


4143 


4189 


4235 


4281 4327 


4374 


4420 


4466 


46 


943 


4512 


4558 


4604 


4650 


4696 


4742 4788 


4S34 


4880 


4926 


46 


944 


4972 


5018 


5064 


5110 


51.06 


5202 5248 


5294 


5340 


5386 


46 


945 


5432 


5478 


5524 


5570 


5616 


5562 5707 


5753 


5799 


5845 


46 


946 


5891 


5937 


5983 


6029 


6075 


6121 


6167 


6212 


6258 


6304 


46 


947 


6350 


6396 


6442 


6488 


6533 


657-9 


6625 


6671 


6717 


6763 


46 


948 


6808 


6854 


6900 


6946 


6992 


Y037 


7083 


7129 


7175 


7220 


46 


949 
950 


7266 


7312 
7769 


7358 
7815 


7403 

7861 


7449 
7906 


7495 
7952 


7541 
7998 


7586 
8043 


7632 
8089 


7678 
8135 


46 
46 


977724 


951 


8181 


8226 


8272 


8317 


8363 


8409 


8454 


8500 


8546 


8.591 


46 


952 


8637 


8683 


8728 


8774 


8819 


8865 


8911 


8956 


9002 


9047 


46 


953 


9093 


9 138 


9184 


9230 


9275 


9321 


9366 


9412 


9457 


9503 


46 


954 


9548 


9594 


9639 


9685 


9730 


9776 


9821 


9867 


9912 


99.58 


46 


955 


9800031 


0049 


0094 


0140 


0185 


0231 


0276 


0322 


0367 


0412 


45 


956 


0458 


0503 


0549 


0594 


0640 


0685 


0730 


0776 


0821 


0867 


45 


957 


0912 


0957 


1003 


1048 


1093 


1139 


1184 


1229 


1275 


1320 


45 


958 


1366 


1411 


1456 


1501 


1.547 


1.592 


16.37 


1683 


1728 


1773 


45 


959 
960 


1819 


1864 
2316 


1909 
2362 


1954 
2407 


2000 

24,52 


2045 
2497 


2090 
2543 


2135 

2,588 


2181 
2633 


2226 
2678 


45 
45 


982271 


961 


2723 


2769 


2814 


2859 


2904 


2949 


2994 


3040 


3085 


3130 


45 


962 


3175 


3220 


3265 


3310 


3356 


3401 


3446 


3491 


3536 


3581 


45 


963 


3626 


3671 


3716 


3762 


.3807 


3852 


3897 


3942 


3987 


4032 


45 


964 


4077 


4122 


4167 


4212 


4257 


4302 


4347 


4392 


4437 


4482 


45 


965 


4527 


4572 


4617 


4662 


4707 


4752 


4797 


4-842 


4887 


4932 


45 


966 


4977 


5022 


5067 


5112 


5157 


5202 


5247 


5292 


5337 


5382 


45 


967 


5426 


5471 


5516 


5561 


5606 


5651 


5696 


5741 


5786 


5830 


45 


968 


5875 


5920 


5965 


6010 


6055 


6100 


6144 


6189 


6234 


6279 


45 


969 
970 


6324 


6369 
6817 


6413 
6861 


6458 
6906 


6503 


6548 
6996 


6593 
7040 


6637 
7085 


6682 
7130 


6727 


45 
45 


986772 


6951 


7175 


971 


7219 


7264 


7309 


7353 


7398 


7443 


7488 


7532 


7577 


7622 


45 


972 


7666 


7711 


7756 


7800 


7845 


7890 


79.34 


7979 


8024 


8068 


45 


973 


8113 


8157 


8202 


8247 


8291 


8336 


8381 


8425 


847(1 


8514 


45 


974 


8559 


8604 


8648 


8693 


8737 


8782 


8826 


8871 


8916 


8960 


45 


975 


9005 


9049 


9094 


9138 


9183 


9227 


9272 


9316 


9.361 


9405 


45 


976 


9450 


9494 


9539 


9583 


9628 


9672 


9717 


9761 


9806 


9850 


44 


977 


9895 


9939 


9983 


..28 


..72 


.117 


.161 


.206 


.2.5C 


.29^ 


44 


978 


990339 


0383 


0428 


0472 


0516 


0561 


0605 


065r 


0694 


073!r 


44 


979 
980 


0783 


0827 
1270 


0871 
1315 


0916 
13.59 


0960 
1403 


1004 
1448 


1049 
1492 


1093 
1,536 


1137 
1.580 


1182 
1625 


44 
44 


991226 


981 


1669 


nu 


1758 


180? 


1846 


I89r 


1935 


1979 


2023 


2067 


44 


982 


2111 


2156 


2200 


2244 


2288 


2333 


2377 


2421 


2465 


2509 


44 


y«3 


2554 


259)- 


2642 


2686 


273(; 


2774 


2819 


2863 


2907 


295 i 


44 


984 


2995 


303C 


3083 


3127 


3172 


.3216 


3260 


330^ 


3.348 


3392 


44 


985 


3436 


3480 


3524 


3568 


3613 


3657 


3701 


3745 


3789 


383! 


44 


9H6 


3877 


3921 


3965 


4009 


4053 


4097 


4141 


4185 


4229 


427; 


44 


987 


4317 


4361 


4405 


444' 


4493 


4537 


4581 


4625 


4669 


47i; 


44 


98y 


4757 


480] 


4845 


4889 


493? 


4977 


.5021 


.5065 


5108 


51.52 


44 


989 
990 


5196 


5240 
5679 


5284 
5723 


5328 
5767 


5372 

.5811 


5416 

58.54 


5460 

5898 


5504 
5942 


5547 
5986 


5591 
603C 


44 
44 


995635 


991 


6074 


6117 


6161 


620.^ 


6249 


6293 


6337 


6.38( 


6424 


646fc 


44 


992 


6512 


6555 


659f 


664.^^ 


6687 


6731 


677-^ 


6818 


6862 


690t 


44 


993 


694' 


699; 


7037 


708( 


712^ 


71 6f 


7212 


725,'i 


7299 


734;- 


44 


994 


7386 


743{ 


747^ 


751- 


7561 


7605 


7648 


7692 


7736 


777r 


44 


995 


7823 


7867 


791( 


795' 


7998 


8041 


8085 


812fi 


8172 


821 ( 


44 


996 


825i 


83o:j 


8347 


839( 


843' 


8477 


8.521 


856' 


860S 


86.5'. 


44 


997 


8695 


873f 


8782 


882f 


886C 


8913 


895P 


900r 


904S 


908' 


44 


998 


913 


917' 


9218 


926 


930."= 


93481 939S 


943£ 


947fl 


9522 


44 


999 


956f 


960t 


96521 969f 


97391 97831 9826 


98701991? 


9957 


43 


N. 


1 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 D. 1 



ATABLE 

OF 

LOGARITHMIC 
SIN£S AND TANGENTS, 

FOB ETEBV 

DEGREE AND MINUTE 

OF THE QUADRAJfT. 



N.B. The minutes in the left-hand column of each page». 
increasing downwards, belong to the degrees at the top ; and 
those increasing upwards, in the right-hand column, belong to 
the degrees below. 



m 


(0 Degree.) a table of LOGARirHJBnrc 




T 


Sine 1 D. 


Cosine 1 D. | 


Tang. 1 D. 


Cotang. 1 f 


-Q- 


0.000000 




10.000000 




0.000000 




Inniiite. 


"60 


1 


6.463726 


501717 


OOOOOO 


00 


6.463726 


501717 


13.536274 


59 


2 


764756 


293485 


000000 


00 


764756 


393483 


235244 


58 


3 


940847 


208231 


OOOOOO 


00 


940847 


208231 


059153 


57 . 


4 


7.065786 


161517 


OOOOOO 


00 


7.065786 


161517 


12.934214 


56 


5 


162696 


131968 


OOOOOO 


00 


162696 


131969 


837304 


55 


6 


241877 


111575 


9.999999 


01 


241878 


111578 


758122 


54 


7 


308824 


96653 


999999 


01 


308825 


99653 


691175 


53 


8 


366816 


85254 


999999 


01 


366817 


85254 


633183 


52 


9 


417968 


76263 


999999 


01 


417970 


76263 


582030 


51 


10 

11 


463725 


68988 


999998 


01 
01 


463727 


68988 


536273 


50 
49 


7.505118 


62981 


9.999998 


7.505120 


62981 


12.494880 


12 


542906 


57936 


999997 


01 


542909 


57933 


457091 


48 


13 


577668 


53641 


999997 


01 


577672 


53642 


422328 


47 


14 


609853 


49938 


999996 


01 


609857 


49939 


390143 


46 


15 


639816 


46714 


999996 


01 


639820 


46715 


360180 


45 


16 


667845 


43881 


999995 


01 


667849 


43882 


332151 


44 


17 


694173 


41372 


999995 


01 


694179 


41373 


305821 


43 


18 


718997 


39135 


999994 


01 


719003 


39136 


280997 


42 


19 


742477 


37127 


999993 


01 


742484 


37128 


257516 


41 


20 
31 


764754 


35315 


999993 


01 
01 


764761 


35136 


235239 


40 
39 


7.785943 


33672 


9.999992 


7.785951 


33673 


12.214049 


22 


806146 


32175 


999991 


01 


8061,55 


32176 


193845 


38 


23 


825451 


30805 


999990 


01 


825460 


30806 


174540 


37 


24 


843934 


29547 


999989 


02 


843944 


29549 


156056 


36 


25 


861662 


28388 


999988 


02 


861674 


28390 


138326 


35 


26 


878695 


27317 


999988 


02 


878708 


27318 


121292 


34 


27 


895085 


26323 


999987 


02 


895099 


26325 


104901 


33 


28 


910879 


25399 


999986 


02 


910894 


25401 


089106 


32 


29 


926119 


24538 


999985 


02 


926134 


24540 


073866 


31 


30 
31 


940842 


23733 


999983 


02 
02 


940858 


23735 


059142 


30 
29 


7.955082 


22980 


9.999982 


7.9.55100 


22981 


12.044900 


32 


968870 


22273 


999981 


02 


968889 


22275 


031111 


28 


33 


982233 


21608 


999980 


02 


982253 


21610 


017747 


27 


S4 


995198 


20981 


999979 


02 


995219 


20983 


004781 


26 


35 


8.007787 


20390 


999977 


02 


8.007809 


20392 


11.992191 


25 


36 


020021 


19831 


999976 


02 


020045 


19833 


979955 


24 


37 


031919 


19302 


999975 


02 


031945 


19305 


968055 


23 


38 


043501 


18801 


999973 


02 


043527 


18803 


956473 


22 


39 


054781 


18325 


999972 


02 


054809 


18327 


945191 


21 


40 
41 


065776 


17872 


999971 


02 
02 


065806 
8.076531 


17874 
17444 


934194 


20 
19 


8.076500 


17441 


9.999969 


11.923469 


42 


086965 


17031 


999968 


02 


086997 


17034 


913003 


18 


43 


097183 


16639 


999966 


02 


097217 


16642 


902783 


17 


44 


107167 


16265 


999964 


03 


107202 


16268 


892797 


16 


45 


116926 


15908 


999963 


03 


116963 


15910 


883037 


15 


46 


126471 


15566 


999961 


03 


126510 


15568 


873490 


14 


47 


135810 


15238 


999959 


03 


13.5851 


15241 


864149 


13 


48 


144953 


14924 


999958 


03 


144996 


14927 


855004 


12 


49 


153907 


14622 


999956 


03 


153952 


14627 


846048 


11 


3J 
51 


162681 


14333 


999954 


03 
03 


162727 


14336 


837273 


10 
9 


8.171280 


14054 


9.999952 


8.171328 


14057 


11.828672 


52 


179713 


13786 


999950 


03 


179763 


13790 


82023? 


8 


53 


187985 


13529 


999948 


03 


188036 


13532 


811964 


7 


54 


196102 


13280 


999946 


03 


196156 


13284 


803844 


t 6 


55 


204070 


13041 


999944 


3 


204126 


13044 


795874 


5 


56 


211895 


, 12810 


999942 


4 


211953 


12814 


78804'- 


4 


57 


219581 


12587 


9«9940 


04 


219641 


1259C 


78035£ 


3 


58 


227134 


12372 


999938 


04 


227195 


1237e 


77280£ 


2 


59 


234557 


12164 


999936 


04 


234621 


1216S 


76537£ 


1 


60 


241855 


1196S 


r 999934 


04 


241921 


11967 


75807' 


^ 



Cotang. I 



Degrees. 





81KES AND TANOENTS. (1 Degice.) 




19 


TT 


Sine 1 D. | 


Cosine 1 D. 


Tang. 1 D. j 


Cotang. 1 f 





8.241855 


11963 


9.999934 


OT 


8.241&21I 11967 1 


11.7580791 


60 


1 


249033 


11768 


999932 


04 


2491021 11772 | 


750898 


59 


2 


256094 


11.580 


999929 


04 


256165 


11584 


743835 


58 


3 


263042 


11398 


999927 


04 


263115 


11402 


736885 


57 


4 


269881 


11221 


999925 


04 


269956 


11225 


730044 


56 


5 


276614 


11050 


999922 


04 


276691 


11054 


723309 


55 


6 


283243 


10883 


999920 


04 


283323 


10887 


716677 


54 


7 


289773 


10721 


999918 


04 


289856 


10726 


710144 


53 


8 


296207 


10565 


999915 


04 


296292 


10570 


703708 


52 


9 


302546 


10413 


999913 


04 


302634 


10418 


697366 


51 


10 
11 


308794 
8.314954 


10266 


999910 


04 
04 


308884 


10270 


691116 
11.684954 


50 
49 


10122 


9.999907 


8.315046 


10126 


12 


321027 


9982 


999905 


04 


321122 


9987 


678878 


48 


13 


327016 


9847 


999902 


04 


327114 


9851 


672886 


47 


14 


332924 


9714 


999899 


05 


333025 


9719 


666975 


46 


15 


338753 


9586 


999897 


05 


338856 


9590 


661144 


45 


16 


344504 


9460 


999894 


05 


3446 ]0 


9465 


655390 


44 


17 


350181 


9338 


999891 


05 


350289 


9343 


649711 


43 


18 


355783 


9219 


999888 


05 


355895 


9224 


644105 


42 


19 


361315 


9103 


999885 


05 


361430 


9108 


638570 


41 


20 
21 


366777 


8990 


999882 


05 
05 


366895 


8995 


633105 


40 
39 


8.372171 


8880 


9.999879 


8.372292 


8885 


11.627708 


22 


377499 


8772 


999876 


05 


377622 


8777 


622378 


38 


23 


382762 


86&7 


999873 


05 


382889 


8672 


617111 


37 


24 


387962 


8564 


999870 


05 


388092 


8570 


611908 


36 


25 


393101 


8464 


999867 


05 


393234 


8470 


606766 


35 


26 


398179 


8366 


999864 


05 


398315 


8371 


601685 


34 


27 


403199 


8271 


999861 


05 


403338 


8276 


596662 


33 


28 


408161 


8177 


999858 


05 


408304 


8182 


591696 


32 


29 


413068 


8086 


999854 


05 


413213 


8091 


586787 


31 


30 
31 


417919 


7996 


999851 


06 
06 


418068 


8002 


581932 


30 
29 


8.422717 


7909 


9.999848 


8.422869 


7914 


11.577131 


32 


427462 


7823 


999844 


06 


427618 


7830 


572382 


28 


33 


432156 


7740 


999841 


06 


432315 


7745 


567685 


27 


34 


436800 


7657 


999838 


06 


436962 


7663 


563038 


26 


35 


441394 


7577 


999834 


06 


441560 


7583 


558440 


25 


36 


445941 


7499 


999831 


06 


446110 


7505 


553890 


24 


37 


450440 


7422 


999827 


06 


450613 


7428 


549387 


23 


38 


454893 


7346 


999823 


06 


455070 


7352 


544930 


22 


39 


459301 


7273 


999820 


06 


459481 


7279 


540519 


21 


40 
41 


463665 
8.467985 


7200 


999816 
9.999812 


06 
06 


463849 
8.468172 


7206 


536151 


20 
19 


7129 


7135 


11.531828 


42 


472263 


7060 


999809 


06 


472454 


7066 


527546 


18 


43 


476498 


6991 


999805 


06 


476693 


6998 


523307 


17 


44 


480693 


6924 


999801 


06 


480892 


6931 


519108 


16 


45 


484848 


6859 


999797 


07 


485050 


6865 


514950 


15 


46 


488963 


6794 


999793 


07 


489170 


6801 


510830 


14 


47 


493040 


6731 


999790 


07 


493250 


6738 


506750 


13 


48 


497078 


6669 


999788 


07 


497293 


6676 


502707 


12 


49 


501080 


6608 


999782 


07 


501298 


6615 


498702 


11 


50 

51 


505045 


6548 


999778 


07 
07 


505267 
8.509200 


6555 


494733 


10 
9 


8.508974 


6489 


9.999774 


6496 


11.490800 


52 


512867 


6431 


999769 


07 


513098 


6439 


486902 


8 


53 


516726 


6375 


999765 


07 


516961 


6382 


483039 


7 


54 


520551 


6319 


999761 


0- 


5207Pfl 


6326 


479210 


6 


55 


52434? 


6264 


999757 


07 


5245i^ 


6272 


475414 


5 


56 


52810S 


6211 


999753 


07 


528349 


6218 


471651 


4 


57 


531828 


6158 


999748 


0- 


532080 


6165 


467920 


3 


58 


53552S 


6106 


999744 


0^ 


535779 


6113 


464221 


2 


59 


539181 


6055 


999740 


0" 


539447 


6062 


460553 


1 


60 


,54281s 


6004 


99973P 


0- 


n 543084 


6012 


456910 






( \ Cotang. I 
tfS Degrees. 



Tang. I .M, 



so 


( 


2 Degr 


ees.) A 


TABLE OF LOGARITHMIC 






^ 


1 Sine 1 D. 


1 Cosine 1 D. 


1 Tang. i D. 


1 Cotanc 


1_ 




"o 


8. 5428 U 


) 6004 


9.999735 


07 


8,5430841 6012 


11.45691t 


00 




1 


54642S 


5955 


•^999731 


07 


54669 


5962 


453309 


59 




3 


54999£ 


5906 


999726 


07 


550266 


5914 


449732 


58 




3 


55353c 


5858 


999722 


oa 


5538171 5866 


446183 


57 




4 


557054 


5811 


999717 


08 


557336 


5819 


442664 


56 




5 


56054C 


5765 


999713 


08 


560828 


5773 


439172 


55 




6 


56399S 


5719 


999708 


08 


564291 


5727 


435709 


54 




7 


567431 


5674 


999704 


08 


567727 


5682 


432273 


53 




8 


570836 


5630 


999699 


08 


571137 


5638 


428863 


52 




9 


574214 


5587 


999694 


08 


574520 


5595 


425480 


51 




10 
11 


57756b 


5544 


999689 


08 
08 


577877 


5552 


422123 


50 

49 




8.580892 


5502 


9.999685 


8.581208 


5510 


11.418792 




12 


584193 


5460 


999680 


08 


584514 


5468 


415486 


48 




13 


587469 


5419 


999675 


08 


587795 


5427 


412205 


47 




14 


590721 


5379 


999670 


08 


591051 


5387 


408949 


46 




15 


593948 


5339 


999665 


08 


594283 


5347 


405717 


45 




16 


597152 


5300 


999660 


08 


597492 


5308 


402508 


44 




IT 


600332 


5261 


999655 


08 


600677 


5270 


399323 


43 




18 


603489 


5223 


999650 


08 


603830 


5232 


396161 


42 




19 


606623 


5186 


999645 


09 


606978 


5194 


393022 


41 




20 
21 


609734 


5149 


999640 


09 
09 


610094 
8.613189 


5158 


389906 


40 
39 




8.612823 


5112 


9.999035 


5121 


11.386811 




22 


615891 


5076 


999629 


09 


616262 


5085 


383738 


38 




23 


618937 


5041 


999624 


09 


619313 


5050 


380687 


37 




24 


621962 


5006 


999619 


09 


622343 


5015 


377657 


36 




25 


624965 


4972 


999G14 


09 


625352 


4981 


374648 


35 




26 


627948 


4938 


999608 


09 


628340 


4947 


371660 


34 




27 


630911 


4904 


999603 


09 


631308 


^913 


368692 


33 




28 


633854 


4871 


999597 


09 


634256 


4880 


365744 


32 




29 


636776 


4839 


999592 


09 


637184 


4848 


362816 31 




30 
31 


639680 
8.642563 


4806 

4775 


999586 
9.999581 


09 
09 


640093 
8.642982 


4816 


359907 30 
11.357018- 29 




4784 




32 


645428 


4743 


999575 


09 


645853 


4753 


354147 


28 




33 


648274 


4712 


999570 


09 


648704 


4722 


35129G 


27 




34 


651102 


4682 


999564 


09 


651537 


4691 


348463 


26 




35 


653911 


4652 


999558 


10 


654352 


4661 


345648 


25 




36 


656702 


4622 


999553 


10 


657149 4631 


342851 


24 




37 


659475 


4592 


999547 


10 


659928 4602 


340072 


23 




33 


662230 


4563 


999541 


10 


662689 4573 


337311 


22 




39 


664968 


4535 


999535 


10 


665433 


4544 


3.34567 


21 




40 
41 


667689 


4506 


999529 
9.999524 


10 
10 


668160 


4526 


331840 


20 
19 




8.670393 


4479' 


8.670870 


4488 


11.329130 




42 


673080 


4451 


999518 


10 


673563 


4461 


326437 


18 




43 


675751 


4424 


999512 


10 


676239 


4434 


323761 


17 




44 


678405 


4397 


999506 


10 


678900 


4417 


321100 


16 




45 


681043 


4370 


999500 


10 


681544 


4380 


318456 


15 




46 


683665 


4344 


999493 


10 


684172 


4354 


315828 


14 




47 


686272 


4318 


999487 


10 


686784 


4328 


313216 


13 




48 


688863 


4292 


999481 


10 


689381 


4303 


310619 


12 




49 


691438 


4267 


999475 


10 


691963 


4877 


308037 


11 




50 
51 


693998 
8.696543 


4243 


999469 
9.999463 


10 

11 


694529 


4252 


305471 


10 
9 




4217 


8.697081 


4228 


11.302919 




52 


699073 


4192 


999456 


11 


699617 


4203 


300383 


8 




53 


701589 


4168 


999450 


11 


702139 


4179 


297861 


7 




54 


704090 


4144 


999443 


11 


704646 


41-55 


295354 


6 




55 


706577 


4121 


999437 


11 


707140 


4132 


292860 


5 




56 


709049 


4097 


999431 


11 


709618 


4108 


290382 


4 




57 


711507 


4074 


999424 


11 


712083 


4085 


2.87917 


3 




58 


713952 


4051 


999418 


11 


714534 


4062 


285465 


2 . 


59 


716383 


4029 


999411 


11 


716972 


4040 


283028 


1 


60' 


718800 


4006 1 


999404 1 


11 


719396 


4017 


280604 01 




■~T 


Cosine 1 1 


S.ne 1 1 


Cotaiie. 1 1 


Tang. |m7(: 



ST Dcgieea. 







SINES AND i-ANGENTs. (3 Degrees.) 




21 




M. 


Sine 1 D. j 


Cosine 1 D. | 


Tana. 1 O. 1 


Cotang. 







8.718800 4006 1 


9.999404 


11 


8.719396] 


4017 


11.280604 60 ! 




1 


721204 3984 1 


999398 


11 


721806 


3995 


278194 59 ; 




2 


723595 


3962 


999391 


11 


724204 


3974 


275796 


58 




3 


725972 


3941 


999.384 


11 


726588 


3952 


273412 


57 




4 


728337 


3919 


999378 


11 


728959 


3930 


271041 


56 




5 


730688 


3898 


999371 


11 


731317 


3909 


268683 


55 




6 


733027 


3877 


999364 


12 


733663 


3889 


266337 


54 




7 


735354 


3857 


999357 


12 


735996 


3868 


264004 


53 ; 




8 


737607 


3836 


999350 


12 


738317 


3848 


261683 


52 i 




9 


739969 


3816 


999343 


12 


740626 


3827 


259374 


51 




10 


742259 


3796 


999336 


12 


742922 


3807 


257078 


50 




11 


8.744536 


3776 


9.999329 


12 


8.745207 


3787 


11.254793 


49 




12 


746802 


3756 


999322 


12 


747479 


3768 


252521 


48 




13 


749055 


3737 


999315 


12 


749740 


3749 


250260 


47 




14 


751297 


3717 


999308 


12 


751989 


3729 


248011 


46 




15 


753528 


3698 


999301 


12 


754227 


3710 


245773 


45 




16 


755747 


3679 


999294 


12 


756453 


3692 


243547 


44 




17 


757955 


3661 


999286 


12 


758668 


3673 


241332 


43 




18 


760151 


3642 


999279 


12 


760872 


3655 


239128 


42 




19 


762337 


3624 


999272 


12 


763065 


3636 


236935 


41 




20 
21 


' 764511 


3606 


999265 
9.999257 


12 
12 


765246 
8.767417 


3618 


234754 


40 
39 




8.766675 


3588 


3600 


11.232583 




22 


768828 


3570 


999250 


13 


769578 


3583 


230422 


38 




23 


770970 


3553 


999242 


13 


771727 


3565 


228273 


37 




24 


773101 


3535 


999235 


13 


773866 


3548 


226134 


36 




25 


775223 


3518 


999227 


13 


775995 


3531 


224005 


35 




26 


777333 


3501 


999220 


13 


778114 


3514 


221886 


34 




27 


779434 


3484 


999212 


13 


780222 


3497 


219778 


33 




28 


781524 


3467 


999205 


13 


782320 


3480 


217680 


32 




29 


783605 


3451 


999197 


13 


784408 


3464 


215592 


31 




30 
31 


785675 


3431 


999189 


13 
13 


786486 


3447 


213514 


30 
29 




8.787736 


3418 


9.999181 


8.788554 


3431 


11.211446 




32 


789787 


3402 


999174 


13 


790613 


3414 


209387 


28 




33 


791828 


3386 


999166 


13 


792662 


3399 


207338 


27 




34 


793859 


3370 


999158 


13 


794701 


3383 


205299 


26 




35 


795881 


3354 


999150 


13 


796731 


3368 


203269 


25 




36 


797894 


3339 


999142 


13 


798752 


3352 


201248 


24 




37 


799897 


3323 


999134 


13 


800763 


3337 


199237 


23 




38 


801892 


3308 


999126 


13 


802765 


3322 


197235 


22 




39 


803876 


3293 


999118 


13 


804758 


3307 


195242 


21 




40 
41 


805852 


3278 


999110 


13 
13 


806742 


3292 


193258 


20 
19 




8.807819 


3263 


9.999102 


8.808717 


3278 


11.191283 




42 


809777 


3249 


999094 


14 


810683 


3262 


189317 


18 




43 


811726 


3234 


999086 


14 


812641 


3248 


187359 


17 




44 


813667 


3219 


999077 


14 


814589 


3233 


185411 


16 




45 


815599 


3205 


999069 


14 


816529 


3219 


183471 


15 




46 


817522 


3191 


999061 


14 


818461 


3205 


181539 


14 




47 


819436 


3177 


999053 


14 


820384 


3191 


179616 


13 




48 


821343 


3163 


999044 


14 


822298 


3177 


177702 


12 




49 


823240 


3149 


999036 


14 


824205 


3163 


175795 


11 




50 

51 


825130 
8.827011 


3135 


999027 


14 
14 


826103 


3150 
3136 


173897 


10 
9 




3122 


9.999019 


8.827992 


11.172008 




52 


828884 


3108 


999010 


14 


829874 


3123 


170126 


8 




53 


83074C 


3095 


999002 


14 


831748 


3110 


168252 


7 




54 


83260' 


3082 


998993 


14 


833613 


3096 


166387 


6 




55 


834456 


3069 


998984 


14 


835471 


3083 


164529 


5 




56 


83529' 


3056 


998976 


14 


837321 


3070 


162679 


4 




57 


838 13( 


3043 


998967 


U 


839163 


3057 


160837 


3 




58 


83995f 


3030 


998955 


U 


840998 


3045 


159002 


2 




59 


84177^ 


t 3017 


99895C 


It 


842825 


3032 


157175 


I 




60 


1 84358f 


) 3000 


998941 


U 


844644 


3019 


155356 







— 


1 Cosine | 


1 Sine 1 


j Cotang. j 


Tang. |M.| 



86 Degrees. 



22 



(4 Degrees.) a tablk of logabithmic 



M. 


1 Sine 


1 D. 


1 Cosine 1 D. 


1 Tang. 1 D. 


1 Cotang. 1 




~o 


8.84358c 


3005 


9.998941 


15 


8.844644 


3019 


11.155356 


60 




1 


84538? 


2992 


998932 


15 


846455 


3007 


153545 


59 




2 


847189 


2980 


998923 


15 


848260 


2995 


151740 


58 




3 


848S71 


2P67 


998914 


15 


850057 


2982 


149943 


57 




4 


850751 


2955 


998905 


15. 


851846 


2970 


148154 


56 




6 


852525 


2943 


998896 




853628 


2958 


146372 


55 




6 


854291 


2931 


998887 




855403 


2946 


144597 


54 




7 


856049 


2919 


998878 




857171 


2935 


142829 


53 




8 


85780 1 


2907 


998869 




858932 


2923 


141068 


52 




9 


859546 


2896 


998860 




860686 


2911 


139314 


51 




10 
11 


861283 


2884 


998851 




862433 


2900 

2888 


137567 
11.135827 


50 
49 




8.863014 


2873 


9.998841 


8.864173 




12 


864738 


2861 


998832 




865906 


2877 


134094 


48 




13 


866455 


2850 


998823 




867632 


2866 


132368 


47 




14 


868165 


2839 


998813 




869351 


2854 


130649 


46 




16 


869868 


2828 


998804 




871064 


2843 


128936 


45 




Ifi 


871565 


2817 


998795 




872770 


2832 


127230 


44 




17 


873255 


2806 


998785 




874469 


2821 


125531 


43 




18 


874938 


2795 


998776 




876162 


2811 


123838 


42 




19 


876615 


2786 


998766 




877849 


2800 


122151 


41 




20 
21 


878285 
8.879949 


2773 


998757 




879529 


2789 


120471 


40 
39 




2783 


9.998747 


8.881202 


2779 


11.118798 




22 


881607 


2752 


998738 




882869 


2768 


117131 


38 




23 


883258 


2742 


998728 




884530 


2758 


115470 


37 




24 


884903 


2731 


998718 




886185 


2747 


113815 


36 




25 


886542 


2721 


998708 




887833 


2737 


112167 


35 




26 


888174 


2711 


998699 




889476 


2727 


110524 


34 




27 


889801 


2700 


998689 




891112 


2717 


108888 


33 




28 


891421 


2690 


998679 




892742 


2707 


107258 


32 




29 


893035 


2680 


998669 




894366 


2697 


105634 


31 




30 
31 


894643 


2670 


998659 




8959S4 


2687 


104016 


30 
29 




8.896246 


2660 


9.998649 


8.897596 


2677 


11.102404 




32 


897842 


2651 


998639 




899203 


2667 


100797 


28 




33 


899432 


2641 


998629 




900803 


2658 


099197 


27 




34 


901017 


2631 


998619 




902398 


2648 


097602 


26 




35 


902596 


2622 


998609 




903987 


2638 


096013 


25 




36 


904169 


2612 


998599 




905570 


2629 


094430 


24 




37 


905736 


2603 


998589 




907147 


2620 


092853 


23 




38 


907297 


2593 


998578 




908719 


2610 


091281 


22 




39 


908853 


2584 


998568 




910285 


2601 


089715 


21 




40 
41 


910404 


2575 


998558 
9.998548 




911840 
8.913401 


2592 


0881.54 


20 
19 




8.911949 


2566 


2583 


11.086.599 




42 


913488 


2556 


998537 




914951 


2574 


085049 


18 




43 


915022 


2547 


998527 




916495 


2565 


083505 


17 




44 


916550 


2538 


998516 




918034 


2556 


081966 


16 




45 


918073 


2529 


998506 




919568 


2547 


080432 


15 




46 


919591 


2520 


998495 




921096 


2538 


078904 


14 




47 


921103 


2512 


998485 




922619 


2530 


07738 1 


13 




48 


922610 


2503 


998474 




924136 


2521 


075864 


12 




49 


924112 


2494 


998464 




925649 


2512 


074351 


11 




50 

51 


925609 


2486 
24^7 


998453 
9.998442 




927156 


2503 


072844 


10 
"9 




8.927100 


8.9286.58 


2495 


11.071342 




62 


928587 


2469 


998431 




930165 


2486 


069845 


8 




53 


930068 


2460 


998421 




931647 


2478 


068353 


7 




54 


931544 


2452 


998410 




933134 


2470 


066866 


6 




55 


Q33015 


2443 


998399 




934616 


2461 


065384 


5 




56 


934481 


2435 


998388 




936093 


2453 


063907 


4 




57 


935942 


2427 


998377 




937565 


2445 


062435 


3 




88 


937398 


2419 


998366 




939032 


2437 


060968 


2 




59 


938850 


2411 


998355 




940494 


2430 


059506 


1 




60 


940296 


2403 


998344 




941952 


2421 


058048 







Zi 


Cosine 




Sine 1 


Cotang. 1 


Tang. 


W 




•!^F~" 






85B 


e^e 


is, 











i 







SINES AND TANOENTs. (5 Degrees.) 


29 




M. 


Sine 1 D. 


Cosine | D. 


1 Tatig. 1 D. 


1 Cotang. 1 




^ 


8.940296 


2403 


9.998344 


19 


8.941952 


2421 


11. 0580481 60 




1 


941738 


2394 


998333 


19 


943404 


2413 


056596 


59 




2 


943174 


2387 


998322 


19 


944S52 


2405 


055148 


58 




3 


944606 


2379 


998311 


19 


946295 


2397 


053705 


57 




4 


946034 


2371 


998300 


19 


947734 


2390 


052266 


56 




5 


947456 


2363 


998289 


19 


949168 


2382 


050832 


55 




f. 


948874 


2355 


998277 


19 


950597 


2374 


049403 


54 






950287 


2348 


998260 


19 


952021 


2366 


047979 


53 




8 


951696 


2340 


998255 


19 


953441 


2360 


046559 


52 




9 


953100 


2332 


998243 


19 


954856 


2351 


045144 


51 




10 
11 


954499 
8.955894 


2325 


998232 
9.998220 


19 
19 


956267 
8.957674 


2344 
2337 


043733 


50 
49 




2317 


11.042326 




12 


957284 


2310 


998209 


19 


959075 


2329 


040925 


48 




13 


958670 


2302 


998197 


19 


960473 


2323 


039527 


47 




14 


960052 


2295 


998186 


19 


961866 


2314 


038134 


46 




If' 


961429 


2288 


998174 


19 


963255 


2307 


036745 


45 




le 


962801 


2280 


998163 


19 


964639 


2300 


035361 


44 




17 


964170 


2273 


998151 


19 


966019 


2293 


033981 


43 




18 


965534 


2266 


998139 


20 


967394 


2286 


032606 


42 




19 


966893 


2259 


998128 


20 


968766 


2279 


031234 


41 




20 
21 


968249 


2252 


998116 


20 
20 


970133 
8.971496 


2271 


029867 


40 
39 




8.969600 


2244 


9.998104 


2265 


11.028504 




22 


970947 


2238 


998092 


20 


972855 


2257 


027145 


38 




23 


972289 


2231 


998080 


20 


974209 


2251 


025791 


37 




24 


973628 


2224 


998068 


20 


975560 


2244 


024440 


36 




25 


974962 


2217 


998056 


20 


976906 


2237 


023094 


35 




26 


976293 


2210 


998044 


20 


978248 


2230 


021752 


34 




27 


977619 


2203 


998032 


20 


979586 


2223 


020414 


33 




28 


978941 


2197 


998020 


20 


980921 


2217 


019079 


32 




29 


980259 


2190 


998008 


20 


982251 


2210 


017749 


31 




30 
31 


981673 


2183 


997996 
9.997984 


20 
20 


983577 


2204 


016423 


30 
29 




8.982883 


2177 


8.984899 


2197 


11.015101 




32 


984189 


2170 


997972 


20 


986217 


2191 


013783 


28 




33 


985491 


2163 


997959 


20 


987532 


2184 


012468 


27 




34 


986789 


2157 


997947 


20 


988842 


2178 


011158 


26 




35 


988083 


2150 


997935 


21 


990149 


2171 


009851 


25 




36 


989374 


2144 


997922 


21 


991451 


2165 


008549 


24 




37 


990660 


21.38 


997910 


21 


992750 


2158 


007250 


23 




38 


991943 


2131 


997897 


21 


994045 


2152 


005955 


22 




39 


993222 


2125 


997885 


21 


995337 


2146 


004663 


21 




40 
41 


994497 


2119 


997872 


21 

21 


996624 


2140 


003376 


20 
19 




8.995768 


2112 


9.997860 


8.997908 


2134 


11.002092 




42 


997036 


2106 


997847 


21 


999188 


2127 


000812 


18 




43 


998299 


2100 


997835 


21 


9.000465 


2121 


10.999535 


17 




44 


999560 


2094 


997822 


21 


001738 


2115 


998262 


16 




45 


9.000816 


2087 


997809 


21 


003007 


2109 


996993 


15 




46 


002069 


2082 


997797 


21 


004272 


2103 


995728 


14 




47 


003318 


2076 


997784 


21 


005534 


2097 


994466 


13 




48 


004563 


2070 


997771 


21 


006792 


2091 


993208 


12 




49 


005805 


2064 


997758 


21 


008047 


2085 


991953 


11 




50 
51 


007044 


2058 


997745 


21 

21 


009298 


2080 


990702 



9 




9.008278 


2052 


9.997732 


9.010546 


2074 


10.989454 




52 


009510 


2046 


997719 


21 


011790 


2068 


988210 


8 




53 


010737 


2040 


997706 


21 


013031 


2062 


986969 


7 




54 


011962 


2034 


997693 


22 


014268 


2056 


985732 


6 




55 


013182 


2029 


997680 


22 


015502 


2051 


984498 


5 




56 


014400 


2023 


997667 


22 


015 ?32 


2045 


983268 


4 




57 


015613 


2017 


997654 


22 


017959 2040 


982041 


3 




55 


016824 


2012 


997641 


22 


019133 2033 


980817 


2 




59 


018031 


2006 


997628 


22 


020403 2028 


979597 


1 




60 


0192351 2000 | 


997614 22 


021620! 2023 


978380 







^ 


Csine 1 1 


Sine 1 j 


Cotang. 1 1 


Tang. |M.j 





84 Degrees. 





24 


(6 Degrees.) a table of logakithmic 








TT 


Sine 1 


D. 


CoRinp 1 D. 1 


'I'ang. 1 


D. 1 


Cotaiig. 








=r 


9.019235 


2000 


9.997614 


22 


9.021620J 


2023 


10.978380 


60 






1 


020435 


1995 


997601 


22 


022834 


2017 


977166 


59 






2 


0216:<2 


1989 


997588 


22 


024044 


2011 


9759.56 


58 






S 


022825 


1984 


997574 


22 


025251 


2006 


974749 


57 






4 


024016' 


1978 


997561 


22 


026455 


2000 


973.545 


56 






5 


025203, 


1973 


997547 


22 


027655 


1995 


972345 


55 






6 


026386 


1967 


997534 


23 


028852 


1990 


971148 


54 






"7 


0275671 


1962 


997520 


23 


030046 


1985 


969954 


53 




8 


028744' 


19.57 


997507 


23 


031237 


1979 


968763 


52 




9 


029918' 


1951 


997493 


23 


032425 


1974 


f'67575 


51 




10 


0310891 


1947 


997480 


23 


033609 


1969 


966391 


50 






11 


9.032257; 


1941 


9.997466 


23 


9.034791 


1964 


10.965209 


49 






12 


033421 


1936 


997452 


23 


035969 


1958 


964031 


48 






13 


034582, 


1930 


997439 


23 


037144 


1953 


962856 


47 






14 


0357411 


1925 


997425 


23 


038316 


1948 


961684 


46 






15 


036896' 


1920 


997411 


23 


039485 


1943 


960515 


45 






16 


038048! 


1915 


997397 


23 


040651 


1938 


959349 


44 






17 


, 039197i 


1910 


997383 


23 


041813 


1933 


958187 


43 






18 


' 040342 


1905 


997369 


23 


042973 


1928 


957027 


42 






19 


041485! 


1899 


997355 


23 


044130 


1923 


955870 


41 






20 
21 


042625! 


1894 
1889 


997341 


23 

24 


045284 


1918 


954716 


40 
39 






9.043762! 


9.997327 


9.046434 


1913 


10.953566 






22 


0448951 


1884 


997313 


24 


047582 


1908 


952418 


38 






23 


046026 


1879 


997299 


24 


048727 


1903 


951273 


37 






24 


047154 


1875 


997285 


24 


049809 


1898 


950131 


36 






25 


048279 


1870 


997271 


24 


051008 


1893 


948992 


35 






26 


049400 


1865 


997257 


24 


0.52144 


1889 


947856 


34 






27 


050519 


1860 


997242 


24 


063277 


1884 


946723 


33 






28 


051635 


1855 


997228 


24 


054407 


1879 


945593 


32 






29 


052749 


1850 


997214 


24 


055535 


1874 


944465 


31 






30 
31 


053859 


1845 


997199 


24 
24 


056659 
9.0.57781 


1870 


943341 


30 
,29 






054966 


1841 


9.997185 


1865 


10.942219 






32 


056071 


1836 


997170 


24 


058900 


1869 


941100 


28 






33 


057172 


1831 


997156 


24 


060016 


1855 


939984 


27 






34 


058271 


1827 


997141 


24 


061130 


1851 


938870 


26 






35 


059307 


1822 


997127 


24 


062240 


1846 


937760 


26 






36 


060460 


1817 


997112 


24 


063348 


1842 


936652 


24 






37 


061551 


1813 


997098 


24 


064453 


1837 


935547 


23 






38 


062639 


1808 


997083 


25 


065556 


1833 


934444 


22 






39 


063724 


1804 


997068 


25 


066655 


1828 


933345 


21 






40 
41 


064806 


1799 


997053 


25 
25 


067752 


1824 


932248 


20 
19 






9.065885 


1794 


9.997039 


9.068846 


1819 


10.931154 






42 


066962 


1790 


997024 


25 


069938 


1815 


930062 


18 






43 


068036 


1786 


997009 


25 


071027 


1810 


928973 


17 






44 


069107 


1781 


996994 


25 


072113 


1806 


927887 


16 






45 


070176 


1777 


996979 


25 


073197 


1802 


926803 


15 






46 


071242 


1772 


996964 


25 


074278 


1797 


925722 


14 j 




47 


072306 


1768 


996949 


25 


075356 


1793 


924644 


13 






48 


073366 


1763 


996934 


25 


076432 


1789 


923568 


12 






49 


074424 


1759 


996919 


25 


077.505 


1784 


922495 


11 






50 
51 


075480 


1755 
1750 


996904 


25 
25 


! 078576 


1780 


921424 


10 






9.076533 


9.996889 


'9.079644 


1776 


10.920356 


"^S 




52 


077583 


1746 


996874 


25 


G80710 


1772 


919290 


el 




53 


078031 


1742 


9968.58 


25 


! 081773 


1767 


918227 








64 


079676 


1738 


996843 


25 


082833 


1763 


917167 


6 






55 


080719 


1733 


996828 


25 


; 083891 


1759 


916109 


6 






56 


081759 


1 1729 


996812 


26 


1 08494'/ 


1755 


915053 


4 






57 


082797 


1 1725 


996797 


26 


] 08600C 


1751 


914000 


3 






58 


083832 


i 1721 


996782 


26 


1 08705C 


1747 


91295C 


2 






59 


084864 


1717 


996706 


26 


08S095 


1743 


911902 


1 






60 


085894 


1 1713 


996751 


26 


1 089144 


17.38 


910856 











Cosine 




1 Sine 1 


1 (;o;aM};. 


1 : 


1 Tang. 1 M. 





83 Degn 





SINES AND TANGENTS. (7 Dc 


grees.) 




26 


M. 


Sine 


D. 


Cosine | D. 


Tang. 


D. 1 


Cn.«ng. 1 1 


=r 


9.085894 


1713 


9.996751 


-W 


9.089144 


1738 


10.910856 


"60 


1 


086922 


1709 


996735 


26 


090187 


1734 


909813 


59 


2 


087947 


1704 


996720 


26 


091228 


1730 


908772 


58 


3 


088970 


1700 


996704 


26 


092266 


1727 


907734 


57 


4 


089990 


1696 


996688 


26 


093302 


1722 


906698 


56 


5 


091008 


1692 


996673 


26 


094336 


1719 


905664 


;>5 


6 


092024 


1688 


996657 


26 


095367 


1715 


904603 


54 


7 


093037 


1684 


996641 


26 


096395 


1711 


903605 


53 


8 


094047 


1680 


996625 


26 


097422 


1707 


902578 


52 


9 


095056 


1676 


996610 


26 


098446 


1703 


901554 


51 


10 
11 


096062 
9.097065 


1673 


996594 
9.996578 


26 
27 


099468 


1699 


900532 


50 
49 


1668 


9.100487 


1695 


10.899513 


12 


098066 


1665 


996562 


27 


101504 


1691 


898490 


48 


13 


099065 


1661 


996546 


27 


102519 


1687 


897481 


47 


14 


100062 


1657 


996530 


27 


103532 


1684 


896468 


46 


15 


101056 


1653 


996514 


27 


104542 


1680 


895458 


45 


16 


102048 


1649 


996498 


27 


105550 


1676 


894450 


44 


17 


103037 


1645 


996482 


27 


106556 


1672 


893444 


43 


18 


104025 


1641 


996465 


27 


107559 


1669 


892441 


42 


19 


105010 


1638 


996449 


27 


108560 


1665 


891440 


41 


20 
21 


105992 


1634 


996433 


27 

27 


109559 


1661 


890441 


40 
39 


9.106973 


1630 


9.996417 


9.110556 


1658 


10.889444 


22 


107951 


1627 


996400 


27 


111551 


1654 


888449 


38 


23 


108927 


1623 


996384 


27 


112543 


1650 


887457 


37 


24 


109901 


1619 


996368 


27 


113533 


1646 


886467 


36 


25 


110873 


1616 


996351 


27 


114521 


1643 


885479 


35 


26 


111842 


1612 


996335 


27 


115507 


1639 


884493 


34 


27 


112809 


1608 


996318 


27 


116491 


1636 


883509 


33 


28 


113774 


1605 


996302 


28 


117472 


1632 


882528 


32 


29 


114737 


1601 


996285 


28 


118452 


1629 


881548 


31 


30 
31 


115698 


1597 
1594 


996269 


28 
28 


119429 


1625 


880571 


30 
29 


9.116656 


9.996252 


9.120404 


1622 


10.879596 


32 


117613 


1590 


996235 


28 


121377 


1618 


878623 


28 


33 


118567 


1587 


996219 


28 


122348 


1615 


877652 


27 


34 


119519 


1583 


996202 


28 


123317 


1611 


876683 


26 


35 


120469 


1580 


996185 


28 


124284 


1607 


875716 


25 


36 


121417 


1576 


996168 


28 


125249 


1604 


874751 


24 


37 


122362 


1573 


996151 


28 


126211 


1601 


873789 


23 


38 


123306 


1569 


996134 


28 


127172 


1597 


872828 


22 


39 


124248 


1566 


996117 


28 


128130 


1594 


871870 


21 


40 
41 


125187 


1562 


996100 


28 
29 


129087 


1591 


870913 


20 

19 


9.126125 


1559 


9.996083 


9.130041 


1587 


10.869959 


42 


127060 


1556 


996066 


29 


130994 


1584 


869006 


18 


43 


127993 


1552 


996049 


29 


131944 


1581 


868056 


17 


44 


128925 


1549 


996032 


29 


132893 


1577 


867107 


16 


45 


129854 


1545 


996015 


29 


133839 


1574 


866161 


15 


46 


130781 


1542 


995998 


29 


134784 


1571 


865216 


14 


47 


131706 


1539 


995980 


29 


135726 


1567 


864274 


13 


48 


132630 


1535 


995963 


29 


136667 


1564 


863333 


12 


49 


133551 


1532 


995946 


29 


137605 


1561 


862395 


11 


50 
51 


134470 
9.135387 


1529 


995928 


29 
29 


138542 


1558 


861458 


10 
9 


1525 


9.995911 


9.139476 


1555 


10.860524 


52 


136303 


1522 


995894 


29 


140409 


1551 


859591 


8 


53 


137216 


1519 


995876 


29 


141340 


1548 


858660 


7 


54 


138128 


1516 


995859 


29 


142269 


1545 


857731 


6 


55 


139037 


1512 


995841 


29 


143196 


1542 


856804 


5 


56 


139944 


1509 


995823 


29 


144121 


1539 


855879 


4 


57 


140850 


1506 


995806 


29 


145044 


1535 


854956 


3 


58 


141754 


1503 


995788 


29 


145966 


1532 


854034 


2 


59 


142655 


1500 


995771 


29 


146885 


1529 


853115 


1 


50 


143555 


1496 


995753 


29 


147803 


1526 


852197 





~" 


Cosine 




Sine 1 


.„;.... I 


1 


lu., |m:| 



26 



(8 Degrees.; a table op xogaeithmic 



T 


Sine 


D. 1 


Cosine 1 D. | 


Tang. 


f- 1 


Cotang. 1 1 




=r 


9.143555 


1496 


9.995753 


"3r 


9.147803 


1526 


10.852197 601 


1 


144453 


1493 


995735 


30 


148718 


1523 


851282 


59 




2 


145349 


1490 


995717 


30 


149632 


1520 


850368 


58 




3 


146243 


1487 


995699 


30 


150544 


1517 


849456 


57 




4 


147136 


1484 


995681 


30 


151454 


1514 


848646 


56 




5 


148026 


1481 


995664 


30 


152363 


1611 


847637 


55 




6 


148915 


1478 


995646 


30 


153269 


1508 


846731 


54 




7 


149802 


1475 


995628 


30 


154174 


1505 


846826 


53 




8 


150686 


1472 


995610 


30 


155077 


1602 


844923 


52 




9 


151569 


1469 


995591 


30 


155978 


1499 


844022 


21 




10 
11 


152451 


1466 
1463 


995573 
9.995555 


30 
30 


156877 
9.157775 


1496 


843123 


50 
49 




9 153330 


1493 


10.842225 


12 


154208 


1460 


995537 


30 


158671 


1490 


841329 


48 




13 


155083 


1457 


995519 


30 


159565 


1487 


840435 


47 




14 


155957 


1454 


995501 


31 


160457 


1484 


839543 


46 




15 


156830 


1451 


995482 


31 


161347 


1481 


838653 


45 




16 


157700 


1448 


995464 


31 


162236 


1479 


837764 


44 




17 


158569 


1445 


995446 


31 


163123 


1476 


836877 


43 




18 


159435 


1442 


995427 


31 


164008 


1473 


835992 


42 




19 


100301 


1439 


995409 


31 


164892 


1470 


835108 


41 




20 
21 


161164 
9.162025 


1436 
1433 


995390 


31 
31 


165774 


1467 


834226 


40 
39 




9.995372 


9.166654 


1464 


10.833346 


22 


162885 


1430 


995353 


31 


167532 


1461 


832468 


38 




23 


163743 


1427 


995334 


31 


168409 


1458 


831591 


37 




24 


164600 


1424 


995316 


31 


169284 


1455 


830716 


36 




25 


165454 


1422 


995297 


31 


170157 


1453 


829843 


35 




26 


166307 


1419 


995278 


31 


171029 


1450 


828971 


34 




27 


167159 


1416 


995260 


31 


171899 


1447 


828101 


33 




28 


168008 


1413 


995241 


32 


172767 


1444 


827233 


32 




29 


168856 


1410 


995222 


32 


173634 


1442 


826366 


31 




30 
31 


169702 


1407 


995203 


32 
32 


174499 


1439 


825501 


30 
29 




9.170547 


1405 


9.995184 


9.175362 


1436 


10.824638 


32 


171389 


1402 


995165 


32 


176224 


1433 


823776 


28 




33 


172230 


1399 


995146 


32 


177084 


1431 


822916 


27 




34 


173070 


1396 


995127 


32 


177942 


1428 


822058 


26 




35 


173908 


1394 


995108 


32 


178799 


1425 


821201 


25 




36 


174744 


1391 


995089 


32 


179655 


1423 


820345 


24 




37 


175578 


1388 


995070 


32 


180508 


1420 


819492 


23 




38 


176411 


1386 


995051 


32 


181360 


1417 


818640 


22 




39 


177242 


1383 


995032 


32 


182211 


1415 


817789 


21 




40 
41 


178072 


1380 
1377 


995013 


32 
32 


183059 


1412 


816941 


20 
19 




9.178900 


9.994993 


9.183907 


IToT 


10.81G093 




42 


179726 


1374 


994974 


32 


184752 


1407 


815248 


18 




43 


180551 


1372 


994955 


32 


185597 


1404 


814403 


17 




44 


181374 


1369 


994935 


32 


186439 


1402 


813561 


16 




45 


182196 


1366 


994916 


33 


187280 


1399 


812720 


15 




46 


183016 


1364 


994896 


33 


188120 


1396 


811880 


14 




47 


183834 


1361 


994877 


33 


188958 


1393 


811042 


13 




48 


184651 


1359 


994857 


33 


189794 


1391 


810206 


12 




49 


185466 


135G 


994838 


33 


190629 


1389 


809371 


11 




60 
51 


186280 


1353 


994818 


33 
33 


191462 


1386 


808538 


10 
9 




9.187092 


1351 


9.994798 


9.192294 


1384 


10.807706 


52 


187903 


1348 


994779 


33 


193124 


1381 


806876 


8 




53 


188712 


1346 


994759 


33 


193953 


1379 


806047 


7 




54 


189519 


1343 


994739 


33 


194780 


1376 


80522C 


6 




65 


190325 


1341 


994719 


33 


195606 


1374 


804394 


5 




56 


191130 


1338 


994700 


33 


1^6430 


1371 


80357C 


4 




67 


191933 


1336 


994680 


33 


197253 


1369 


802747 


3 




58 


192734 


1333 


994660 


33 


198074 


1366 


801926 


2 




59 


193534 


1330 


994640133 


198894 


1364 


801106 


1 




ii 


194332 


1328 


994620 1 33 


199713 


1361 


800287 


JO 






Cosine 


1 


Sine 1 


1 Colang. 


1 Taiig. 1 M. 










81 


Degr 


ees. 













SINES AND TAKGKNTS 


. (9 Degrees.) 




27 


g 


Sine 1 D. 1 


Cosine | D. | 


Tang. 1 


D- 1 


Cotang. 1 




"^ 


9.194332 


1328 


9.994620 


33 


9.199713 


1361 


10.800287 


60 




195129 


1326 


994600 


33 


200529 


1359 


799471 


59 


2 


195925 


1323 


994580 


33 


201315 


1356 


798655 


5S 


3 


196719 


1321 


994560 


34 


202159 


1354 


797841 


57 


4 


197511 


1318 


994540 


34 


202971 


1352 


797029 


56 


5 


198302 


1316 


994519 


34 


203782 


1.349 


796218 


55 


6 


199091 


1313 


994499 


34 


204592 


1347 


795408 


54 


7 


199879 


1311 


994479 


34 


205400 


1345 


794600 


53 


8 


200666 


1308 


994459 


34 


206207 


1342 


793793 


52 


9 


201451 


1306 


994438 


34 


207013 


1340 


792987 


51 


10 
11 


202234 


1304 
1301 


994418 


34 
34 


207817 


1338 


792183 


50 
49 


9.203017 


9.994397 


9.208619 


1335 


10.791381 


12 


203797 


1299 


994377 


34 


209420 


1333 


790580 


48 


13 


204577 


1296 


994357 


34 


210220 


1331 


789780 


47 


14 


205354 


1294 


994336 


34 


211018 


1328 


788982 


46 


15 


206131 


1292 


994316 


34 


211815 


1326 


788185 


45 


16 


206906 


1289 


994295 


34 


212611 


1324 


787389 


44 


17 


207679 


1287 


994274 


35 


213405 


1321 


786595 


43 


18 


208452 


1285 


994254 


35 


214198 


1319 


785802 


42 


19 


209222 


1282 


994233 


35 


214989 


1317 


785011 


41 


20 
21 


209992 


1280 


994212 


35 
35 


215780 


1315 


784220 


40 
39 


9.210760 


1278 


9.994191 


9.216568 


1312 


10.783432 


22 


211526 


1275 


994171 


35 


217356 


1310 


782644 


38 


23 


212291 


1273 


994150 


35 


218142 


1308 


781858 


37 


24 


213055 


1271 


994129 


35 


218926 


1305 


781074 


36 


25 


213818 


1268 


994108 


35 


219710 


1303 


780290 


35 


26 


214579 


1266 


994087 


35 


220492 


1301 


779508 


34 


27 


215338 


1264 


994066 


35 


221272 


1299 


778728 


33 


28 


216097 


1261 


994045 


35 


222052 


1297 


777948 


32 


29 


216854 


1259 


994024 


35 


222830 


1294 


777170 


31 


30 

31 


217609 


1257 
1255 


994003 


35 
35 


223606 


1292 


776394 


30 
29 


9.218363 


9.993981 


9.224382 


1290 


10.775618 


32 


219116 


1253 


993960 


35 


225156 


1288 


774844 


28 


33 


219868 


1250 


993939 


35 


225929 


1286 


774071 


27 


34 


220618 


1248 


993918 


35 


226700 


1284 


773300 


26 


35 


221367 


1246 


993896 


36 


227471 


1281 


772529 


25 


36 


222115 


1244 


993875 


36 


228239 


1279 


771761 


24 


37 


222861 


1242 


993854 


36 


229007 


1277 


770993 


23 


38 


223606 


1239 


953832 


36 


229773 


1275 


770227 


22 


39 


224349 


1237 


993811 


36 


230639 


1273 


769461 


21 


40 
41 


225092 


1235 


993789 


36 
36 


231302 


1271 


768698 


20 
19 


9.225833 


1233 


9.993768 


9.232065 


1269 


10.767935 


42 


226573 


1231 


993746 


36 


232826 


1267 


767174 


18 


43 


227311 


1228 


993725 


36 


233586 


1265 


766414 


17 


44 


228048 


1226 


993703 


36 


234345 


1262 


765655 


16 


45 


228784 


1224 


993681 


36 


235103 


1260 


764897 


15 


46 


229518 


1222 


993660 


36 


235859 


1258 


764141 


14 


47 


230252 


1220 


993638 


36 


236614 


1256 


763386 


13 


48 


230984 


1218 


993616 


36 


237368 


1254 


762632 


12 


49 


231714 


1216 


993594 


37 


238120 


1252 


761880 


11 


50 
51 


232444 


1214 


993572 


37 
37 


238872 


1250 


761128 


10 
9 


9.233172 


1212 


9,993550 


9.239622 


1248 


10.760378 


52 


233899 


1209 


993528 


37 


240371 


1246 


759629 


8 


53 


234625 


1207 


993506 


37 


241118 


1244 


758882 


7 


54 


235349 


1205 


993484 


37 


241865 


1242 


758 IS.-! 


6 


55 


236073 


1203 


993462 


37 


242610 


1240 


757390 


5 


56 


236795 


1201 


993440 


37 


243354 


1238 


756646 


4 


57 


237515 


1199 


993418 


37 


244097 


1236 


755903 


3 


58 


238235 


1197 


993396 


37 


244839 


1234 


7.55161 


2 


59 


238953 


1195 


993374 


37 


245579 


1232 


754421 


1 


60 


239670 


1193 


993351 


37 


246319 


1230 


753681 







Cosine 1 


1 Sine 1 


1 Cotang. 


i 


1 Ta^g. |M.| 



Degreea. 



28 


(10 Degrees.") a 


TABLE OF LOGARITHTVTTC 




M. 


1 Sine 


1 D- 


Cosine | D. 


1 Tane. 1 D. 


t Cotang. t j 


"o 


9.239670 


1193 


9.993351 


37 


9. 246319 


1230 


10.75368] 


-60" 


1 


240386 


1191 


993329 


37 


247057 


1228 


75294E 


59 


2 


241101 


1189 


993307 


37 


247794 


1226 


752206 


58 


3 


241814 


1187 


993285 


37 


248530 


1224 


75147(J 


57 


4 


242526 


1185 


993262 


37 


249264 


1222 


750736 


56 


5 


243237 


1183 


993240 


37 


249998 


1220 


750002 


55 


6 


243947 


1181 


993217 


38 


250730 


1218 


749270 


54 


7 


244656 


1179 


993195 


38 


251461 


1217 


748539 


53 


8 


245363 


1177 


993172 


38 


252191 


1215 


747809 


52 


9 


246069 


1175 


993149 


38 


252920 


1213 


747080 


51 


10 
11 


246775 


1173 


993127 


38 
38 


253648 


1211 


746352 


50 
49 


9.247478 


1171 


9.993104 


9.254374 


1209 


10.745626 


12 


248181 


1169 


993081 


38 


255100 


1207 


744900 


48 


13 


248883 


1167 


993059 


38 


255824 


1205 


744176 


47 


14 


249583 


1165 


993036 


38 


256.547 


1203 


743453 


46 


15 


250282 


1163 


993013 


38 


257269 


1201 


742731 


45 


Ifi 


250980 


1161 


992990 


38 


257990 


1200 


742010 


44 


17 


251677 


1159 


992967 


38 


258710 


1198 


741290 


43 


18 


252373 


1158 


992944 


38 


259429 


1190 


740571 


42 


19 


253067 


1156 


992921 


38 


260146 


1194 


739854 


41 


20 
21 


253761 


1154 


992898 


38 
38 


260863 


1192 


739137 


40 
39 


9.254453 


1152 


9.992875 


9.261578 


1190 


10.738422 


22 


255144 


1150 


992852 


38 


262292 


1189 


737708 


38 


23 


255834 


1148 


992829 


39 


263005 


1187 


736995 


37 


24 


256523 


1146 


992806 


39 


263717 


1185 


736283 


36 


25 


257211 


1144 


992783 


39 


264428 


1183 


735572 


35 


26 


257898 


1142 


992759 


39 


265138 


1181 


734862 


34 


27 


258583 


1141 


992730 


39 


265847 


1179 


734153 


33 


28 


259268 


1139 


992713 


39 


266555 


1178 


733445 


32 


29 


269951 


1137 


992690 


39 


267261 


1176 


732739 


31 


30 
31 


260633 


)135 


992666 


39 
39 


267967 


1174 


732033 


30 

29 


9.261314 


1133 


9.992643 


9.268671 


1172 


10.731329 


32 


261994 


1131 


992619 


39 


269375 


1170 


730625 


28 


33 


262673 


1130 


992596 


39 


270077 


1169 


729923 


27 


34 


263351 


1128 


992572 


39 


270779 


1167 


729221 


26 


35 


264027 


1126 


992549 


39 


271479 


1165 


728521 


25 


36 


264703 


1124 


992525 


39 


272178 


1164 


727822 


24 


37 


265377 


1122 


992501 


39 


272876 


1162 


727124 


23 


38 


266051 


1120 


992478 


40 


273573 


1160 


726427 


22 


39 


2G6723 


1119 


992454 


40 


274269 


1158 


725731 


21 


40 
41 


267395 


1117 


992430 
9.992406 


40 
40 


274964 


1157 


725036 


20 
19 


9.268065 


1115 


9.275658 


1155 


10.724342 


42 


268734 


1113 


992382 


40 


276351 


1153 


723649 


18 


43 


269402 


1111 


992359 


40 


277043 


1151 


722957 


17 


44 


270069 


1110 


992335 


40 


277734 


1150 


722266 


16 


45 


270735 


1108 


992311 


40 


278424 


1148 


721576 


15 


46 


271400 


1106 


992287 


40 


279113 


1147 


720887 


14 


47 


272064 


1105 


992263 


40 


279801 


1145 


720199 


13 


48 


272726 


1103 


992239 


40 


280488 


1143 


719512 


12 


49 


273388 


1101 


992214 


40 


281174 


1141 


718826 


11 


50 
51 


274049 
9.274708 


1099 


992190 


40 
40 


281858 


1140 


718142 


10 
"9 


1098 


9.992166 


9.282542 


1138 


10.717458 


52 


275367 


1096 


992142 


40 


283225 


1136 


716775 


8 


53 


276024 


1094 


992117 


41 


283907 


1135 


716093 


7 


54 


276681 


1092 


992093 


41 


284588 


1133 


715412 


6 


55 


277337 


1091 


992069 


41 


285268 


1131 


714732 


5 


56 


277991 


1089 


992044 


41 


285947 


1130 


714053 


4 


57 


278644 


1087 


992020 


41 


286624 


1128 


713376 


3 


58 


279297 


1086 


991996 


41 


287301 


1126 


712699 


2 


59 


279948 


1084 


991971 


41 


287977 


1125 


712023 


1 


60 


280599 


1082 


991947 


41 


288652 


1123 


711348 






79 Degree. 



Colang. I 



I Tang. 





SINES AND TANGENTS. 


(11 Degrees.) 




29 


M. 


Sine 


n. 


Cosirre | D. 


Tang. 


D. 


Cotan?. 1 1 


=r 


9.280599 


1082 


9.991947 41 


9.2886.52 


1123 


10.711348 


60 


1 


281248 


1081 


991922 


41 


289326 


1122 


710674 


59 


2 


281897 


1079 


991897 


41 


289999 


1120 


710001 


58 


3 


282544 


1077 


991873 


41 


290671 


1118 


709329 


57 


4 


283190 


1076 


991848 


41 


291342 


1117 


708658 


56 


5 


283836 


1074 


991823 


41 


292013 


1115 


707987 


55 


6 


284480 


1072 


991799 


41 


292682 


1114 


707318 


54 


7 


285124 


1071 


991774 


42 


293350 


1112 


706650 


53 


8 


285766 


1069 


991749 


42 


294017 


nil 


705983 


52 


9 


286408 


1067 


991724 


42 


294684 


1109 


705316 


51 


10 
11 


287048 


1066 


991699 


42 
42 


295349 


1107 


704651 


50 
49 


9.287687 


1064 


9.991674 


9.296013 


1106 


10.703987 


12 


288326 


1063 


991649 


42 


296677 


1104 


703323 


48 


13 


288964 


1061 


991624 


42 


297339 


1103 


702661 


47 


14 


289600 


1059 


991599 


42 


298001 


1101 


701999 


46 


15 


290236 


1058 


991574 


42 


2'j8662 


1100 


701338 


45 


16 


290870 


1056 


991549 


42 


299322 


1098 


700678 


44 


17 


291504 


1054 


991534 


42 


299980 


1096 


700020 


43 


18 


292137 


1053 


991498 


42 


300638 


1095 


699362 


42 


19 


292768 


1051 


991473 


42 


301295 


1093 


698705 


41 


20 
21 


293399 
9.294029 


1050 


991448 


42 
42 


301951 
9.302607 


1092 
1090 


698049 


40 
39 


1048 


9.991422 


10.697393 


22 


294658 


1046 


991397 


42 


303261 


1089 


696739 


38 


23 


295286 


1045 


991372 


43 


303914 


1087 


696086 


37 


24 


295913 


1043 


991346 


43 


304567 


1086 


695433 


36 


25 


296539 


1042 


991321 


43 


305218 


1084 


694782 


35 


26 


297164 


1040 


991295 


43 


305869 


1083 


694131 


34 


27 


297788 


1039 


991270 


43 


306519 


1081 


693481 


33 


28 


298412 


1037 


991244 


43 


307168 


1080 


692832 


32 


29 


299034 


1036 


991218 


43 


307815 


1078 


692185 


31 


30 
31 


299655 
9.300276 


1034 


991193 


43 
43 


308463 
9.309109 


1077 


691537 


30 
29 


1032 


9.991167 


1075 


10.690891 


32 


300895 


1031 


991141 


43 


309754 


1074 


690246 


28 


33 


301514 


1029 


991115 


43 


310398 


1073 


689602 


27 


34 


302132 


1028 


991090 


43 


811042 


1071 


6889C8 


26 


35 


302748 


1026 


991064 


43 


311685 


1070 


688315 


25 


36 


303364 


1025 


991038 


43 


312327 


1068 


687673 


24 


37 


303979 


1023 


991012 


43 


312967 


1067 


687033 


23 


38 


304593 


1022 


990986 


43 


313608 


1005 


686392 


22 


39 


305207 


1020 


990960 


43 


314247 


1064 


685753 


21 


40 
41 


305819 


1019 


990934 


44 
44 


314885 
9.315523 


1062 


685115 


20 
19 


9.306430 


1017 


9.990908 


1061 


10.684477 


42 


307041 


1016 


990882 


44 


316159 


1060 


683841 


18 


43 


307650 


1014 


990855 


44 


316795 


1058 


683205 


17 


44 


308259 


1013 


990829 


44 


317430 


1057 


682570 


16 


45 


308867 


1011 


990803 


44 


318064 


1055 


681936 


!t 


46 


309474 


1010 


990777 


44 


318697 


1054 


681303 


47 


310080 


1008 


990750 


44 


319329 


1053 


680671 


13 


48 


310685 


1007 


990724 


44 


319961 


1051 


680039 


12 


49 


311289 


1005 


990697 


44 


320592 


1050 


679408 


11 


50 
51 


311893 


1004 


990671 


44 
44 


321222 
9.321851 


1048 


678778 


10 
9 


9.312495 


1003 


9.990644 


1047 


10.678149 


52 


313097 


1001 


990618' 44 


322479 


1045 


677521 


8 


53 


313698 


1000 


99059144 


323106 


1044 


676894 


7 


54 


314297 


998 


990565 44 


323733 


1043 


676267 


6 


55 


314897 


997 


990538 44 


324358 


1041 


675642 


5 


56 


315495 


996 


990511 45 


' 324983 


1040 


675017 


4 


57 


316092 


994 


990485 45 


325607 


1039 


674393 3 


58 


316689 


993 


990458 45 


326231 


1037 


673769 2 


59 


317284 


991 


990431 45 


326853 


1036 


673147 1 


60 


317S79 


990 


990404 


45 


327475 


1035 


672525 






I Tang. j 



78 Degrees, 



so 


(12' Degrees.) a 


TABLE Of tOGAKITHMier 




M. 


1 Sine 


! D. 


1 Cosine | D 


1 Tang. 


1 D. 


1 Cotang. 1 1 


~0 


9.317879 


990 


9.990404 


45 


9.327474 


1035 


10.672526 


60 


1 


318473 


988 


990378 


45 


328095 


1033 


671905 


59 


2 


319066 


987 


990351 


45 


328715 


1032 


671285 


58 


3 


319658 


986 


990324 


45 


329334 


1030 


670666 


57 


4 


320249 


984 


990297 


45 


329953 


1029 


670047 


56 


5 


320840 


983 


990270 


45 


330570 


1028 


669430 


55 


6 


3214.30 


982 


990243 


45 


331187 


1026 


668813 


54 


7 


322019 


980 


990215 


45 


331803 


1025 


668197 


53 


8 


322607 


979 


990188 


45 


332418 


1024 


667582 


62 


9 


323194 


977 


990161 


45 


333033 


1023 


666967 


51 


10 
11 


323780 


976 


990134 
9.990107 


45 
46 


333646 


1021 


666354 
10.66.5741 


50 
49 


9.324.366 


975 


9.334259 


1020 


12 


324950 


973 


990079 


46 


3.34871 


1019 


665129 


48 


13 


325534 


972 


990052 


46 


335482 


1017 


664518 


47 


14 


326117 


970 


990025 


46 


336093 


1016 


663907 


46 


15 


326700 


969 


989997 


46 


336702 


1015 


663298 


45 


16 


327281 


968 


989970 


46 


337311 


1013 


662689 


44 


17 


327862 


966 


989942 


46 


337919 


1012 


662081 


43 


18 


328442 


965 


989915 


46 


338527 


1011 


661473 


42 


19 


329021 


964 


989887 


46 


339133 


1010 


660867 


41 


20 
21 


329599 


962 


989860 


46 
46 


339739 


1008 


660261 


40 
39 


9.33017'! 


961 


9.989832 


9.340344 


1007 


10.659656 


22 


330753 


960 


989804 


46 


340948 


1006 


659052 


38 


23 


331329 


958 


989777 


46 


341552 


1004 


658448 


37 


24 


331903 


957 


989749 


47 


342155 


1003 


657845 


36 


25 


332478 


956 


989721 


47 


342757 


1002 


657243 


35 


26 


333051 


954 


989693 


47 


343358 


1000 


656642 


34 


27 


333624 


953 


989665 


47 


S43958 


999 


656042 


33 


28 


334195 


952 


989637 


47 


344558 


998 


655442 


32 


29 


334766 


950 


989609 


47 


345157 


997 


654843 


31 


30 
31 


335337 


949 


989582 
9.989.553 


47 

47 


S45755 
9.346353 


996 
994 


654245 


30 

29 


9.335906 


948 


10.653647 


32 


336475 


946 


989525 


47 


346949 


993 


653051 


28 


33 


337043 


945 


989497 


47 


347545 


992 


652455 


27 


34 


337610 


944 


989469 


47 


348141 


991 


651859 


26 


35 


.338176 


943 


989441 


47 


348735 


990 


651265 


25 


S6 


338742 


941 


989413 


47 


349329 


988 


650671 


24 


37 


339306 


940 


989384 


47 


349922 


987 


650078 


23 


38 


339871 


939 


989356 


47 


350514 


986 


649480 


22 


39 


340434 


937 


989328 


47 


351106 


985 


648894 


21 


40 
41 


340996 


936 


989300 
9.989271 


47 

47 


351697 


983 

982 


648303 


20 
•19 


9.341558 


935 


9.352287 


10.647713 


42 


342119 


934 


989243 


47 


352876 


981 


647124 


18 


43 


342679 


932 


989214 


47 


353465 


980 


646535 


17 


44 


343239 


931 


989186 


47 


354053 


979 


645947 


16 


45 


343797 


930 


989157 


47 


354640 


977 


645360 


15 


46 


344355 


929 


989128 


48 


355227 


976 


644773 


14 


47 


344912 


927 


989100 


48 


355813 


975 


644187 


13 


48 


345469 


926 


989071 


48 


356398 


974 


643602 


12 


49 


346024 


925 


989042 


48 


356982 


973 


643018 


11 


50 
51 


346579 


924 


989014 


48 
48 


357566 
9.358149 


971 
970 


642434 


10 
9 


9.347134 


922 


9.988985 


10.641851 


52 


347687 


921 


988956 


48 


358731 


969 


641269 


8 


53 


348240 


920 


988927 


48 


359313 


968 


640687 


7 


54 


348792 


919 


988898 


48 


359893 


967 


640107 


6 


55 


349343 


917 


988869 


48 


360474 


966 


639526 


5 


56 


349893 


916 


988840 


48 


361053 


965 


638947 


4 


57 


350443 


915 


988811 


49 


361632 


963 


638368 


3 


58 


350992 


914 


988782 


49 


362210 


962 


637790 


2 


59 


351540 


913 


988753 


49 


362787 


961 


6.37213 


I 


60 


352088 


911 


988724 


49 


363364 


960 


636636 





H 


Oosinti 1 


1 


Sine , , 


Cotarig. 1 


1 


r., „-, 



77 Degrees. 





SINES AND TANGENTS. (13 Degrees 


•) 


31 


M. 


Sine 


D. 


Cosine 1 D. 


Tang. 


D. 


Co,ang. 1 1 


"^ 


9.3520S8 


911 


9.988724 


49 


9.363364 


960 


10.636636 


60 


1 


352635 


910 


988695 


49 


363940 


959 


636060 


59 


2 


353181 


909 


988666 


49 


364515 


958 


635485 


58 


3 


353726 


908 


988636 


49 


365090 


957 


634910 


57 


4 


354271 


907 


988607 


49 


365664 


955 


634336 


5-6 


5 


354815 


905 


988578 


49 


366237 


954 


633763 


55 


6 


355358 


904 


988548 


49 


366810 


953 


633190 


54 


7 


355901 


903 


988519 


49 


367382 


952 


632618 


53 


8 


356443 


902 


988489 


49 


367953 


951 


632047 


52 


9 


356984 


901 


988460 


49 


368524 


950 


631476 


51 


10 
11 


357524 


, 899 


988430 


49 
49 


369094 


949 


630906 


50 

49 


9.358064 


898 


9.988401 


9.369663 


948 


10.630337 


12 


358603 


897 


988371 


49 


370232 


946 


629768 


48 


13 


359141 


896 


988342 


49 


370799 


945 


629201 


47 


14 


359678 


895 


988312 


50 


371367 


944 


628633 


46 


15 


360215 


893 


988282 


50 


371933 


943 


628067 


45 


16 


360752 


892 


988252 


50 


372499 


942 


627501 


44 


17 


361287 


891 


988223 


50 


373064 


941 


626936 


43 


18 


361822 


890 


988193 


50 


373629 


940 


§26371 


42 


19 


362356 


889 


988163 


50 


374193 


939 


625807 


41 


20 
21 


362889 


888 


988133 
9.988103 


50 
50 


374756 


938 


625244 


40 
39 


9.353422 


887 


9.375319 


937 


10.624681 


22 


363954 


885 


988073 


50 


375881 


935 


624119 


38 


23 


364485 


884 


988043 


50 


376442 


934 


623558 


37 


24 


365016 


883 


988013 


50 


377003 


933 


622997 


36 


25 


365546 


882 


987983 


50 


377563 


932 


622437 


35 


26 


366075 


881 


987953 


50 


378122 


931 


621878 


34 


27 


366604 


880 


987922 


50 


378681 


930 


621319 


33 


28 


367131 


879 


987892 


50 


379239 


929 


620761 


32 


29 


367659 


877 


987862 


50 


379797 


928 


620203 


31 


30 
IT 


368185 


876 


987832 
9.987801 


51 
51 


380354 


927 


619646 


30 

29 


9.368711 


875 


9.380910 


926 


10.619090 


32 


369236 


874 


987771 


51 


381466 


925 


618534 


28 


33 


369761 


873 


987740 


51 


382020 


924 


617980 


27 


34 


370285 


872 


987710 


51 


382575 


923 


617425 


26 


35 


370803 


871 


987679 


51 


383129 


922 


616871 


25 


36 


371330 


870 


987649 


51 


383682 


921 


616318 


24 


37 


371852 


869 


987618 


51 


384234 


920 


615766 


23 


38 


372373 


867 


987588 


51 


384786 


919 


615214 


22 


39 


372894 


866 


987557 


51 


385337 


918 


614663 


21 


40 
41 


373414 


865 


987526 


51 
51 


385888 


917 


614112 


20 
19 


9.373933 


864 


9.987496 


9.386438 


915 


10.613562 


42 


374452 


863 


987465 


51 


386987 


914 


613013 


18 


43 


374970 


862 


987434 


51 


387536 


913 


612464 


17 


44 


375487 


861 


987403 


52 


388084 


912 


611916 


16 


45 


376003 


860 


987372 


52 


388631 


911 


611369 


15 


46 


376519 


859 


987341 


52 


389178 


910 


610822 


14 


47 


377035 


858 


997310 


52 


389724 


909 


610276 


13 


48 


377549 


857 


987279 


52 


390270 


908 


609730 


12 


49 


378003 


856 


987248 


52 


390815 


907 


609185 


11 


50 
51 


378577 


854 


987217 


52 
52 


391360 


906 


608640 


10 
9 


9.379089 


853 


9.987186 


9.391903 


905 


10.608097 


52 


379601 


852 


987155 


52 


392447 


904 


607553 


8 


53 


380113 


851 


987124 


52 


392989 


903 


607011 


7 


54 


380624 


850 


987092 


52 


393531 


902 


606469 


6 


55 


381134 


849 


987061 


52 


394073 


901 


605927 


5 


56 


381643 


848 


987030 


52 


394614 


900 


605386 


4 


57 


382152 


847 


986998 


52 


395154 


899 


604846 


3 


58 


382661 


846 


986967 


52 


395694 


898 


604306 


2 


59 


383168 


845 


986936 


52 


396233 


897 


603767 


1 


60 


383675 


844 


986904 


52 


396771 


896 


6032291 01 


~ 


Cosine 




Sine j 


Cotans;. 




1 Tang. 1 M. 1 



IS Degrees. 



32 


(14 Degr 


363.) A 


TABLE OF LOGARITHMTC 




IT 


Sine 


D. 


Cosine 1 D. 


Tang. 


D. 


Cotang. 1 1 


=r 


9.383675 


844 


9.986904 


52 


9.396771 


896 


10.603229 


6T 


1 


384182 


843 


986873 


53 


397309 


896 


602691 


59 


2 


384687 


842 


986841 


53 


397846 


895 


602154 


58 


3 


385192 


841 


986809 


53 


398.383 


894 


601617 


57 


4 


385697 


840 


986778 


53 


398919 


893 


601081 


56 


5 


386201 


839 


986746 


53 


399455 


892 


600,545 


55 


6 


386704 


838 


986714 


53 


399990 


891 


600010 


54 


7 


387207 


837 


986683 


53 


400524 


890 


599476 


53 


8 


387709 


836 


986651 


53 


401058 


889 


598942 


52 


9 


388210 


835 


986619 


53 


401591 


888 


698409 


51 


10 
11 


388711 


834 


986587 


53 
53 


402124 


887 


597876 
10.597344 


50 
49 


9.389211 


833 


9.986555 


9.402656 


886 


12 


389711 


832 


986523 


53 


403187 


885 


596813 


48 


13 


390210 


831 


986491 


53 


403718 


884 


596282 


47 


14 


390708 


830 


986459 


53 


404249 


883 


595751 


46 


15 


391206 


828 


986427 


53 


404778 


882 


595222 


45 


16 


391703 


827 


986396 


53 


405308 


881 


594692 


44 


17 


392199 


826 


986363 


54 


405836 


880 


594164 


43 


18 


392695 


825 


986331 


54 


406364 


879 


593636 


42 


19 


393191 


824 


986299 


54 


406892 


878 


593108 


41 


20 
21 


393685 
9.394179 


823 


986260 
9.986234 


54 
54 


407419 


877 


592.581 
10.592055 


40 
39 


822 


9.40 7945 


876 


22 


394673 


821 


986202 


54 


408471 


875 


591.529 


38 


23 


395166 


820 


. 986169 


54 


408997 


874 


591003 


37 


24 


395658 


819 


986137 


54 


409521 


874 


590479 


36 


25 


396150 


816 


986104 


54 


410045 


873 


689955 


35 


26 


396641 


817 


986072 


54 


410569 


872 


689431 


34 


27 


397132 


17 


986039 


54 


411092 


871 


588908 


33 


28 


397621 


816 


986007 


54 


411615 


870 


588385 


32 


29 


398111 


815 


985974 


54 


412137 


869 


587863 


31 


30 
31 


398600 
9.399088 


814 
813 


985942 
9.985909 


54 
55 


412658 


868 


587342 


30 
29 


9.413179 


867 


10.586821 


32 


399575 


812 


985876 


55 


413699 


866 


586301 


28 


33 


400062 


811 


985843 


55 


414219 


865 


■585781 


27 


34 


400549 


810 


985811 


55 


414738 


864 


585262 


26 


35 


401035 


809 


985778 


55 


415257 


864 


584743 


25 


36 


401520 


808 


985745 


55 


415775 


863 


584225 


24 


37 


402005 


807 


985712 


55 


416293 


862 


583707 


23 


38 


402489 


806 


985679 


55 


416810 


861 


583190 


22 


33 


402972 


805 


985646 


55 


417326 


860 


582674 


21 


40 
41 


403455 


804 


985613 


55 
55 


417842 


859 


582158 


20 
19 


9.403938 


803 


9.985580 


9.418358 


858 


10.581642 


42 


404420 


802 


985.547 


55 


418873 


857 


581127 


18 


43 


404901 


801 


985514 


55 


419387 


856 


580613 


•17 


44 


405382 


800 


985480 


55 


419901 


855 


580099 


16 


45 


405862 


799 


985447 


55 


420415 


855 


579585 


15 


46 


406341 


798 


985414 


56 


420927 


854 


579073 


14 


47 


406820 


797 


985380 


56 


421440 


853 


578560 


13 


48 


407299 


796 


985347 


56 


421952 


8.52 


678048 


12 


49 


407777 


795 


985314 


56 


422463 


851 


577537 


11 


50 
51 


408254 


794 


985280 


56 
56 


422974 


850 


577026 


10 
9 


9.408731 


794 


9.985247 


9.423484 


849 


10.576516 


52 


409207 


793 


985213 


56 


423993 


848 


676007 


8 


53 


409682 


792 


985180 


56 


424503 


848 


575497 


7 


54 


410157 


791 


985146 


56 


425011 


847 


574989 


6 


55 


410632 


790 


985113 


56 


425519 


846 


574481 


6 


56 


411106 


789 


985079 


56 


426027 


845 


573973 


4 


57 


411.579 


788 


985045 


56 


426534 


844 


573466 


3 


58 


412052 


787 


985011 


56 


427041 


843 


572959 


2 


59 


412524 


786 


984978 


56 


427547 


843 


572453 


1 


60 


412996 


785 


984944 


56 


428052 


842 


571948 





1 


Coisitie 




Sine 1 


1 Couiig. 




1 Tang 1 M. 1 



75 Degrees. 





SINES AND TANGENTS. (15 


Degrees.) 


33 


JL 


1 Sine 


D. 


1 Cosine | D. 


1 Tana. 


1 D. 1 Cotang. | 1 





9.412996 


785 


9.984944 


57 


9.4280521 842 


10.571948 


"60 


1 


413467 


784 


984910 


57 


428557 


841 


571443 


59 


2 


413938 


783 


984876 


57 


429062 


840 


570938 


58 


3 


414408 


783 


984842 


57 


429566 


839 


570434 


57 


4 


414878 


782 


984808 


57 


430070 


838 


569930 


56 


5 


415347 


781 


984774 


57 


430573 


838 


569427 


55 


6 


415815 


780 


984740 


57 


431075 


837 


568925 


54 


7 


416283 


779 


984706 


57 


431577 


836 


568423 


53 


8 


416751 


778 


984672 


57 


432079 


835 


567921 


52 


9 


417217 


777 


984637 


57 


432580 


834 


567420 


51 


10 
11 


417684 
9.41S150 


770 

775 


984603 


57 
57 


4330S0 


833 


566920 


50 
49 


9.984569 


9.433580 


832 


10.. 566420 


12 


418615 


774 


984535 


57 


434080 


832 


565920 


48 


13 


419079 


773 


984500 


57 


434579 


831 


565421 


47 


14 


419544 


773 


984466 


57 


435078 


830 


564922 


46 


15 


420007 


772 


984432 


58 


435576 


829 


564424 


45 


16 


420470 


771 


984397 


58 


436073 


828 


563927 


44 


17 


420933 


770 


984363 


58 


436570 


828 


563430 


43 


18 


421395 


769 


984328 


58 


437067 


827 


562933 


42 


19 


421857 


768 


984294 


58 


437563 


826 


562437 


41 


20 
21 


422318 


767 


984259 


58 
58 


438059 


825 


561941 


40 
39 


9 422778 


767 


9.984224 


9.438554 


824 


10.561446 


22 


423238 


766 


984190 


58 


439048 


823 


560952 


38 


23 


423697 


765 


984155 


58 


439543 


823 


560457 


37 


24 


424156 


764 


984120 


58 


440036 


822 


559964 


36 


25 


424615 


763 


984085 


58 


'440529 


821 


559471 


35 


26 


425073 


762 


984050 


58 


441022 


820 


5.58978 


34 


27 


425530 


761 


984015 


58 


441514 


819 


658486 


33 


28 


425987 


760 


983981 


58 


442006 


819 


557994 


32 


29 


426443 


760 


983946 


58 


442497 


818 


557503 


31 


80 
31 


426899 


759 


983911 
9.983875 


58 
58 


442988 


817 


557012 


30 
29 


9.427354 


758 


9.443479 


816 


10.556521 


32 


427809 


757 


983840 


59 


443968 


816 


556032 


28 


33 


428263 


756 


983805 


59 


444458 


815 


555542 


27 


34 


428717 


755 


983770 


59 


444947 


814 


555053 


26 


35 


429170 


754 


983735 


59 


445435 


813 


554565 


25 


36 


429623 


753 


983700 


59 


445923 


812 


554077 


24 


37 


430075 


752 


983664 


59 


446411 


812 


553589 


23 


38 


430527 


752 


983629 


59 


446898 


811 


553102 


22 


39 


430978 


761 


983594 


59 


447384 


810 


552616 


21 


40 
41 


431429 


750 


983558 


59 
59 


447870 


809 


552130 


20 
19 


9.431879 


749 


9.983523 


9.448356 


809 


10.551644 


42 


432329 


749 


983487 


59 


448841 


808 


551159 


18 


43 


432778 


748 


983452 


59 


449326 


807 


550674 


17 


44 


433226 


747 


983416 


59 


449810 


806 


550190 


16 


45 


433675 


746 


983381 


59 


450294 


806 


549706 


15 


46 


434122 


745 


983345 


59 


450777 


805 


549223 


14 


47 


434569 


744 


983309 


59 


451260 


804 


548740 


13 


48 


435016 


744 


983273 


60 


451743 


803 


548257 


12 


49 


435462 


743 


983238 


60 


452225 


802 


547775 


11 


50 
51 


435908 


742 


983202 


60 
60 


452706 


802 


547294 


10 
9 


9.436353 


741 


9.983166 


9.453187 


801 


10.546813 


52 


436798 


740 


983130 


60 


453668 


800 


546332 


8 


53 


437242 


740 


983094 


60 


454148 


799 


545852 


7 


54 


437686 


739 


983058 


60 


454628 


799 


545372 


6 


55 


438129 


738 


983022 


60 


455107 


798 


544893 


5 


56 


438572 


737 


982986 


60 


455586 


797 


544414 


4 


57 


439014 


736 


982950 


60 


456064 


796 


543936 


3 


58 


439456 


736 


982914 


60 


456542 


796 


543458 


2 


59 


439897 


735 


982878 


60 


457019 


795 


542981 


1 


60 


440338 


734 


982842 


60 


457496 


794 


542504 





,^ 


Cosine | 


1 


Sine 1 1 


Cotang. 1 


1 T.,,. |M.| 



Degrees. 

E 



^ 



34 


(16 Degr 


ees.) A 


TABLE OP tOGARITHSnC 




IT 


Sine . 


D. 


Cosine 


D. 


Tang. 


D- 


Cotang. 




-T 


9.440338 


-734- 


9.9S2842 


60 


9.457496 


794 




w 


1 


440778 


733 


982805 


60 


457973 


793 


542027 


69 


2 


441218 


732 


982769 


61 


458449 


793 


541551 


58 


3 


441658 


731 


982733 


61 


458925 


792 


54107.5 


57 


4 


442096 


731 


982696 


61 


459400 


791 


540600 


56 


5 


442535 


730 


982660 


61 


459875 


790 


540125 


55 


6 


442973 


729 


982624 


61 


460349 


790 


539651 


54 


7 


443410 


728 


982587 


61 


460323 


789 


539177 


53 


8 


443847 


727 


982551 


61 


461297 


788 


538703 


52 


9 


444284 


727 


982514 


61 


461770 


788 


538230 


fl 


10 
11 


444720 


726 


982477 


61 
61 


462242 


787 


537758 
10.537286 


50 
49 


9.445155 


725 


9.982441 


9.462714 


786 


12 


445590 


724 


982404 


61 


463186 


785 


536814 


48 


13 


446025 


723 


982367 


61 


463658 


785 


536342 


47 


14 


446459 


723 


982331 


61 


464129 


784 


535871 


46 


15 


446893 


722 


982294 


61 


464599 


783 


53.5401 


45 


16 


447326 


721 


982257 


61 


465069 


783 


534931 


44 


17 


447759 


720 


982220 


62 


465539 


782 


534461 


43 


18 


448191 


720 


982183 


63 


466008 


781 


533992 


42 


19 


448623 


719 


982146 


62 


466476 


780 


533524 


41 


20 
21 


449054 


718 


982109 


62 
62 


466945 


780 


533055 
10.532587 


40 
39 


9.449485 


717 


9.982072 


9.467413 


779 


22 


449915 


716 


982035 


62 


467880 


778 


532120 


38 


23 


450345 


716 


981998 


62 


468347 


778 


531*653 


37 


24 


450775 


715 


981961 


62 


468814 


777 


531186 


36 


25 


451204 


714 


981924 


62 


469280 


776 


530720 


35 


26 


451632 


713 


981886 


62 


469746 


775 


530254 


34 


27 


452060 


713 


981849 


62 


470211 


775 


529789 


33 


28 


452488 


712 


981812 


62 


470676 


774 


, 529324 


32 


29 


452915 


711 


981774 


62 


471141 


773 


528859 


31 


30 
31 


453342 


710 


981737 
9.981699 


62 
63 


471605 


773 


528395 


30 
29 


9.453768 


710 


9.472068 


772 


10.527932 


32 


454194 


709 


981662 


63 


472532 


771 


527468 


28 


33 


454619 


708 


981625 


63 


472995 


771 


527005 


27 


34 


455044 


707 


981587 


63 


473457 


770 


526543 


26 


35 


455469 


707 


981549 


G3 


473919 


769 


526081 


25 


36 


455893 


706 


981512 


63 


474381 


769 


525619 


24 


37 


456316 


705 


981474 


63 


474842 


768 


525158 


23 


38 


456739 


704 


981436 


63 


475303 


767 


524697 


22 


39 


457162 


704 


981399 


63 


475763 


767 


524237 


21 


40 


457584 


703 


981361 


63 


476223 


766 


523777 


20 


41 


9.458006 


702 


9.981323 


63 


9.476683 


765 


10.. 5233 17 


19 


42 


458427 


701 


981285 


63 


477142 


765 


5-^2858 


18 


43 


458848 


701 


981247 


63 


477601 


764 


522399 


17 


44 


459268 


700 


981209 


63 


478059 


763 


521941 


16 


45 


459688 


699 


981171 


63 


478517 


763 


521483 


15 


46 


460108 


698 


981133 


64 


478975 


762 


521025 


14 


47 


460527 


698 


981095 


64 


479432 


761 


520568 


13 


48 


460946 


697 


981057 


64 


479889 


761 


520111 


12 


49 


461364 


696 


981019 


64 


480345 


760 


519655 


11 


50 
51 


461782 


695 


980181 


64 
64 


480801 


759 


519199 
10.518743 


10 
9 


9.462199 


695 


9.980942 


9.481257 


759 


52 


462616 


694 


980904 


64 


481712 


758 


518288 


8 


53 


463032 


693 


980866 


64 


482167 


757 


617833 


7 


54 


463448 


693 


980827 


64 


482621 


757 


517379 


6 


55 


46386^. 


692 


980789 


64 


483075 


756 


516925 


5 


56 


464279 


691 


980750 


64 


483529 


755 


516471 


4 


57 


464694 


690 


980712 


64 


483982 


755 


516018 


3 


68 


465108 


690 


980673 


64 


484435 


754 


515565 


2 


59 


465522 


689 


980635 


64 


484887 


753 


515113 


1 


60 


465935 


688 


98059bi 64 


485339 


753 


514661 







Cosine 




1 Sine 1 


1 Colang. 




1 Tang. |M.| 



73 Degrees. 





SINES AND TANGENTS 


. (17 Degrees 





35 


T 


Sine 1 


D. 


Cosine | D. 


Tang. 


D. 


Cotang. 1 


~r 


9.465935 


688 


9.980596 


64 


9.485339 


755 


10.514661 


60 


1 


466348 


688 


980558 


64 


485791 


■S52 


514209 


59 


2 


466761 


687 


980519 


65 


486242 


751 


513758 


58 


3 


467173 


686 


980480 


65 


486693 


751 


513307 


57 


4 


467585 


685 


980442 


65 


487143 


750 


512857 


56 


5 


467996 


685 


980403 


65 


487593 


749 


512407 


55 


6 


468407 


684 


980364 


65 


488043 


749 


511957 


54 


7 


468817 


683 


980325 


65 


488492 


748 


511.508 


53 


8 


469227 


683 


980286 


65 


488941 


747 


511059 


52 


9 


469637 


682 


980247 


65 


489390 


747 


510610 


51 


10 
11 


470046 


681 


980208 
9.980169 


65 
65 


489838 


746 


510162 


50 
49 


9.470455 


680 


9.490286 


746 


10.509714 


12 


470863 


680 


980130 


65 


490733 


745 


509267 


48 


13 


471271 


679 


980091 


65 


491180 


744 


508820 


47 


14 


471679 


678 


980052 


65 


491627 


744 


508373 


46 


15 


472086 


678 


980012 


65 


492073 


743 


507927 


45 


16 


472492 


677 


979973 


65 


492519 


743 


507481 


44 


17 


472898 


676 


979934 


66 


492965 


742 


507035 


43 


18 


473304 


676 


979895 


66 


493410 


741 


506590 


42 


*19 


473710 


675 


979855 


66 


493854 


740 


506143 


41 


20 
21 


474115 


674 


979816 


66 
66 


494299 


740 


505701 
10.505257 


40 
39 


9.474519 


674 


9.979776 


9.494743 


740 


22 


474923 


673 


979737 


66 


495186 


739 


504814 


38 


23 


475327 


672 


979697 


66 


495630 


738 


504370 


37 


24 


475730 


672 


979658 


66 


496073 


737 


503927 


36 


25 


476133 


671 


979618 


66 


496515 


737 


503485 


35 


26 


476536 


670 


979579 


66 


496957 


736 


503043 


34 


27 


476938 


669 


979539 


66 


497399 


736 


502601 


33 


28 


477340 


669 


979499 


66 


497841 


735 


5021.59 


32 


29 


477741 


668 


979459 


66 


498282 


734 


501718 


31 


30 
31 


478142 


667 


979420 


66 
66 


498722 
9.499163 


734 
733 


501278 
10.500837 


30 

29 


9.478542 


667 


9.979380 


32 


478942 


666 


979340 


66 


499603 


733 


500397 


28 


33 


479342 


665 


979300 


67 


500042 


732 


499958 


27 


34 


479741 


665 


979260 


67 


500481 


731 


499519 


26 


35 


480140 


664 


979220 


67 


500920 


731 


499080 


25 


36 


480539 


663 


979180 


67 


501359 


730 


498641 


24 


37 


480937 


663 


979140 


67 


501797 


730 


498203 


23 


38 


481334 


662 


979100 


67 


502235 


729 


497765 


22 


39 


481731 


661 


979059 


67 


502672 


728 


497328 


21 


40 

41 


482128 


661 


979019 
9.978979 


67 
67 


503109 


/728 


496891 
10.496454 


20 
19 


9.482525 


660 


9.503546 


727 


42 


482921 


659 


978939 


67 


503982 


727 


496018 


18 


43 


48.3316 


659 


978898 


67 


504418 


726 


495582 


17 


44 


483712 


658 


978858 


67 


504854 


725 


495146 


16 


45 


484107 


657 


978817 


67 


505289 


725 


494711 


15 


46 


484501 


657 


978777 


67 


505724 


724 


494276 


14 


47 


484895 


656 


978736 


67 


506159 


724 


493841 


13 


48 


485289 


655 


978696 


68 


506593 


723 


493407 


12 


49 


485682 


655 


978655 


68 


507027 


722 


492973 


11 


50 
51 


486075 


654 


978615 


68 
68 


507460 


722 
721 


492540 


10 
9 


9.486467 


653 


9.978574 


9.507893 


10.492107 


52 


486860 


653 


978533 


68 


508326 


721 


491674 


8 


53 


487251 


652 


978493 


68 


508759 


720 


491241 


7 


54 


487643 


651 


978452 


68 


509191 


719 


490809 


6 


55 


488034 


651 


978411 


68 


509622 


719 


490378 


5 


56 


488424 


650 


978370 


68 


510054 


718 


489946 


4 


57 


488814 


650 


978329 


68 


510485 


718 


489515 


3 


58 


489204 


649 


978288 


68 


510916 


717 


489084 


2 


f^ 


489593 


648 


978247 


68 


511346 


716 


488654 1 


60 


489982 


648 


978206 


68 


511776 


716 


488224' 


■ 


Cosine 




Sine 1 


Coiang. 




1 Tang. |M. 



72 Degrees. 



S6 



(18 Degrees.) a table of logarithmic 



iL 


Sine 


D. 


Cosine ( 1). 


1 Tang. 


D. 


Cutane. 


n 


"o" 


9.489982 


648 


9.978206' 68 


9.511776 


716 


10.488224 


60 


1 


490371 


648 


978165 


68 


512206 


716 


487794 


59 


2 


490759 


647 


978124 


68 


512635 


715 


487365 


58 


3 


491147 


646 


978083 


69 


513064 


714 


486936 


57 


4 


491535 


646 


978042 


69 


513493 


714 


486507 


56 


5 


491922 


645 


978001 


69 


513921 


713 


486079 


55 


6 


492308 


644 


977959 


69 


514349 


713 


485651 


54 


7 


492695 


644 


977918 


69 


514777 


712 


485223 


53 


8 


493081 


643 


977877 


69 


515204 


712 


484796 


52 


9 


493466 


642 


977835 


69 


515631 


711 


484369 


51 


10 
11 


493851 


642 


977794 


69 
69 


516057 
9.516484 


710 


483943 
10.483516 


50 
49 


9.494236 


641 


9.977752 


710 


12 


494621 


641 


977711 


69 


516910 


709 


483090 


48 


13 


495005 


640 


977669 


69 


517335 


709 


482665 


47 


14 


495388 


639 


977628 


69 


517761 


708 


482239 


46 


15 


495772 


639 


977586 


69 


518185 


708 


481815 


45 


16 


496154 


638 


977544 


70 


518610 


707 


481390 


44 


17 


496537 


637 


977503 


70 


5190.34 


706 


480966 


43 


18 


496919 


637 


977461 


70 


519458 


706 


480542 


42 


19 


497301 


636 


977419 


70 


519882 


705 


480118 


41 


20 

21 


497682 


636 


977377 


70 

70 


520305 


705 


479695 
10.479272 


40 
39 


9.498064 


635 


9.977335 


9.520728 


704 


22 


498444 


634 


977293 


70 


521151 


703 


478849 


38 


23 


498825 


634 


977251 


70 


521573 


703 


478427 


37 


24 


499204 


633 


977209 


70 


521995 


703 


478005 


36 


25 


499584 


632 


977167 


70 


522417 


702 


477583 


35 


26 


499963 


632 


977125 


70 


522838 


702 


477162 


34 


27 


500342 


631 


977083 


70 


523259 


701 


476741 


33 


28 


500721 


631 


977041 


70 


523680 


701 


476320 


32 


29 


501099 


630 


976999 


70 


524100 


700 


475900 


31 


30 
31 


501476 


629 


976957 


70 
70 


524520 


699 
699 


475480 


30 

29 


9.501854 


629 


9.976914 


9.524939 


10.475061 


32 


502231 


628 


976872 


71 


525359 


698 


474641 


28 


33 


502607 


628 


976830 


71 


525778 


698 


474222 


27 


34 


502984 


627 


976787 


71 


526197 


697 


473803 


26 


35 


503360 


626 


976745 


71 


526615 


697 


473385 


25 


36 


503735 


626 


976702 


71 


527033 


696 


472967 


24 


37 


504110 


625 


976660 


71 


527451 


696 


472549 


23 


38 


504485 


625 


976617 


71 


527868 


695 


472132 


22 


39 


504860 


624 


976574 


71 


528285 


695 


471715 


21 


40 
41 


505234 


623 


976532 


71 
71 


528702 


694 


471298 


20 
19 


9.505608 


623 


9.976489 


9.529119 


693 


0.470881 


42 


505981 


622 


976446 


71 


529535 


693 


470465 


18 


43 


506354 


622 


976404 


71 


529950 


693 


470050. 


17 


44 


506727 


621 


976361 


71 


530366 


692 


469634 


16 


45 


507099 


620 


976318 


71 


530781 


691 


469219 


15 - 


46 


507471 


620 


976275 


71 


531196 


691 


468804 


1^ I 


47 


507843 


619 


976232 


72 


531611 


690 


468389 


13 i 


48 


508214 


619 


976189 


72 


532025 


690 


467975 


12 1 


49 


508585 


618 


976146 


72 


532439 


689 


467561 


11 


50 
51 


508956 


618 


976103 
9.976060 


72 
72 


532853 


689 


467147 
10.466734 


10 
9 


9.509326 


617 


9.533266 


688 


52 


509696 


616 


976017 


72 


533679 


688 


466321 


8 


53 


510065 


616 


975974 


72 


534092 


687 


465908 


7 


54 


510434 


615 


975930 


72 


534504 


687 


465496 


6 


55 


510803 


615 


975887 


72 


534916 


686 


465084 


5 


56 


511172 


614 


975844 


72 


535328 


686 


464672 


4 ; 


57 


511540 


613 


975800 


72 


535739 


685 


464261 


3 


58 


511907 


613 


976757 


72 


536150 


685 


. 463850 


2 . 


59 


512275 


612 


975714 


72 


536561 


684 


463439 


1 


60 


512642 


612 


975670 


72 


536972 


684 


463028 





~ 


Cosine 




Sine 1 


1 Cotang. 




T.„g. !M.|| 










I De 


irees. 











SINKS AND TANGENTS. (19 Degrees.) 


37 


JL 


1 Sine 


D. 


Cosine | D. 


Tang. 


D. 


1 Cotanc 1 


~o 


9.612642 


612 


9.975670 


73 


9.536972 


684 


10.463028 160 


1 


513009 


611 


975627 


73 


537382 


683 


462618 159 


2 


513375 


611 


975683 


73 


537792 


683 


462208 


58 


3 


513741 


610 


975539 


73 


538202 


682 


461798 


57 


4 


514107 


609 


976496 


73 


538611 


682 


461389 


56 


5 


514472 


609 


975452 


73 


539020 


681 


460980 


55 


6 


514837 


608 


975408 


73 


539429 


681 


460571 


54 


7 


515202 


608 


975365 


73 


639837 


680 


460163 


53 


8 


515666 


607 


975321 


73 


640245 


680 


459755 


62 


9 


515930 


607 


975277 


73 


640653 


679 


459347 


61 


10 
11 


516294 


606 


975233 


73 
73 


641061 


679 


458939 


50 
49 


9.516657 


605 


9.975189 


9.641468 


678 


10.4,58532 


12 


517020 


605 


975145 


73 


641876 


678 


458125 


48 


13 


517382 


604 


975101 


73 


.542281 


677 


457719 


47 


14 


517745 


604 


975057 


73 


642688 


677 


457312 


46 


15 


518107 


603 


975013 


73 


543094 


676 


456906 


45 


16 


518468 


603 


974969 


74 


643499 


676 


456501 


44 


17 


518829 


602 


974925 


74 


643905 


675 


456095 


43 


18 


519190 


601 


974880 


74 


544310 


675 


455690 


42 


19 


519551 


601 


974836 


74 


544715 


674 


455285 


41 


20 
21 


519911 


600 


974792 


74 
74 


545119 


674 


464881 


40 
39 


9.520271 


600 


9.974748 


9.545524 


673 


10.4.544V6 


22 


520631 


599 


974703 


74 


545928 


673 


464072 


38 


23 


520990 


599 


974659 


74 


546331 


672 


453669 


37 


24 


521349 


598 


974614 


74 


546735 


672 


453265 


36 


25 


521707 


598 


974570 


74 


647138 


671 


462862 


36 


26 


522066 


597 


974525 


74 


547640 


671 


462480 


34 


27 


522424 


596 


974481 


74 


547943 


670 


452057 


33 


28 


522781 


596 


974436 


74 


548345 


670 


451665 


32 


29 


523138 


595 


974391 


74 


548747 


669 


451253 


31 


30 
31 


523495 


595 


974347 


76 
75 


549149 


669 


450851 


30 
29 


9.523852 


594 


9.974302 


9.549560 


668 


10.450450 


32 


624208 


694 


974257 


76 


549951 


668 


450049 


28 


33 


524564 


593 


974212 


76 


550352 


667 


449648 


27 


34 


524920 


593 


974167 


75 


550752 


667 


449248 


26 


35 


525275 


592 


974122 


75 


551162 


666 


448848 


25 


36 


526630 


591 


974077 


75 


551562 


666 


448448 


24 


37 


526984 


691 


974032 


75 


551962 


665 


448048 


23 


38 


526339 


590 


973987 


75 


552351 


665 


447649 


22 


39 


526693 


590 


973942 


75 


552750 


665 


447250 


21 


40 
41 


527046 


589 


973897 


76 

75 


553149 


664 


446861 


20 
19 


9.527400 


589 


9.973852 


9.553648 


664 


10.446462 


42 


527753 


588 


973807 


75 


553946 


663 


446064 


18 


43 


528105 


588 


973761 


75 


554344 


663 


445656 


17 


44 


528458 


587 


973716 


76 


554741 


662 


445259 


16 


45 


528810 


587 


973671 


76 


556139 


662 


444861 


15 


46 


529161 


586 


973625 


76 


555536 


661 


444464 


14 


47 


529613 


586 


973580 


76 


566933 


661 


444067 


13 


48 


829864 


585 


973535 


76 


666329 


660 


443671 


12 


49 


.'^30215 


585 


973489 


76 


556725 


660 


443275 


11' 


50 

51 


330565 


584 


973444 


76 
76 


557121 


659 


442879 
10.442483 


10 
9 


9.530915 


584 


9.973398 


9.567517 


659 


52 


631265 


583 


973352 


76 


657913 


659 


442087 


8 


53 


531614 


582 


973307 


76 


558308 


658 


441692 


7 


54 


531963 


582 


973261 


76 


668702 


658 


441298 


6 


65 


532312 


581 


973216 


76 


559097 


667 


440903 


5 


56 


532661 


581 


973169 


76 


569491 


657 


440509 


4 


57 


533009 


580 


973124 


76 


559886 


666 


440115 


3 


58 


533357 


580 


973078 


76 


560279 


656 


439721 


2 


59 


533704 


579 


973032 


77 


560673 


655 


439327 


I 


60 


534052 


678 


972986 


77 


661066 


655 


438934 





u 


Cosine 


1 


~~^'^^ \ f 


Cotarig. 


f 


Tang. 1 M. J 



70 Degrees. 



1 





38 


(20 Degrees.) a 


TABLE OP LOGARITHMIC 






M. 


Sine I 


D. 


Cosine | D. | 


Tang. 


B. 1 


Cotang. 1 1 







9.5340521 


578 


9.9729861 


77 


9.561066 


655 


10.438934 


"60 




1 


534399 


577 


972940 


77 


661459 


654 


438541 


59 




2 


534745 


577 


972894 


77 


561851 


654 


438149 


58 




3 


535092 


577 


972848 


77 


562244 


653 


437756 


57 




4 


535438 


576 


972802 


77 


562636 


653 


437364 


56 




5 


535783 


576 


972755 


77 


663028 


653 


436972 


55 




6 


536129 


575 


972709 


77 


56.3419 


652 


436581 


54 




7 


536474 


574 


972663 


77 


563811 


652 


436189 


53 




8 


536818 


574 


972617 


77 


664202 


651 


435798 


62 




9 


537163 


573 


972570 


77 


664592 


651 


436408 


51 




10 
11 


537507 
9.537851 


573 


972524 
9.972478 


77 
77 


564983 


650 


435017 


60 
49 




572 


9.565373 


660 


10.434627 




12 


538194 


672 


972431 


78 


565763 


649 


434237 


48 




13 


558538 


571 


972385 


78 


566153 


649 


433847 


47 




14 


538880 


571 


972338 


78 


566542 


649 


433458 


46 




15 


539223 


570 


972291 


78 


666932 


648 


433068 


45 




16 


539565 


570 


972245 


78 


567320 


648 


432680 


44 




17 


539907 


569 


972198 


78 


567709 


647 


432291 


43 




18 


540249 


569 


972151 


78 


568098 


647 


431902 


42 




19 


540590 


568 


972105 


79 


568486 


646 


431614 


41 




20 
21 


540931 


.'>88 


972058 


78 

78 


568873 


646 


431127 


40 
39 




9.541272 


567 


9.972011 


9.569261 


645 


10.430739 




22 


541613 


567 


971964 


78 


569648 


645 


430352 


38 




23 


541953 


566 


971917 


78 


570035 


645 


429966 


37 




24 


542293 


566 


971870 


78 


570422 


644 


429578 


36 




25 


542632 


565 


971823 


78 


570809 


644 


429191 


35 




26 


542971 


565 


971776 


78 


-671195 


643 


428805 


34 




27 


543310 


664 


971729 


79 


571581 


643 


428419 


33 




28 


543649 


564 


971682 


79 


571967 


642 


428033 


32 




29 


543987 


563 


971635 


79 


572352 


642 


427648 


31 




80 


544325 


563 


971588 


79 


572738 


642 


427262 


30 




31 


9.544663 


562 


9.971540 


79 


9.573123 


641 


10.426877 


29 




32 


545000 


562 


971493 


79 


573507 


641 


426493 


28 




33 


545338 


561 


971446 


79 


573892 


640 


426108 


27 




34 


545674 


661 


971398 


79 


674276 


640 


425724 


26 




35 


546011 


660 


971351 


79 


674660 


639 


425340 


25 




36 


546347 


560 


971303 


79 


575044 


639 


424956 


24 




37 


546683 


559 


971256 


79 


575427 


639 


424573 


23 




38 


547019 


559 


971208 


79 


575810 


638 


424190 


22 




39 


547354 


558 


971161 


79 


576193 


638 


423807 


21 




40 
41 


647689 


558 


971113 


79 
80 


576576 


637 


423424 
10.423041 


20 
19 




9.548024 


657 


9.971066 


9.576958 


637 




42 


548359 


567 


971018 


80 


577341 


636 


422659 


18 




43 


648693 


556 


970970 


80 


577723 


636 


422277 


17 




44 


549027 


566 


970922 


80 


578104 


636 


421896 


16 




45 


549360 


555 


970874 


80 


578486 


635 


421514 


15 




46 


549693 


655 


970827 


80 


578867 


635 


421133 


14 




47 


550026 


554 


970779 


80 


579248 


634 


420752 


13 




48 


550359 


654 


970731 


80 


579629 


634 


420371 


12 




49 


550692 


553 


970683 


80 


580009 


634 


419991 


11 




50 
51 


551024 
9.551356 


553 


970635 


80 
80 


580389 
9.580769 


633 


419611 


10 
9 




552 


9.970586 


633 


10.419231 




52 


551687 


552 


970538 


80 


681149 


632 


418851 


8 




53 


552018 


562 


970490 


80 


581528 


632 


418472 


7 




54 


552349 


551 


970442 


80 


681907 


632 


418093 


6 




55 


552680 


661 


970394 


80 


582286 


631 


417714 


5 




56 


553010 


560 


970345 


81 


582665 


631 


417335 


4 




67 


553341 


660 


970297 


81 


583043 


630 


416957 


3 




58 


55367C 


649 


970249 


81 


683422 


630 


416578 


2 




59 


55400C 


549 


970200 


81 


583800 


629 


416200 


1 




i£ 


55432C 


548 


970152 


81 


584177 


629 


415823 







t 


1 Cosine 


1 


1 Si„e 1 


Colang. 


1 


, Tang. 1 M, | 





SINES AND TANGENTS 


(21 Degrees. 


) 39 


irr 


Sine 1 


D. 1 


Cosine 1 D. | Tang. | 


D- 1 


Cotang. 1 




=T= 


J. 554329 


548 


9.970152 


31 9.584177 


629 


10.415823 6C 




1 


554658 


!^48 


970103 


31 584555 


629 


415445 5S 




2 


564987 


547 


970055 


31 


584932 


628 


41.5068 5e 




3 


555315 


547 


970006 


31 


585309 


638 


414691 57 


4 


555643 


546 


969957 


81 


585686 


637 


414314 56 


5 


555971 


546 


969909 


81 


586062 


637 


413938 55 


6 


556299 


545 


969860 


81 


586439 


637 


413561 54 


7 


556626 


545 


969811 


81 


586815 


636 


4131&5 53 


8 


556953 


544 


969762 


81 


587190 


626 


412810 52 


9 


557380 


544 


969714 


81 


587566 


625 


412434 51 


10 
11 


557606 


543 


969665 


81 

82 


587941 


625 


412059 5 
10.411684 4 


^ 


9.557932 


543 


9.969616 


9.588316 


625 


9 


12 


558258 


543 


969567 


82 


588691 


624 


411309 48 


13 


558583 


542 


969518 


82 


589066 


624 


410934 47 


14 


558909 


642 


969469 


82 


589440 


623 


410560 46 


15 


559234 


541 


969420 


82 


589814 


623 


410186 45 


16 


559558 


641 


969370 


82 


590188 


633 


409812 44 


17 


559883 


540 


969321 82 | 


590562 


633 


409438 43 


18 


560207 


540 


969272 82 1 


590935 


633 


409065 42 


19 


560531 


539 


969223 


83 


.'^91308 


622 


408692 41 


20 


560855 


539 


969173 


82 
83 


591681 


621 


408319 4 





21 


9.561178 


538 


9.969124 


9.592054 


621 


10.407946 3 


9 


22 


561501 


538 


969075 


82 


592426 


620 


407574 a 


8 


23 


561824 


537 


969025 


83 


593798 


620 


407202 S 


7 


24 


562146 


537 


968976 


82 


593170 


619 


406829 2 


6 


25 


562468 


536 


968926 


83 


593542 


619 


406458 J 


5 


26 


562790 


536 


968877 


83 


593914 


618 


406086 I 


J4 


27 


563112 


536 


968827 


83 


594385 


618 


405715 I 


J3 


28 


563433 


535 


968777 


83 


594656 


618 


405344 ( 


$2 


29 


563755 


535 


968728 


83 


595027 


617 


404973 ; 


n 


30 
31 


564075 
9.564396 


534 


968678 


83 
83 


595398 
9.595768 


617 


404602 ; 


}0 


534 


9.968628 


617 


10.404232 ' 


29 


32 


564716 


533 


968578 


83 


596138 


616 


403862 


28 


33 


56.5036 


533 


968528 


83 


596508 


616 


403493 


27 


34 


565356 


532 


968479 


83 


596878 


616 


403133 


26 


35 


565676 


532 


968429 


83 


597247 


615 


403753 


25 


36 


565995 


531 


968379 


83 


697616 


615 


402384 


24 


37 


566314 


531 


968329 


83 


597985 


615 


402015 


23 


38 


566632 


531 


968278 


83 


598354 


614 


401646 


22 


39 


566951 


530 


968228 


84 


598722 


614 


401378 


21 


40 
41 


567269 


530 


968178 
9.968128 


84 
84 


599091 


613 


400909 


20 


9.567587 


529 


9.599459 


613 


10.400541 


19 


42 


567904 


529 


96807S 


84 


599827 


613 


400173 


18 


43 


568222 


528 


96802^ 


84 


600194 


613 


399806 


17 


44 


56853S 


528 


96797- 


84 


600562 


613 


399438 


16 


45 


568856 


528 


96792' 


' 84 


60092S 


611 


399071 


15 


46 


569175 


527 


96787e 


. 84 


601296 


611 


398704 


14 


47 


56948^ 


537 


96782( 


) 84 


601665 


611 


398338 


13 


48 


569804 


t 526 


96777. 


J 84 


60202t 


610 


397971 


13 


49 


570 12( 


) 526 


96772 


3 84 


60339. 


610 


397605 


11 


50 
61 


57043, 


) 525 


96767 
9.96762 


1 84 
i 84 


60376 


I 610 


397339 


10 


9.57075 


I 525 


9.60312 


r 609 


10.396873 


9 


52 


57106 


3 524 


96757 


3 84 


60349 


3 609 


396507 


8 


53 


57138 


) 524 


96752 


2 85 


60385 


5 609 


396143 


7 


54 


57169 


5 523 


96747 


1 85 


60422 


3 608 


395777 


6 


55 


57300 


9 523 


96742 


1 85 


60458 


3 608 


395412 


5 


56 


57232 


3 523 


96737 


85 


60495 


3 607 


395047 


4 


57 


57263 


6 522 


96731 


9 85 


60531 


7 607 


394683 


3 


58 


57295 


522 


967268 85 


60568 


2 607 


394318 


2 


59 


57326 


3 521 


967217 85 


60604 


5 606 


393954 


1 


•60 


57357 


5l 531 


967166 85 


60641 


3 606 


393590 





^^ 


, 0..e^ 


1 


( Sine j j Cotang. 


1 


1 Tang. 


-w 



Degreea. 



40 


(22 Deg 


rees.) a 


TABI.E OF LOGAKITHMIC 




^ 


1 Sine 


1 D. 


1 Cosine 1 D. 


1 Tang. 


1 D- 


1 Cotnng. 1 f 


T 


9.573575 


521 


a. 967166 


85 


9.606410 


606 


10.393590 


-60- 


1 


573888 


520 


967115 


85 


606773 


606 


393227 


59 


2 


574200 


520 


967064 


85 


607137 


605 


392863 


58 


3 


574512 


519 


9670ia 


85 


607500 


605 


392500 


57 


4 


574824 


519 


966961 


85 


607863 


604 


392137 


56 


5 


575136 


519 


966910 


85 


608225 


604 


391775 


55 


6 


575447 


518 


966859 


85 


608588 


604 


391412 


54 


7 


575758 


518 


966808 


85 


608950 


603 


391050 


53 


8 


576069 


517 


966756 


86 


609312 


603 


390688 


52 


9 


576379 


517 


966705 


86 


609674 


603 


390328 


51 


10 
11 


576689 


516 


966653 


86 
86 


610036 


602 


389964 
10.389603 


50 
49 


9.576999 


516 


9.966602 


9.610397 


602 


12 


577309 


516 


966550 


86 


610759 


602 


389241 


48 


13 


577618 


515 


966499 


86 


611120 


601 


388880 


47 


14 


577927 


515 


966447 


86 


611480 


601 


388520 


46 


15 


578236 


514 


966395 


86 


611841 


601 


388159 


45 


16 


578545 


514 


966344 


86 


612201 


600 


,387799 


44 


17 


578853 


513 


966292 


86 


612561 


600 


387439 


43 


18 


579162 


513 


966240 


86 


612921 


600 


387079 


42 


19 


579470 


513 


966188 


86 


613281 


599 


386719 


41 


20 

21 


579777 


512 


966136 


86 
87 


613641 


599 


386359 


40 
39 


9.580085 


512 


9 966085 


9.614000 


598 


10.386000 


22 


580392 


511 


966033 


87 


614.359 


598 


385641 


38 


23 


580699 


511 


965981 


87 


6'4718 


598 


385282 


37 


24 


581006 


511 


965928 


87 


615077 


597 


384923 


36 


25 


5813],2 


510 


965876 


87 


615435 


597 


384565 


35 


26 


581618 


510 


965824 


87 


615793 


,597 


384207 


34 


27 


581924 


509 


965772 


87 


616151 


596 


383849 


33 


23 


582229 


509 


965720 


87 


616509 


596 


383491 


32 


29 


582535 


509 


965668 


87 


616867 


.596 


3831.33 


31 


30 
31 


582840 
9.583145 


508 
508 


965615 


87 
87 


617224 


595 


382776 
10.382418 


30 
29 


9.96.5563 


9 617.582 


595 


32 


583449 


.507 


965511 


87 


617939 


595 


382061 


28 


33 


583754 


507 


965458 


87 


618295 


594 


381705 


27 


34 


584058 


506 


96.5406 


87 


618652 


594 


381348 


26 


35 


584361 


506 


965353 


88 


619008 


594 


380992 


25 


36 


584665 


^06 


96.5301 


88 


619364 


593 


3806.36 


24 


37 


584968 


505 


965248 


88 


619721 


593 


380279 


23 


38 


585272 


505 


965195 


88 


620076 


593 


379924 


22 


39 


585574 


504 


965143 


88 


620432 


592 


379568 


21 


40 
41 


585877 


504 


965090 
9.965037 


88 
88 


620787 


592 


379213 
10.378858 


20 
19 


9.. 586 179 


503 


9.621142 


592 


42 


586482 


503 


964984 


88 


621497 


591 


378503 


18 


43 


586783 


.503 


964931 


88 


621852 


591 


378148 


17 


44 


587085 


502 


964879 


88 


622207 


590 


377793 


16 


45 


587386 


502 


964826 


88 


622561 


590 


377439 


15 


46 


587688 


501 


964773 


88 


622915 


590 


377085 


14 


47 


587989 


501 


964719 


88 


623269 


.589 


376731 


13 


48 


588289 


501 


964666 


89 


623623 


.589 


376377 


12 


49 


588599 


500 


964613 


89 


623976 


589 


376024 


11 


50 
51 


588890 
9.589190 


500 
499 


964560 


89 
89 


624330 


588 


375670 
10.375317 


10 
9 


9.964507 


9.624683 


588 


52 


589489 


499 


964454 


89 


625036 


588 


374964 


8 


53 


589789 


499 


964400 


89 


625388 


587 


374612 


7 


54 


590088 


498 


964347 


89 


625741 


587 


374259 


6 


55 


590387 


498 


964294 


89 


626093 


587 


373907 


5 


56 


590686 


497 


964240 


89 


626445 


586 


373555 


4 


57 


590984 


497 


964187 


89 


626797 


586 


373203 


3 


58 


591282 


497 


964133 


89 


627149 


586 


372851 


2 


59 


591580 


496 


964080 


89 


627501 


585 


372499 


1 


60 


591878 


496 


964026 89' 


637852 


585 


372148 





! 


Ccine 1 




Sine 1 1 


Cotunj.. 1 




Taog. 1 M. 1 







SINES AND TANGKNTs. (23 Degrees.) 


41 






TT 


Sine 1 


D. 1 


Coaine | D. i 


Tana. | 


D. 1 


Cotang. 1 1 




-T 


9.591878 


496 


9.964026 


89 


9.627852 


585 


10.372148 


60 






1 


592176 


495 


963972 


89 


628203 


585 


371797 


59 






2 


592473 


495 


963919 


89 


628554 


585 


371446 


58 






3 


5e»'J770 


495 


963865 


90 


628905 


584 


371095 


57 






4 


593067 


494 


963811 


90 


629255 


584 


370745 


56 






5 


593363 


494 


963757 


90 


629606 


583 


370394 


55 






6 


593659 


493 


963701 


90 


629956 


583 


370044 


54 






7 


593955 


493 


963650 


90 


630306 


583 


369694 


53 




8 


594251 


493 


963596 


90 


630656 


583 


369344 


52 






9 


594547 


492 


963542 


90 


631005 


582 


368995 


51 






10 
11 


594842 


492 


963488 


90 
90 


631355 


582 


368645 
10.368296 


50 
49 




9.595137 


491 


9.963434 


9.631704 


582 






12 


595432 


491 


963379 


90 


632053 


581 


367947 


48 






13 


595727 


491 


963325 


90 


632401 


581 


367599 


47 






14 


596021 


490 


963271 


90 


632750 


581 


367250 


46 






15 


596315 


490 


963217 


90 


633098 


580 


366902 


45 






16 


596609 


489 


963163 


90 


633447 


580 


366553 


44 






17 


596903 


489 


963108 


91 


633795 


580 


366205 


43 






18 


597196 


489 


963054 


91 


634143 


579 


365857 


42 






19 


597490 


488 


962999 


91 


634490 


579 


365510 


41 






20 

21 


597783 


488 


962945 


91 
91 


634838 


579 


365162 
10.364815 


40 
39 




9. .598075 


487 


9.962890 


9.635185 


578 






22 


598368 


487 


962836 


91 


635532 


578 


364468 


38 






23 


598660 


487 


962781 


91 


635879 


578 


364121 


37 




24 


598^52 


486 


962727 


91 


636226 


577 


363774 


36 




25 


599244 


486 


962672 


91 


636572 


577 


363428 


35 




26 


699536 


485 


962617 


91 


636919 


577 


36.3081 


34 




27 


599827 


485 


962562 


91 


637265 


577 


362735 


33 






28 


600118 


485 


962508 


91 


637611 


576 


362389 


32 






29 


600409 


4S4 


962453 


91 


637956 


576 


362044 


31 






30 
31 


600700 
9.600990 


4-84 
484 


962398 


92 
92 


638302 


576 


361698 


30 
29 




9.962343 


9.838647 


575 


10.361353 




132 


601280 


483 


962288 


92 


638992 


575 


361008 


28 




33 


601570 


4S3 


969,^.^3 


92 


639337 


575 


360663 


27 




i 34 


601860 


482 


962178 


92 


639682 


574 


360318 


26 




1 35 


602150 


482 


962123 


92 


640027 


574 


359973 


25 






36 


602439 


482 


962067 


92 


640371 


574 


359629 


24 




i 


37 


602728 


481 


962012 


92 


640716 


573 


359284 


23 






38 


603017 


481 


961957 


92 


641060 


573 


358940 


22 






39 


603305 


481 


961902 


92 


641404 


573 


358596 


21 




, 


40 
41 


603594 


480 


961846 


92 
92 


641747 


572 


358253 


20 
19 




8.603882 


480 


9.961791 


9.642091 


572 


10.357909 




1 


42 


604170 


479 


961735 


92 


642434 


572 


357566 


18 






43 


604457 


479 


961680 


92 


642777 


572 


357223 


17 






44 


604745 


479 


961624 


93 


643120 


571 


356880 


16 




45 


605032 


478 


961569 


93 


643463 


571 


356537 


15 






46 


605319 


478 


961513 


93 


643806 


571 


356194 


14 






47 


605606 


478 


961458 


93 


644148 


570 


355852 


13 






48 


605892 


477 


961402 


93 


644490 


570 


355510 


12 






49 


60fil79 


477 


961346 


93 


644832 


570 


355168 


11 






50 
51 


606465 


476 


961290 


93 
93 


645174 


569 


354826 


10 
9 




9.606751 


476 


9.961235 


9.645516 


569 


10.354484 






52 


607036 


476 


961179 


93 


645857 


569 


354143 


8 






53 


607322 


475 


961123 


93 


646199 


569 


353801 


7 






54 


607607 


475 


961067 


93 


646540 


568 


353460 


6 






55 


607892 


474 


961011 


93 


646881 


568 


353119 


5 






56 


608177 


474 


960955 


93 


647222 


568 


352778 


4 






57 


608461 


474 


960899 


93 


647562 


567 


352438 


3 






58 


608745 


473 


960843 


94 


647903 


567 


352097 


2 






59 


609029 


473 


960786 


94 


648242 


567 


351757 


1 






60 


609313 


478 


960730194 


64858S 


566 


351417 









1 <^"^'"« 


j 


t Sine t 


\ Colang. 


t 


Tang. 1 M. 












66 Deg 
1 


reea. 









43 



(24 DegTees.) a table op iogarithmr? 



M 


I Sine 


1 D. 


1 Cosine 1 D. 


1 Tang. 


1 D. 


1 Cotang. f I 


~~0 


9.609313 


473 


9.960730 


94 


9.648583 


566 


10.351417 


60 


1 


609597 


472 


960674 


94 


648923 


566 


361077 


59 


2 


6098SO 


472 


960618 


94 


649263 


566 


350737 


58 


3 


610J64 


472 


960561 


94 


649602 


566 


360398 


57 


4 


610447 


471 


960505 


94 


649942 


665 


350058 


56 


5 


610729 


471 


960448 


94 


650281 


565 


349719 


55 


6 


611012 


470 


960392 


94 


650G20 


565 


349380 


54 


7 


611294 


470 


960335 


94 


650959 


564 


349041 


63 


8 


611576 


470 


960279 


94 


6S1297 


564 


348703 


52 


9 


611858 


469 


960222 


94 


651636 


564 


348364 


61 


10 
11 


612140 


469 


960165 


94 
95 


651974 


563 


348026 


50 
49 


9.612421 


469 


9.960109 


9,652312 


563 


10.347688 


12 


612702 


468 


960052 


95 


652650 


563 


347350 


48 


13 


612983 


468 


959995 


95 


652988 


563 


347012 


47 


14 


613264 


467 


959938 


95 


653326 


562 


346674 


46 


15 


613.545 


467 


959882 


95 


653663 


662 


346337 


45 


16 


613825 


467 


959825 


95 


654000 


562 


346000 


44 


17 


614105 


466 


959768 


95 


654337 


561 


345663 


43 


18 


614385 


466 


959711 


95 


654674 


561 


345326 


42 


19 


614665 


466 


959654 


95 


655011 


561 


344989 


41 


20 
21 


614944 


465 


959596 


95 
95 


655348 
9.655684 


561 


344662 
10.344316 


40 
39 


9.615223 


465 


9.959539 


560 


22 


615502 


465 


959482 


95 


656020 


560 


343980 


38 


23 


615781 


464 


959425 


95 


656356 


560 


343644 


37 


24 


616060 


464 


959368 


95 


666692 


559 


343308 


36 


25 


616.338 


464 


959310 


96 


657028 


559 


342972 


35 


26 


616616 


463 


959253 


96 


657364 


659 


342636 


34 


27 


616894 


463 


959196 


96 


657699 


559 


342301 


33 


28 


617172 


462 


959138 


96 


658034 


558 


341966 


32 


29 


6174,50 


462 


959081 


96 


658369 


558 


341631 


31 


30 
31 


617727 
9.618004 


462 


959023 
9.958965 


96 
96 


658704 


558 


341296 


30 
29 


461 


9.6.59039 


558 


10.340961 


32 


618281 


461 


958908 


96 


659373 


557 


340627 


28 


33 


618558 


461 


958850 


96 


659708 


.557 


340292 


27 


34 


618834 


460 


9.5879?, 


96 


660042 


557 


339958 


26 


35 


619110 


460 


958734 


96 


660376 


557 


339624 


26 


36 


619386 


460 


958677 


96 


660710 


556 


339290 


24 


37 


6196C2 


459 


958619 


96 


661043 


656 


338957 


23 


38 


619938 


459 


958561 


96 


661377 


556 


388623 


22 


39 


620213 


459 


958503 


97 


661710 


555 


338290 


21 


40 
41 


620488 


458 


958445 


97 
97 


662043 


555 


337957 
10.337624 


20 
19 


9.620763 


458 


9.9.58387 


9.662376 


556 


42 


621038 


457 


958329 


97 


662709 


554 


337291 


18 


43 


621313 


457 


958271 


97 


663042 


554 


336958 


17 


44 


621687 


457 


958213 


97 


663375 


564 


336625 


16 


45 


621861 


456 


9581.54 


97 


663707 


554 


336293 


16 


46 


622135 


456 


958096 


97 


664039 


553 


335961 


14 


47 


622409 


466 


958038 


97 


664371 


563 


335629 


13 


48 


622682 


455 


957979 


97 


664703 


5.53 


335297 


12 


49 


622956 


455 


957921 


97 


665035 


563 


334965 


11 


50 

51 


623229 


455 


957863 


97 
9V 


665366 


552 
552 


334634 


10 
"9 


9.623.502 


454 


9.9.57804 


9.665697 


1(^334303 


52 


623774 


454 


957746 


98 


666029 


552 


333971 


8 


53 


624047 


454 


957687 


98 


666360 


651 


333640 


7 


54 


624319 


453 


957628 


98 


666691 


551 


333309 


6 


55 


624591 


453 


957570 


98 


667021 


551 


332979 


5 


56 


624863 


453 


957511 


98 


6673.52 


551 


332648 


4 


57 


625135 


452 


957452 


98 


667682 


660 


332318 


3 


58 


625406 


452 


957393 


98 


668013 


650 


331987 


2 


59 


625677 


452 


957335 


98 


668343 


550 


331657 


1 


60 


625948 


451 


957276 98 1 


668672 


560 


331328 





~~ 


Cosine | 


1 

< 


Si„e 1 1 


Uoiang. 1 




Tang. jM.| 


•■•■^ 






65 I 


)egre 


sa. 









SINES AND TANGENTS. (26 Degrees.) 



43 





M.I 


Sine 1 


D.- 


Cosine | 


D. 


Tang. 


D. 


Cotang. i 1 






T 


9.625948 


461 


9.957276 


-Mi 


9.668673 


550 


10.331327, 60 1 






1 


626219 


451 


957217 


98' 


669002 


549 


330998 


59 






2 


626490 


451 


957158 


98 


669332 


549 


330608 


58 






3 


626760 


450 


957099 


98 


669661 


549 


330339 


57 






4 


627030 


450 


957040 


98 


669991 


548 


330009 


56 






5 


627300 


450 


956981 


98 


670320 


548 


329680 


55 






6 


627570 


449 


956921 


99 


670649 


548 


329351 


54 






7 


627840 


449 


956862 


99 


670977 


548 


329023 


53 






8 


628109 


449 


956803 


99 


671306 


547 


328894 


52 






9 


628378 


448 


956744 


99 


671634 


547 


328366 


51 






10 
11 


628647 


448 


956684 


99 
99 


671963 
9.672291 


547 


328037 


50 
49' 




9.628916 


447 


9.95662.S 


547 


10.327709 






12 


629185 


447 


956566 


99 


672619 


546 


327381 


48 






13 


629453 


447 


956506 


99 


672947 


546 


327053 


47 






14 


629721 


446 


956447 


99 


673274 


546 


326726 


46 






15 


629989 


446 


956387 


99 


673602 


546 


326398 


45 






16 


630257 


446 


956327 


99 


673929 


545 


326071 


44 






17 


630524 


446 


956268 


99 


674257 


545 


325743 


43 






18 


630792 


445 


956208 


100 


674584 


545 


325416 


42 






19 


631059 


445 


956148 


100 


674910 


544 


325090 


41 i 




20 
21 


631326 


445 


956089 


100 
100 


675237 


544 


324763 


40 
39 




9.631593 


444 


9.956029 


9.675564 


544 


10.324436 






22 


631859 


444 


955969 


100 


675890 


544 


324110 


38 






23 


632125 


444 


955909 


100 


676216 


543 


323784 


37 






24 


632392 


443 


955849 


100 


676543 


543 


323457 


36 






25 


632658 


443 


955789' 


100 


676869 


543 


323131 


35 






26 


632923 


443 


955729 


100 


677194 


543 


322806 


34 






27 


633189 


442 


955069 


100 


677520 


542 


322480 


33 






28 


633454 


442 


955609 


100 


677846 


542 


322154 


32 






29 


633719 


442 


955548 


100 


678171 


542 


321829 


31 






30 
31 


633984 


441 


955488 
9.955428 


100 
101 


678496 


542 


321504 


30 

29 




9.634249 


441 


9.678821 


541 


10.321179 






32 


634514 


440 


955368 


101 


679146 


541 


320854 


28 






33 


634778 


440 


955307 


101 


679471 


541 


320529 


27 






34 


635042 


440 


955247 


101 


679795 


541 


320205 


26 






35 


635306 


439 


955186 


101 


680120 


540 


319880 


25 






36 


635570 


439 


955126 


101 


680444 


540 


319.556 


24 






37 


635834 


439 


955065 


101 


680768 


540 


319232 


23 






38 


636097 


438 


955005 


101 


681092 


540 


318908 


22 






39 


636360 


438 


954944 


101 


681416 


539 


318584 


21 






40 
41 


636623 


438 


954883 
9 954823 


101 
101 


681740 


5^^ 


318260 


20 
19 




9.636886 


437 


9.682063 


539 


10.317937 






42 


637148 


437 


954762 


101 


682387 


539 


317613 


18 






43 


637411 


437 


.954701 


101 


682710 


538 


317290 


17 






44 


637673 


437 


954640 


101 


683033 


538 


316967 


16 






45 


637935 


436 


954579 


101 


683356 


538 


316644 


15 






46 


638197 


436 


954518 


102 


683679 


538 


316321 


14 






47 


638458 


436 


954457 


102 


684001 


537 


31.5999 


13 






48 


638720 


435 


954396 


102 


684324 


537 


315676 


12 






49 


638981 


435 


9.54335 


102 


684646 


537 


315354 


11 






50 
51 


639242 


435 


954274 


102 
102 


684968 


537 


315032 


10 
9 




9.639503 


434 


9.954213 


9.685290 


536 


10.314710 






52 


639764 


434 


954152 


102 


685612 


536 


314388 


8 






53 


640024 


434 


954090 


102 


685934 


536 


314066 


7 






54 


640284 


433 


954029 


102 


686255 


536 


31374£ 


6 






55 


640544 


433 


953968 


102 


686577 


535 


313422 


5 






56 


640804 


433 


953906 


102 


686898 


535 


313102 4 






57 


641064 


432 


953845 


102 


687219 


535 


312781 3 






.58 


641324 


432 


953783 


102 


687.'>40 


535 


312460 2 






59 


641584 


432 


953722 


103 


687861 


534 


312139 1 






[60 


641842 


431 


95366t)l 103 


688182 


534 


311818 




: 


'^ 


Cosine 




1 Sine 1 


. Colang. 


1 


I T''"^- 1'^'- 



64 Degrees. 



44 


(26 Degrees.) a 


TABLE OF LOGARITHMIC 




"bT 


Sine 


D. 


Cosine | D. 


Ta:.. 


D. 


Cotang. 1 I 


"T 


9.641842 


431 


9.953660 


103 


9.688182 


534 


10.311818 


"60 


1 


642101 


431 


953599 


103 


688502 


534 


311498 


59 


2 


642360 


431 


953537 


103 


688823 


534 


311177 


58 


3 


642618 


430 


953475 


103 


689143 


533 


310857 


57 


4 


642877 


430 


953413 


103 


689463 


533 


310537 


56 


5 


643135 


430 


953352 


103 


689783 


533 


310217 


55 


6 


643393 


430 


953290 


103 


690103 


533 


.309897 


54 


7 


643650 


429 


953228 


103 


690423 


533 


309577 


53 


8 


643908 


429 


953166 


103 


690742 


532 


309258 


52 


9 


644165 


429 


953104 


103 


691062 


532 


308938 


51 


10 
11 


644423 


428 
428 


953042 
9.952980 


103 
104 


691381 


532 


308619 


50 
49 


9.644680 


9.691700 


531 


10.308300 


12 


644936 


428 


952918 


104 


692019 


531 


307981 


48 


13 


645193 


427 


952855 


104 


692338 


531 


307662 


47 


14 


645450 


427 


952793 


104 


692656 


531 


307344 


46 


15 


645706 


427 


952731 


104 


692975 


531 


307025 


45 


16 


645962 


426 


952669 


104 


693293 


530 


306707 


44 


17 


646218 


426 


952606 


104 


693612 


530 


306388 


43 


18 


646474 


426 


952544 


104 


693930 


530 


306070 


42 


19 


646729 


425 


952481 


104 


694248 


530 


305752 


41 


20 
21 


646984 


425 


952419 
9.952356 


104 
104 


694566 


529 


305434 


40 
39 


9.647240 


425 


9.694883 


529 


10.305117 


22 


647494 


424 


952294 


104 


695201 


529 


304799 


38 


23 


647749 


424 


952231 


104 


695518 


529 


304482 


37 


24 


648004 


424 


952168 


105 


695836 


529 


304164 


36 


25 


648258 


424 


952106 


105 


696153 


528 


303847 


35 


26 


648512 


423 


952043 


105 


696470 


528 


303530 


34 


27 


648766 


423 


951980 


105 


696787 


528 


303213 


33 


28 


649020 


423 


951917 


105 


697103 


528 


302897 


32 


29 


649274 


422 


951854 


105 


697420 


527 


302580 


31 


30 
31 


649527 


422 


951791 


105 
105 


697736 


527 


302264 


30 

29 


9.64^781 


422 


9.951728 


57698053 


527 


10.301947 


32 


650034 


422 


951665 


105 


698369 


527 


301631 


28 


33 


650287 


421 


951602 


105 


698685 


526 


3013J5 


27 


34 


650539 


421 


951539 


105 


699001 


526 


300999 


26 


35 


650792 


421 


951476 


105 


699316 


526 


300684 


25 


36 


651044 


420 


951412 


105 


699632 


526 


300368 


24 


37 


651297 


420 


951349 


106 


699947 


526 


300053 


23 


38 


651549 


420 


951286 


106 


700263 


525 


299737 


22 


39 


651800 


419 


951222 


106 


700578 


525 


299422 


21 


40 
41 


652052 


419 


951159 


106 
106 


700893 


525 


299107 


20 
19 


9.652304 


419 


9.951096 


9.701208 


524 


10.298792 


42 


652555 


418 


951032 


106 


701523 


524 


298477 


18 


43 


652806 


418 


950968 


106 


701837 


524 


298163 


17 


44 


653057 


418 


950905 


106 


702152 


524 


297848 


16 


45 


653308 


418 


950841 


106 


702466 


524 


297534 


15 


46 


653558 


417 


950778 


106 


702780 


523 


297220 


14 


47 


653808 


417 


950714 


106 


703095 


523 


296905 


13 


48 


654059 


417 


950650 


106 


703409 


523 


296591 


12 


49 


654309 


416 


950586 


106 


703723 


523 


296277 


11 


50 
51 


654558 


416 


950522 


107 


704036 


522 


295964 
10.295650 


10 
9 


9.654808 


416 


9.950458 


107 


9.704350 


522 


52 


655058 


416 


950394 


107 


704663 


522 


295337 


8 


53 


655307 


415 


950330 


107 


704977 


522 


295023 


7 


54 


655556 


415 


950266 


107 


705290 


522 


294710 


6 


55 


655805 


415 


950202 


107 


705603 


521 


294397 


5 


56 


656054 


414 


950138 


107 


705916 


521 


294084 


4 


57 


656302 


414 


950074 


107 


706228 


.521 


293772 


3 


58 


655551 


414 


950010 


107 


706541 


521 


29.3459 


2 


59 


656799 


413 


949948 


107 


706854 


.521 


293146 


1 


60 


657047 


413 


949881 


107 


707166 


520 


292834 







Cosine 


, 


Sine 1 


Cotan?. 




1 Tang. ] M. 1 







51NES AND TANGENTS. (27 Degrees.) 


45 


iL 


Si„e 


D. 


Cosine 1 D. 


1 Tang. 


1 D. 


1 Coiang. 1 1 


T 


!\ 657047 


413 


9.949881 


107 


19.707166 


520 


10.292834 


60 


1 


6672Sf^ 


413 


949816 


107 


707478 


620 


292522 


59 


2 


657542 


412 


949752 


107 


707790 


520 


292210 


58 


3 


657790 


412 


949688 


108 


708102 


520 


291898 


57 


4 


658037 


412 


949623 


108 


708414 


519 


291586 


56 


5 


658284 


412 


949558 


108 


708726 


519 


291274 


55 


6 


658531 


411 


949494 


108 


709037 


519 


290903 


54 


7 


658778 


411 


949429 


108 


709349 


519 


290651 


53 


8 


659025 


411 


949364 


108 


709660 


519 


390340 


52 


9 


659271 


410 


949300 


108 


709971 


618 


290029 


51 


10 
11 


659517 


410 


949235 


108 
108 


710282 


518 


289718 


50 

49 


9.659763 


410 


9.949170 


9.710593 


518 


10.289407 


12 


660009 


409 


949105 


108 


710904 


518 


289096 


48 


13 


660255 


409 


949040 


108 


711215 


518 


288785 


47 


14 


660501 


409 


948975 


108 


711.525 


517 


288475 


46 


15 


660746 


409 


948910 


108 


711836 


517 


288164 


45 


16 


660991 


408 


948845 


108 


712146 


517 


287854 


44 


17 


661236 


408 


948780 


109 


712456 


517 


287544 


43 


18 


661481 


408 


948715 


109 


712766 


516 


287234 


42 


19 


661726 


407 


948650 


109 


713076 


516 


- 286924 


41 


20 
21 


661970 


407 


948584 


109 
109 


7133S6 


516 


286614 
10.286304 


40 
39 


9.662214 


407 


9.948519 


9.713696 


516 


22 


662459 


407 


948454 


109 


714005 


516 


285995 


38 


23 


662703 


406 


948388 


109 


714314 


515 


285686 


37 


24 


662946 


406 


948323 


109 


714624 


515 


285376 


36 


25 


663190 


406 


948257 


109 


714933 


515 


285067 


35 


26 


663433 


405 


948192 


109 


715242 


515 


284758 


34 


27 


663677 


405 


948126 


109 


715551 


514 


284449 


33 


28 


663920 


405 


948060 


109 


715860 


514 


284140 


32 


29 


664163 


405 


947995 


110 


716168 


514 


283832 


31 


30 
31 


664406 


404 


947929 


110 
110 


716477 


514 


283523 


30 
29 


9.664648 


404 


9.947863 


9.716785 


514 


10.283215 


32 


664891 


404 


947797 


110 


717093 


513 


282907 


28 


33 


665133 


403 


947731 


110 


717401 


513 


282599 


27 


34 


665375 


403 


947665 


110 


717709 


513 


282291 


26 


35 


665617 


403 


947600 


110 


718017 


513 


281983 


25 


36 


665859 


402 


947533 


110 


718325 


513 


281675 


24 


37 


666100 


402 


947467 


110 


718633 


512 


281367 


23 


38 


666342 


402 


947401 


110 


718940 


512 


2810G0 


22 


39 


666583 


402 


947335 


110 


719248 


512 


280752 


21 


40 

41 


666824 


401 


947269 


110 

lid 


719.5.55 


512 


280445 


20 
19 


9.667065 


401 


9.947203 


9.719862 


512 


10.280138 


42 


667305 


401 


947136 


111 


720169 


511 


279831 


18 


43 


667546 


401 


947070 


ill 


720476 


511 


279524 


17 


44 


667786 


400 


947004 


111 


720783 


511 


279217 


16 


45 


668027 


400 


946937 


111 


721089 


511 


278911 


15 


46 


668267 


400 


946871 


ill 


721396 


511 


278604 


14 


47 


668506 


399 


946804 


111 


721702 


510 


278298 


13 


48 


668746 


399 


946738 


111 


722009 


510 


277991 


12 


49 


668986 


399 


946671 


111 


722315 


510 


277685 


11 


50 
51 


669225 


399 


946604 


111 
111 


722621 


510 


277379 


10 
9 


9.669464 


398 


9.9465.38 


9.722927 


510 


10.277073 


52 


669703 


398 


946471 


111 


723232 


509 


276768 


8 


53 


669942 


398 


946404 


111 


723538 


509 


276462 


7 


54 


670181 


397 


946337 


111 


723844 


509 


276156 


6 


55 


670419 


397 


946270 


112 


724149 


509 


275851 


5 


56 


670658 


397 


946203 


112 


724454 


.509 


275546 


4 


57 


670896 


397 


946136 


112 


724759 


508 


275241 


3 


58 


671134 


396 


946069 


112 


725065 


508 


274935 


2 


59 


671372 


396 


946002 


112 


725369 


508 


274631 


i 


60 


671609 


396 


945935 


112 


725674 


508 


274326 





2 


Cosine 




Sine 1 


Cotang. 


1 


Tang. 1 M. j 



46 


(28 Degr 


ees.j A 


TABLE OP LOGARITHMIC 






M. 


1 Sine 


1 D- 


1 Cosine | D. 


Taiiir. 


1). 


Cntaiig. 1 




=r 


9.671609 


==39r 


9.945935 


112 


9.725674 


508 


10.274323 


"60 




1 


671847 


395 


945868 


112 


725979 


508 


• 274021 


59 




2 


672084 


395 


945800 


112 


726284 


507 


273716 


58 




3 


672321 


395 


945733 


112 


726588 


507 


273412 


57 




4 


672558 


395 


945666 


112 


726892 


507 


273108 


56 




5 


672795 


394 


945598 


112 


727197 


507 


272803 


55 




6 


673032 


394 


945531 


112 


727501 


507 


272499 


54 




7 


673268 


394 


945464 


113 


727805 


506 


272195 


53 




8 


673505 


394 


945396 


113 


728109 


506 


271891 


52 




9 


673741 


393 


945328 


113 


728412 


506 


271588 


51 




10 
11 


673977 


393 


945261 
9.945193 


113 
113 


728716 


506 


271284 


50 
49 




9.674213 


393 


9.729020 


506 


10.270980 




12 


674448 


392 


945125 


113 


729323 


505 


270677 


48 




13 


674684 


392 


945058 


113 


729626 


505 


270374 


47 




14 


674919 


392 


944990 


113 


729929 


505 


270071 


46 




15 


675155 


392 


944922 


113 


730233 


505 


269767 


45 




16 


675390 


391 


944854 


113 


730535 


505 


269465 


44 




17 


675624 


391 


944786 


113 


730838 


504 


269162 


43 




18 


675859 


391 


944718 


113 


731141 


504 


268859 


42 




19 


676094 


391 


944650 


113 


731444 


504 


268556 


41 




20 
21 


676328 


390 


944582 


114 
114 


731746 


504 


268254 


40 
39 




9.676562 


390 


9.944514 


9.732048 


604 


10.267952 




22 


676796 


390 


944446 


114 


732351 


503 


267649 


38 




23 


677030 


390 


944377 


114 


732653 


503 


267347 


37 




24 


677264 


389 


944309 


114 


7329.55 


503 


267045 


36 




25 


677498 


389 


944241 


114 


733257 


503 


266743 


35 




26 


677731 


389 


944)72 


114 


733558 


503 


266442 


34 


■ 


27 


677964 


388 


944104 


114 


733860 


502 


266140 


33 




28 


678197 


388 


944036 


114 


734162 


502 


265838 


32 




29 


678430 


388 


943967 


114 


734463 


602 


265537 


31 




30 
31 


678663 


388 


943899 


114 


734764 


502 


265236 
10.264934 


30 
29 




9 678895 


387 


9.94383Q 


114 


9.735066 


502 




32 


679128 


387 


943761 


114 


735367 


602 


264633 


28 




33 


679360 


387 


943693 


115 


735668 


501 


264332 


27 




34 


679592 


387 


943624 


115 


735969 


501 


264031 


26 




35 


679824 


386 


943555 


115 


736269 


.501 


263731 


25 




36 


680056 


386 


943486 


115 


736570 


501 


263430 


24 




37 


680288 


386 


943417 


115 


736871 


501 


263129 


23 




38 


680519 


385 


943348 


115 


737171 


500 


262829 


22 




39 


680750 


385 


943279 


115 


737471 


500 


262529 


21 




40 
41 


680982 


385 
385 


943210 
9.943141 


115 
115 


737771 
9.738071 


500 


262229 


20 
19 




9.681213 


500 


10.261929 




42 


681443 


384 


943072 


115 


738371 


500 


261629 


18 




43 


681674 


384 


943003 


115 


738671 


499 


261329 


17 




44 


681905 


384 


942934 


115 


738971 


499 


261029 


16 




45 


682135 


384 


942864 


115 


739271 


499 


260729 


15 




46 


682365 


383 


942795 


116 


739570 


499 


260430 


14 




47 


682595 


383 


942726 


116 


739870 


499 


260130 


13 




48 


682825 


383 


942656 


116 


740169 


499 


259831 


12 




49 


683055 


383 


942587 


116 


740468 


498 


259532 


11 




50 
51 


683284 


382 


942517 
9,942448 


116 
116 


740767 


498 


259233 


10 
9 




9.683514 


382 


9.741066 


498 


10.258934 




62 


683743 


382 


942378 


116 


741365 


498 


258635 


8 




53 


683972 


382 


942308 


116 


741664 


498 


25833a 


7 




54 


684201 


381 


942239 


116 


741962 


49? 


258038 


6 




55 


684430 


381 


942169 


116 


742261 


497 


257739 


5 




56 


684658 


381 


942099 


116 


742559 


497 


257441 


4 




57 


684887 


380 


942029 


116 


742858 


497 


2.57142 


3 




58 


685115 


380 


941959 


116 


743156 


497 


256844 


2 




59 


685343 


380 


941889 


117 


743454 


497 


256546 


1 




60 


685571 


380 


941819 


117 


743752 


496 


256248 







— 


Cosine 




... 1 1 


Cotang. 


1 Tang. |M.| 





61 Degrees, 








SINES AND TANGENTS. 


^29 Degree.s 


.) 


47 




E 


Sine 1 


a 1 


Cosine 1 D. | Tang. | 


!>. 1 


Cotang. 1 1 




i 


9.685571 


380 


9.9418191 


117 


9.743752 


496 


10.256248 


60 




I 


685799 


379 


941749 


117 


744050 


496 


255950 


59 




2 


686027 


379 


941679 


117 


744348 


496 


255652 


58 




3 


686254 


379 


941609 


117 


744645 


496 


255355 


57 




4 


686482 


379 


941539 


117 


744943 


496 


255057 


56 




' 5 


686709 


378 


941469 


117 


745240 


496 


254760 


55 




6 


686936 


378 


941398 


117 


745538 


495 


254462 


54 




7 


687163 


378 


941328 


117 


745835 


495 


254165 


53 




8 


687389 


378 


941258 


117 


746132 


495 


253868 


52 




9 


687616 


377 


941187 


117 


746429 


496 


253571 


51 




10 
i 11 


687843 


377 
377 


941117 
9.941046 


117 
118 


746726 


495 


253274 


50 
49 




9.688069 


9.747023 


494 


10.252977 




12 


688295 


377 


940975 


118 


747319 


494 


252681 


48 




13 


688521 


376 


940905 


118 


747616 


494 


252384 


47 




14 


688747 


376 


940834 


118 


747913 


494 


252087 


46 




15 


688972 


376 


940763 


118 


748209 


494 


251791 


45 




16 


689198 


376 


940693 


118 


748505 


493 


251495 


44 




17 


689423 


375 


940622 


118 


748801 


493 


251199 


43 




18 


689648 


375 


940551 


118 


749097 


493 


250903 


42 




19 


689873 


375 


940480 


118 


749393 


493 


250607 


41 




20 
21 


690098 


375 


940409 


118 
118 


7496P9 


493 


250311 


40 
39 




9.690323 


374 


9.940338 


9.749985 


493 


10.250015 




22 


690548 


374 


940267 


118 


750281 


492 


249719 


38 




23 


690772 


374 


940196 


118 


750576 


492 


249424 


37 




24 


690996 


374 


940125 


119 


750872 


492 


249128 


36 




25 


691220 


373 


940054 


119 


751167 


492 


248833 


35 




26 


691444 


373 


939982 


119 


751462 


492 


248538 


34 




27 


691668 


373 


939911 


119 


751757 


492 


248243 


33 




28 


691892 


373 


939840 


119 


752052 


491 


247948 


32 




29 


692115 


372 


939768 


119 


752347 


491 


247653 


31 




30 
31 


692339 


372 


939697 


119 
119 


752642 


491 


247358 


.30 

29 




9.692562 


372 


9.939625 


9.752937 


491 


10.247063 




32 


692785 


371 


939554 


n9 


753231 


491 


246769 


28 




33 


693008 


371 


939482 


119 


753526 


491 


246474 


27 




34 


693231 


371 


939410 


ll9l 


753820 


490 


246180 


26 




35 


693453 


371- 


939339 


119 


754115 


490 


245885 


25 




36 


693676 


370 


939267 


120 


754409 


490 


245591 


24 




37 


693898 


370 


939195 


120 


754703 


490 


245297 


23 




38 


694120 


370 


939123 


120 


T54997 


490 


245003 


22 




39 


694342 


370 


939052 


120 


7^5291 


490 


244709 


21 




40 
41 


694564 


369 


938980 
9.938908 


120 
120 


75t)585 


489 


244415 


20 
19 




9.694786 


369 


9. 755478 


489 


10.244122 




42 


695007 


309 


938836 


120 


756^2 


489 


243828 


18 




43 


695229 


369 


938763 


120 


75646b 


489 


243535 


17 




44 


695450 


368 


938691 


120 


756759 


[ 489 


243241 


16 




45 


695671 


368 


938619 


120 


757052 


489 


242948 


15 




46 


695892 


368 


938547 


120 


75734£ 


m 


242655 


14 




47 


696113 


368 


93847E 


120 


757638 


4^ 


242362 


13 




48 


696334 


367 


938402 


121 


75793] 


488 


242069 


12 




49 


696554 


367 


93833C 


121 


75822^ 


t 488 


241776 


11 




50 
51 


69677£ 


367 


93825S 


121 
' 121 


7585 r 


r 488 


241483 


10 

Q 




9.69699£ 


367 


9.93818£ 


9.75881( 


) 488 


10.241190 




52 


69721f 


366 


9381 IC 


121 


75910S 


I 487 


240898 


8 




53 


69743? 


366 


93804C 


121 


75939. 


5 487 


24060E 


7 




54 


69765^ 


t 366 


93796- 


r 12] 


75968' 


r 487 


240312 


6 




1 


69787^ 


t 366 


93789f 


) 121 


75997' 


) 487 


240021 


5 




69809^ 


t 365 


937825 


I 12] 


76027' 


I 487 


23972f 


i 4 




' !I 


6983K 


< 365 


93774 


) 12] 


76056^ 


1 487 


23943( 


3 




I 58 


69853^ 


I 365 


937676i 12] 


76085 


3 486 


23914/ 


t 2 




59 


69875 


L 365 


937604! 12] 


7GlUi 


i 486 


238855 


I 1 




^ 


1 69897 


) 3C4 


9375311 12 


76143 


9 486 


23856 







1! L- 


1 Cosine 


1 


1 Si<,e 1 1 Cotang. 


1 


1 Tang. 1 M. 





Degrees. 



4S 


(30 i)eg 


rees.) A 


TABLE Of tddkRltttHm 




M. 


1 Sine 


1 D. 


Csiue |D. 


T.1..L'. 


D. 


1 '^ ' 1 1 


"o 


9.698970 


1 364 


9.937531 


121 


9.761439 


486 


10.2.38561 


60: 


1 


699189 


364 


937458 


122 


761731 


486 


238269 


59 


3 


699407 


364 


937385 


122 


762023 


486 


237977 


58 


3 


699626 


364 


937312 


122 


762314 


486 


237686 


57 


4 


639844 


363 


937238 


122 


762606 


485 


237394 


56 


5 


700062 


363 


937165 


122 


762897 


485 


2.37103 


55 


6 


700280 


363 


937092 


122 


763188 


485 


236812 


54 


7 


700498 


363 


937019 


122 


763479 


485 


236521 


53 


8 


700716 


363 


936946 


122 


763770 


485 


236230 


52 


9 


700933 


362 


936872 


122 


764061 


485 


235939 


51 


10 
11 


701151 


362 


936790 


122 
122 


764352 


484 


235648 


50 
49 


9.701368 


362 


9.936725 


9.764643 


484 


10.235357 


12 


701585 


362 


936652 


123 


764933 


484 


235067 


48 


13 


701802 


361 


936578 


123 


765224 


484 


234776 


47 


14 


702019 


361 


936505 


123 


765514 


484 


234486 


46 


15 


702236 


361 


936431 


123 


765805 


484 


234195 


45 


16 


702452 


361 


936357 


123 


766095 


484 


233905 


44 


17 


702669 


360 


936284 


123 


766385 


483 


233615 


43 


18 


702885 


360 


936210 


123 


766675 


483 


233325 


42 


19 


703101 


360 


936136 


123 


766965 


483 


233035 


41 


20 
21 


703317 


360 


936062 
9.935988 


123 
123 


767255 


483 


232745 
10.232455 


40 
39 


9.703533 


359 


9.767545 


483 


22 


703749 


359 


935914 


123 


767834 


483 


232166 


38 


83 


703964 


359 


935840 


123 


768134 


482 


231876 


37 


24 


704179 


359 


935766 


124 


768413 


482 


231587 


36 


25 


704395 


359 


935692 


124 


768703 


482 


231297 


35 


26 


704610 


358 


935618 


124 


768992 


482 


231008 


34 


27 


704825 


358 


935543 


124 


769281 


482 


230719 


33 


28 


705040 


358 


935469 


124 


769570 


482 


230430 


32 


29 


705254 


358 


935395 


124 


769860 


481 


230140 


31 


30 
31 


705469 


357 


935320 


124 
124 


770148 
9.770437 


481 


229852 


30 
29 


9.705683 


357 


9.935246 


481 


10.229563 


32 


705898 


357 


935171 


1S4 


770726 


481 


229274 


28 


33 


706112 


357 


935097 


124 


771015 


481 


228985 


27 


34 


706326 


356 


935022 


124 


771303 


481 


228697 


26 


35 


706539 


356 


934948' 1241 


771,592 


481 


228408 


25 


36 


706753 


356 


93487J 


124 


771880 


480 


228120 


24 


37 


706967 


356 


9347*« 


125 


772168 


480 


227832 


23 


38 


707180 


355 


934-23 


125 


772457 


480 


227543 


22 


39 


707393 


355 


93^649 


125 


772745 


480 


227255 


21 


40 
41 


707606 


355 


9?4574 
97J34499 


125 
125 


773033 


480 


226967 


20 
19 


9.707819 


355 


9.773321 


480 


10.226679 


42 


708032 


354 


934424 


125 


773608 


479 


226392 


18 


43 


708245 


354 


934349 


125 


773896 


479 


226104 


17 


44 


708458 


354 


934274 


125 


774184 


479 


225816 


16 


45 


708670 


35^ 


934199 


125 


7744-71 


479 


225529 


15 


46 


708882 


333 


934123 


125 


774759 


479 


225241 


14 


47 


709094 


553 


934048 


125 


775040 


479 


224954 


13 


48 


709306 


353 


933973 


125 


775333 


479 


224667 


12 


49 


70951 PI 


353 


933898 


126 


775621 


478 


224379 


11 


50 
51 


709730 


353 


933822 
9.933747 


126 
126 


775908 


478 


224092 


10 
9 


9.709941 


352 


9.776195 


478 


10.223805 


52 


710253 


352 


933671 


126 


776482 


478 


223518 


8 


53 


710364 


352 


933596 


126 


776769 


478 


223231 


7 


64 


710575 


352 


933520 


126 


777055 


478 


222945 


6 


55 


710786 


351 


933445 


126 


777342 


478 


222658 


5 


66 


710997 


351 


933369 


126 


777628 


477 


222372 


4 


67 


711208 


.351 


933293 


126 


777915 


477 


222085 


3 


58 


711419 


351 


933217 


126 


778201 


477 


221799 


2 


59 


711629 


350 


933141 


126 


778487 


477 


221512 


1 


60 


711839 


350 


933066 120' 


778774 


477 


221226 





~~ 


Conine 1 




S„.e 1 1 


Cot,,,,.. 




T.,, ...| 



59 Degrees. 



SINES AND TANGENTS. (31 Degrees.) 



49 



M.| 


Sine 1 


D. 1 


C.-siiie 1 D. 1 


T.n.. 1 


D. 1 


Ctans. 1 1 


=r 


9 711839 


350 


9.933066 


126 


9 . 778774 


477 


10.221226 


60 


1 


712050 


350 


932990 


127 


779060 


477 


220940 


59 


2 


712260 


350 


932914 


127 


779346 


176 


220654 


58 


3 


712469 


349 


932838 


127 


779632 


476 


220368 


57 


4 


712G79 


349 


932762 


127 


779918 


476 


220082 


56 


5 


712889 


349 


932685 


127 


780203 


476 


219797 


55 


6 


713098 


349 


932609 


127 


780489 


476 


219511 


54 


7 


713308 


349 


932533 


127 


780775 


476 


219225 


53 


8 


713517 


348 


932457 


127 


781060 


476 


218940 


52 


9 


713726 


348 


932380 


127 


781346 


475 


218654 


51 


10 
11 


713935 


348 


932304 
9.932228 


127 

127 


781631 


475 


218369 


50 
49 


9.714144 


348 


9.781916 


475 


10.218084 


12 


714352 


347 


932151 


127 


782201 


475 


217799 


48 


13 


714561 


347 


932075 


128 


782486 


475 


217514 


47 


14 


714769 


347 


93199S 


128 


782771 


475 


217229 


46 


15 


714978 


347 


931921 


128 


783056 


475 


216944 


45 


16 


715186 


347 


931845 


128 


783341 


475 


216659 


44 


17 


715394 


346 


931768 


128 


783626 


474 


216374 


43 


18 


715602 


346 


931691 


128 


783910 


474 


216090 


42 


19 


715809 


346 


931614 


128 


784195 


474 


215805 


41 


20 
21 


716017 


346 


931537 


128 

128 


784479 


474 


215521 


40 
39 


9.716224 


345 


9.931460 


9.784764 


474 


10.21.5236 


22 


716432 


345 


931383 


128 


785048 


474 


214952 


38 


23 


716639 


345 


931306 


128 


785332 


473 


214668 


37 


24 


716846 


345 


931229 


129 


78.5616 


473 


214384 


36 


25 


717053 


345 


931152 


129 


785900 


473 


214100 


35 


26 


717259 


344 


931075 


129 


786184 


473 


213816 


34 


27 


717466 


344 


930998 


129 


786468 


473 


213532 


33 


28 


717673 


344 


930921 


129 


786752 


473 


213248 


32 


29 


717879 


344 


930843 


129 


787036 


473 


212964 


31 


30 
31 


718085 


343 


930766 


129 
129 


787319 


472 


212681 


30 

29 


9.718291 


343 


9.930688 


9.787603 


472 


10.212397 


32 


718497 


343 


930611 


129 


787886 


472 


212114 


28 


33 


718703 


343 


930533 


129 


788170 


472 


211830 


27 


34 


718909 


343 


930456 


129 


788453 


472 


211547 


26 


35 


719114 


342 


930378 


129 


788736 


472 


211264 


25 


36 


719320 


342 


930300 


130 


789019 


472 


210981 


24 


37 


719525 


342 


930223 


130 


789302 


471 


210698 


23 


38 


719730 


342 


930145 


130 


789585 


471 


210415 


22 


39 


719935 


341 


930067 


130 


789868 


471 


210132 


21 


40 

41 


720140 


341 


929989 


130 
130 


790151 


471 


209849 


20 
19 


9.720345 


341 


9.929911 


9.790433 


471 


10.209567 


42 


720549 


341 


929833 


130 


790716 


471 


209284 


18 


43 


720754 


340 


929755 


130 


790999 


471 


209001 


17 


44 


720958 


340 


929677 


130 


791281 


471 


208719 


16 


45 


721162 


340 


929599 


130 


791563 


470 


208437 


15 


46 


721366 


340 


929521 


130 


791846 


470 


208154 


14 


47 


721570 


340 


929442 


130 


792128 


470 


207872 


13 


48 


721774 


339 


929364 


131 


79241C 


470 


207590 


12 


49 


721978 


339 


929286 


131 


792692 


470 


207308 


11 


50 
51 


722181 


339 


929207 


131 
131 


792974 


470 


207026 


10 
9 


9.722385 


339 


9.929129 


9.79325e 


470 


10.206744 


52 


722588 


339 


929050 


131 


79353S 


469 


206462 


8 


53 


722791 


338 


928972 


131 


7938K 


469 


206181 


7 


54 


722994 


t 338 


928893 


131 


79410] 


469 


205899 


6 


55 


72319' 


' 338 


9288 li= 


131 


79438r 


469 


20.5617 


5 


56 


72340C 


338 


92873e 


131 


79466^ 


ti 469 


205336 


4 


57 


72360C 


337 


92865- 


131 


79494. 


)! 469 


205055 


3 


58 


72380? 


) 337 


928578 


131 


79522' 


r\ 469 


204773 


2 


159 


72400' 


r 337 


92849f 


131 


79550. 


?! 468 


204492 


1 


160 


724211 


) 337 


92842( 


131 


79578 


), 468 


2042U 







1 Cosine 


1 


1 Sine 1 


1 Co.aug. 


1 


1 Tang. 


m 



Degrees. 

G 



50 



(32 Degrees.) a table of i,o(3arith*ic 





M 


Sine 


1 D- 


1 Cosine | D 


1 Tang. 1 D. 


1 Coiang. 1 






"~0 


9.72421 


J 337 


9 . 92842 


) 13 


2 9.79578 


i 468 


10.2042111 60 






1 


72441 


2 337 


92834' 


I 13 


2 79607 


) 468 


20393C 


59 






2 


72461 


1 336 


92826J 


i 135 


2 79635 


468 


20364[ 


58 






3 


72481 


3 336 


92818^ 


} 135 


I 796635 


I 468 


203368 


57 






4 


72501 


7 336 


928104 


[ 135 


I 7969ir 


5 468 


203087 


56 






5 


72521' 


) 336 


92802£ 


135 


797194 


[ 468 


202806 


55 






6 


72542( 


) 335 


927946 


135 


79747£ 


468 


20252S 


54 






7 


72562S 


I 335 


927867 


135 


79775£ 


468 


202245 


53 






8 


72582C 


335 


92778? 


132 


798036 


467 


201964 


52 






9 


726024 


335 


927708 


132 


798316 


467 


201684 


51 






10 
11 


72622f 


335 


927629 


1.32 
132 


798596 


467 


201404 
10,201123 


50 
49 






9.726426 


334 


9.927549 


9.798877 


467 






12 


726626 


334 


927470 


133 


799157 


467 


200843 


48 






13 


726827 


334 


927390 


133 


799437 


467 


200563 


47 






14 


727027 


334 


927310 


133 


799717 


467 


200283 


46 






15 


727228 


334 


927231 


1.33 


799997 


466 


200003 


45 






16 


727428 


333 


927151 


133 


800277 


466 


199723 


44 






17 


727628 


333 


927071 


133 


800557 


466 


199443 


43 






18 


727828 


333 


926991 


133 


800836 


466 


199164 


42 






19 


728027 


333 


926911 


133 


801116 


466 


198884 


41 






20 


728227 


333 


926831 


133 


80139b 


466 


198604 


40 






21 


9.728427 


332 


9.920751 


133 


9.801675 


466 


10.198325 


39 






22 


728626 


332 


926671 


133 


801955 


466 


198045 


38 






23 


728825 


332 


926591 


133 


802234 


465 


197766 


37 






24 


729024 


332 


926511 


134 


802513 


465 


197487 


36 






25 


729223 


331 


926431 


134 


802792 


465 


197208 


35 






26 


729422 


.331 


926351 


134 


803072 


465 


196928 


34 






27 


729621 


331 


926270 


134 


803351 


465 


196649 


33 






28 


729820 


331 


926190 


134 


803630 


465 


196370 


32 






29 


730018 


330 


926110 


134 


803908 


465 


196092 


31 






30 
31 


730216 


330 


926029 
9.925949 


134 

134 


804187 


465 


195813 


30 
29 






9.730415 


330 


9.804466 


464 


10.195534 






32 


730613 


330 


925868 


134 


804745 


464 


1952.55 


28 






33 


730811 


330 


925788 


134 


805023 


464 


194977 


27 






34 


731009 


329 


925707 


134 


805302 


464 


194698 


26 






35 


731206 


329 


925026 


134 


805580 


464 


194420 


25 






36 


731404 


329 


925545 


135 


805859 


464 


194141 


24 






37 


731602 


329 


925465 


1.35 


806137 


464 


193863 


23 






38 


731799 


329 


925.384 


135 


806415 


463 


193585 


22 






39 


731996 


328 


925303 


135 


806693 


463 


193307 


21 






40 
41 


732193 


328 


925222 
9.925141 


135 

135 


806971 


463 


193029 


20 
19 






9.732390 


328 


9.807249 


463 


10.192751 






42 


732587 


328 


925060 


135 


807527 


463 


192473 


18 






43 


732784 


328 


924979 


135 


807805 


463 


192195 


17 






44 


732980 


327 


924897 


135 


808083 


463 


191917 


16 






45 


733177 


327 


924816 


135 


808361 


463 


191639 


15 






46 


733373 


327 


924735 


136 


808638 


462 


191362 


14 






47 


733569 


327 


924654 


136 


808916 


462 


191084 


13 






48 


733765 


327 


924572 


136 


809193 


462 


190807 


12 






49 


733961 


326 


924491 


136 


809471 


462 


190529 


11 






50 
51 


734157 


326 


924409 


136 
136 


809748 


462 


190252 
10.189975 


10 
9 






9.734353 


326 


9.924328 


9.810025 


462 






52 


734549 


326 


924246 


136 


810302 


462 


189698 


8 






53 


734744 


325 


924164 


136 


810580 


462 


1894201 


7 






54 


734939 


325 


924083 


136 


810857 


462 


189143 


6 






55 


735135 


325 


924001 


136 


811134 


461 


188866 


5 






56 


735330 


325 


923919 


136 


811410 


461 


188590 


4 






57 


735525 


325 


92.3837 


136 


811687 


461 


188313 


3 






58 


73.5719 


324 


923755 


137 


811964 


461 


188036 


3 






£9 


735914 


324 


923673 


137 


812241 


461 


187759 


1 






60 


736109 


324 


9235911 


137 


819517 


461 


187483 









n^ 


Cosine j 


1 


Sine 1 1 


Colans. 1 1 


Tang. |M.| 





57 Degrees. 









SINKS AND TANGKNTs. (53 Degrees.) 


51 




M 


1 Sine 


1 D. 


i Cosine i n. 


1 Tang. 


1 D. 


1 Cotang. 1 1 




=0 


9.736109 


324 


9.923591 


13' 


9.812517 


461 


10.187482|60| 




1 


736303 


324 


923509 


13' 


812794 


461 


187206 


59 




2 


736498 


324 


923427 


137 


81307C 


461 


186930 


58 




3 


736692 


323 


923345 


137 


813347 


460 


186653 


57 




4 


736880 


323 


923263 


137 


813623 


460 


186377 


56 




5 


737080 


323 


923181 


137 


813899 


460 


186101 


55 




6 


737274 


323 


923098 


137 


81417G 


460 


185825 


54 




7 


737467 


323 


923016 


137 


814452 


460 


185548 


53 




8 


737661 


322 


922933 


137 


814728 


460 


185272 


52 




9 


737855 


322 


922851 


137 


815004 


460 


184996 


51 




10 
11 


738048 


322 


922768 


138 


815279 


460 


184721 


50 

49 




9.738241 


322 


9.922686 


138 


9,815555 


459 


10.184445 




12 


738434 


322 


922603 


138 


815831 


459 


184169 


48 




13 


738627 


321 


922520 


138 


816107 


459 


183893 


47 




14 


738820 


321 


922438 


138 


816382 


459 


183618 


46 




15 


739013 


321 


922355 


138 


816658 


459 


183342 


45 




16 


739206 


321 


922272 


138 


816933 


459 


183067 


44 




17 


739398 


321 


922189 


138 


817209 


459 


182791 


43 




18 


739590 


320 


922106 


138 


817484 


459 


182516 


42 




19 


739783 


320 


922023 


138 


817759 


459 


182241 


41 




20 
21 


739975 


320 


921940 


138 


818035 


458 


181965 


40 
39 




9.740167 


320 


9.921857 


139 


9.818310 


458 


10,181690 




22 


740359 


320 


d21774 


139 


818585 


458 


181415 


38 




23 


740550 


319 


921691 


139 


818860 


458 


181140 


37 




24 


740742 


319 


921607 


1.39 


819135 


458 


180865 


36 




25 


740934 


319 


921524 


139 


819410 


458 


180590 


35 




26 


741125 


319 


921441 


139 


819684 


458 


180316 


34 




27 


741316 


319 


921357 


139 


819959 


458 


180041 


33 




28 


741508 


318 


921274 


139 


820234 


458 


179766 


32 




29 


741699 


318 


921190 


139 


820508 


457 


179492 


31 




30 
31 


741889 


318 


921107 


139 


820783 


457 


179217 


30 
29 




9.742080 


318 


9.921023 


139 


9.821057 


457 


10.178943 




32 


742271 


318 


920939 


140 


821332 


457 


178668 


28 




33 


742462 


317 


920856 


140 


821606 


457 


178394 


27 




34 


742652 


317 


920772 


140 


821880 


457 


178120 


26. 




35 


742842 


317 


920688 


140 


822154 


457 


177846 


25 




36 


743033 


317 


920604 


140 


822429 


457 


177571 


24 




37 


743223 


317 


920520 


140 


822703 


457 


1T7297 


23 




38 


743413 


316 


920436 


140 


822977 


456 


177023 


22 




39 


743602 


316 


920352 


140 


823250 


456 


176750 


21 




40 
41 


743792 


316 


920268 


140 
140 


823524 
9.823798 


456 


176476 


23 
19 




9.743982 


316 


9.920184 


456 


10.176202 




42 


744171 


316 


920099 


140 


824072 


456 


175928 


18 




43 


744361 


315 


920015 


140 


824345 


456 


175655 


17 




44 


744550 


315 


919931 


141 


824619 


456 


175381 


16 




45 


744739 


315 


919846 


141 


824893 


456 


175107 


15 




46 


744928 


315 


919762 


141 


825166 


456 


174834 


14 




47 


745117 


315 


919677 


141 


825439 


455 


174561 


13 




48 


745306 


314 


919593 


141 


825713 


455 


174287 


12 




49 


745494 


314 


919508 


141 


825986 


455 


174014 


11 




50 
51 


745683 


314 


919424 


141 
141 


826259 


455 


173741 


10 
9 




9.745871 


314 


9.919339 


9.826532 


455 


la. 173468 




52 


746059 


314 


919254 


141 


826805 


455 


173195 


8 




53 


746248 


313 


919169 


141 


827078 


455 


172922 


7 




54 


746436 


313 


919085 


141 


827351 


455 


172649 


6 




55 


746624 


313 


919000 


141 


827624 


455 


172376 


5 




56 


746812 


313 


918915 


142 


827897 


454 


172103 


4 




67 


746999 


313 


918830 


142 


828170 


454 


171830 


3 




58 


747187 


312 


918745 


142 


82S442 


454 


171558 


2 




69 


747374 


312 


918659 


142 


828715 


454 


171285 1 




60 


747562 


312 


918574 


142 


828987 


454 


171013 




n 


Cosine | 


1 


Siae 1 1 


Cotang. 1 


====, 


Tang. |M. 



S6 Degrees. 



52 


(34 Degr 


eesO A 


TABLE OF LOGARITHMIC 






Sine 


D. 1 


Cosine i D. | 


Tang. 1 


D. 1 


Cotang. 1 1 





9.747562 


312 


9.918574 


142 


9.828987 


454 


10.171013 


W 


1 


747749 


312 


918489 


142 


829260 


454 


170740 


59 


2 


747936 


312 


918404 


142 


829532 


454 


170468 


58 


3 


748123 


311 


918318 


142 


829805 


454 


170195 


57 


4 


748310 


311 


918233 


142 


830077 


454 


169923 


56 


5 


748497 


311 


918147 


142 


830349 


453 


169651 


55 


6 


748683 


311 


918062 


142 


830621 


453 


169379 


54 


7 


748870 


311 


917976 


143 


830893 


453 


169107 


53 


8 


749056 


310 


917891 


143 


831165 


453 


168835 


52 


9 


749243 


310 


917805 


143 


831437 


453 


168563 


51 


10 
11 


749429 


310 


917719 


143 


831709 


453 


168291 


50 
49 


9.749615 


310 


9.917634 


143 


9.831981 


453 


10.168019 


12 


749801 


310 


917548 


143 


832253 


453 


167747 


48 


13 


749987 


309 


917462 


143 


832525 


453 


167475 


47 


14 


7.50172 


309 


917376 


143 


832796 


453 


167204 


46 


15 


750.358 


309 


917290 


143 


833068 


452 


166932 


45 


16 


750543 


309 


917204 


143 


833339 


452 


166661 


44 


17 


750729 


309 


917118 


144 


833611 


453 


166389 


43 


18 


750914 


308 


917032 


144 


833882 


452 


166118 


42 


19 


751099 


308 


916946 


144 


834154 


452 


165846 


41 


20 
21 


751284 


308 


916859 
9.916773 


144 
144 


834425 


452 


165575 


40 
39 


9.751469 


308 


9.834696 


452 


10.165304 


22 


7516.54 


308 


916687 


144 


834967 


452 


165033 


38 


23 


751839 


308 


916600 


144 


835238 


452 


164762 


37 


24 


752023 


307 


916514 


144 


835509 


452 


164491 


36 


25 


752208 


307 


916427 


144 


835780 


451 


164220 


35 


26 


752392 


307 


916341 


144 


836051 


451 


163949 


34 


27 


752576 


307 


916254 


144 


836322 


451 


163678 


33 


28 


752760 


307 


916167 


145 


836.593 


451 


163407 


32 


2'J 


752944 


306 


916081 


145 


836864 


451 


1631.36 


31 


30 

31 


753128 
9.753312 


306 


915994 
9.915907 


145 
145 


837134 


451 


1628G6 


30 
29 


306 


9.837405 


451 


10.162595 


32 


753495 


306 


91,5820 


145 


837675 


451 


162325 


28 


33 


753679 


306 


915733 


145 


837946 


451 


1620.54 


27 


34 


753862 


305 


91.5646 


145 


838216 


451 


161784 


26 


35 


754046 


305 


91.5.559 


145 


838487 


450 


161513 


25 


36 


754229 


305 


915472 


145 


838757 


450 


161243 


24 


37 


754412 


305 


915385 


145 


839027 


450 


160973 


23 


38 


7.54595 


305 


915297 


145 


839297 


450 


160703 


22 


39 


754778 


304 


91.5210 


145 


839568 


450 


160432 


21 


40 
41 


7549GQ 


304 


915123 
9.91503.) 


146 
146 


839838 


450 


160162 
10.159892 


20 
19 


9.755143 


304 


9.840108 


450 


42 


755326 


304 


914948 


146 


840378 


450 


159622 


18 


43 


755508 


304 


914860 


146 


840647 


450 


1593.53 


17 


44 


755690 


304 


914773 


146 


840917 


440 


1.59083 


16 


45 


755872 


303 


914685 


146 


841187 


449 


158813 


15 


46 


7560.54 


303 


914.598 


146 


8414.57 


449 


158.543 


14 


47 


756236 


303 


914510 


146 


841726 


449 


158274 


13 


48 


756418 


303 


914422 


146 


841996 


449 


158004 


12 


49 


756600 


303 


914334 


146 


842266 


449 


157734 


11 


50 

51 


756782 


302 


914246 
9.9141.58 


147 
147 


842535 


449 


157465 


10 
9 


9.756963 


302 


9.842805 


449 


10.1.57195 


52 


757144 


302 


914070 


147 


843074 


449 


156926 


8 


53 


757326 


302 


913982 


147 


843343 


449 


1566.57 


7 


54 


757507 


302 


913894 


147 


843612 


449 


156388 


6 


55 


757688 


301 


913806 


147 


843882 


448 


156118 


5 


56 


757869 


301 


913718 


147 


844151 


448 


15.5849 


4 


57 


758050 


301 


913630 


147 


844420 


443 


15558C 


3 


58 


758230 


301 


913.541 


147 


844689 


448 


15.5311 


2 


59 


7.58411 


.301 


9134.53 


147 


844958 


448 


155042 


1 


60 


758591 


301 


913365 


147 


845227 


448 


154773 






Sine I 



I M. 



55 degrees. 







SINES AND TANGENTS 


. (35 Degrees 


.) 


53 




M. 


1 Sine 


1 D. 


1 Cosine 1 n. 


1 Tane. 


D. 


1 Coigns. I 1 




T 


9.758591 


.301 


9.913365 


147 


9.845227 


448 


10.154773 


60 




1 


758772 


300 


913276 


147 


845496 


448 


154504 


59 




2 


758952 


300 


913187 


148 


845764 


448 


154236 


58 




3 


759132 


300 


913099 


148 


846033 


448 


153967 


57 




4 


759312 


300 


913010 


148 


846302 


448 


153698 


56 




5 


759492 


300 


912922 


148 


846570 


447 


153430 


55 




6 


759672 


299 


912833 


148 


846839 


447 


153161 


54 




7 


759852 


299 


912744 


148 


847107 


447 


152893 


53 




8 


760031 


299 


912655 


148 


847376 


447 


1,52624 


52 




9 


760211 


299 


912566 


148 


847644 


447 


152356 


51 




10 
11 


760390 


299 


912477 


148 
148 


847913 


447 


i52087 


50 

49 




9.760569 


298 


9.912388 


9.848181 


447 


10.151819 




12 


760748 


298 


912299 


149 


848449 


447 


151551 


48 




13 


760927 


298 


912210 


149 


848717 


447 


151283 


47 




14 


761106 


298 


912121 


149 


848986 


447 


151014 


46 




15 


761285 


298 


912031 


149 


849254 


447 


150746 


45 




16 


761464 


298 


911942 


149 


849522 


447 


150478 


44 




17 


761642 


297 


911853 


149 


849790 


446 


150210 


43 




18 


761821 


297 


911763 


149 


850058 


446 


149942 


42 




19 


761999 


297 


911674 


149 


830325 


446 


149675 


41 




20 
21 


762177 


297 


911584 


149 


850593 


446 


149407 


40 
39 




9.762358 


297 


9.911495 


149 


9.850861 


446 


10,149139 




22 


762534 


296 


911405 


149 


851129 


446 


148871 


38 




23 


762712 


296 


911315 


150 


851396 


446 


148604 


37 




24 


762889 


296 


911226 


150 


851664 


446 


148336 


36 




25 


763067 


296 


911136 


150 


851931 


446 


148069 


35 




26 


763245 


296 


911046 


150 


852199 


446 


147801 


34 




27 


763422 


296 


910956 


150 


852466 


446 


147534 


33 




28 


763600 


295 


910866 


150 


852733 


445 


147267 


32 




29 


763777 


295 


910776 


150 


853001 


445 


146999 


31 




30 
31 


763954 


295 


910686 


150 
150 


853268 


445 


146732 


30 

29 




9.764131 


295 


9,910596 


9.853535 


445 


10,146465 




32 


764308 


295 


910506 


150 


853802 


445 


146198 


28 




33 


764485 


294 


910415 


150 


854069 


445 , 


145931 


27 




34 


764662 


294 


910325 


151 


854336 


445 


145664 


26 




35 


764838 


294 


910235 


151 


854603 


445 


145397 


25 




36 


765015 


294 


910144 


151 


854870 


445 


145130 


24 




37 


765191 


294 


910054 


151 


855137 


445 


144863 


23 




38 


765367 


294 


909963 


151 


855404 


445 


144596 


22 




39 


765544 


293 


909873 


151 


855671 


444 


144329 


21 




40 
41 


765720 


293 


909782 
9,909691 


151 
151 


855938 


444 


144062 
10. 143796 


20 
19 




9.765896 


293 


9.856204 


444 




42 


766072 


293 


999601 


151 


856471 


444 


143529 


18 




43 


766247 


293 


909510 


151 


856737 


444 


143263 


17 




44 


766423 


293 


909419 


151 


857004 


444 


142996 


16 




45 


766598 


292 


909328 


152 


857270 


444 


142730 


15 




46 


766774 


292 


909237 


152 


857537 


444 


142463 


14 




47 


766^949 


292 


909146 


152 


857803 


444 


142197 


13 




48 


767124 


292 


909055 


152 


858069 


444 


141931 


12 




49 


767300 


292 


908964 


152 


858336 


444 


141664 


11 




50 
51 


767475 


291 


908873 


152 
152 


858602 


443 


141398 


10 
9 




9.767649 


291 


9.908781 


9.858868 


443 


10.141132 




52 


767824 


291 


908690 


152 


859134 


443 


140866 


8 




53 


767999 


291 


908599 


152 


859400 


443 


140600 


7 




54 


768173 


291 


908507 


152 


859666 


443 


140334 


6 




55 


768348 


290 


908416 


153 


859932 


443 


140068 


5 




56 


768522 


290 


908324 


153 


860198 


443 


139802 


4 




57 


768697 


290 


908233 


153 


860464 


443 


139536 


3 




58 


768871 


290 


908141 


153 


S60730 


443 


139270 


2 




59 


769045 


290 


908049 


153 


860995 


443 


139005 


1 




60 


7693191 


290 


907958 153^ 


861261 


443 


138739 







LI 


Cosine i 


1 


Si.n. t ^ 


Ucrtang. •) 


1 


'^rang. |M.| 



54 Pe^rees. 



64 


(36 Degrees.) a 


rABLE OF liObrAKlTHIltte 






ITi 


Sine 1 


I^. 1 


Cn.i„e 1 n. 1 


■I'nnL'. 1 


D. 1 


Coiang. 1 


"" 





9.769219 


290 


9.9079581 


153 


9.861261 


443 


10.138739 


60 


1 


769393 


289 


907866 


1.53 


861527 


443 


138473 


59 


2 


769566 


289 


907774 


153 


861792 


442 


138208 


58 


3 


769740 


289 


907682 


153 


862058 


442 


137942 


57 




4 


769913 


289 


907500 


153 


862323 


442 


137677 


56 




5 


770087 


289 


907498 


153 


862589 


442 


137411 


55 




6 


770260 


288 


907406 


153 


862854 


442 


137146 


54 




7 


770433 


288 


907314 


154 


863119 


442 


136881 


53 




8 


770606 


288 


907222 


154 


863385 


442 


136615 


52 




9 


770779 


288 


907129 


1.54 


863650 


442 


136350 


51 




10 
11 


770952 


288 


907037 


154 


863915 


442 


136085 
10.135820 


50 

49 




9.771125 


288 


9 906945 


154 


9.864180 


442 




12 


771298 


287 


906852 


154 


864445 


442 


135555 


48 




13 


771470 


287 


906760 


154 


864710 


442 


13.5290 


47 




14 


771643 


287 


906667 


154 


864975 


441 


13,5025 


46 




15 


771815 


287 


906575 


154 


865240 


441 


134760 


45 




16 


771987 


287 


906482 


154 


865505 


441 


134495 


44 




17 


772159 


287 


906389 


155 


865770 


441 


134230 


43 




18 


772331 


286 


906296 


155 


866035 


441 


133965 


42 




19 


772503 


286 


906204 


155 


866300 


441 


133700 


41 




20 

21 


772675 


286 


906111 


155 
155 


866561 


441 


133436 


40 
39 




9.772847 


286 


9.906018 


9.866829 


441 


10.133171 




22 


773018 


286 


905925 


155 


867094 


441 


132906 


38 




23 


773190 


286 


905832 


155 


867358 


441 


132642 


37 




24 


773361 


285 


905739 


155 


867623 


441 


132377 


36 




25 


773533 


285 


905645 


155 


867887 


441 


132113 


35 




26 


773704 


285 


905552 


155 


868152 


440 


131848 


34 




27 


773875 


285 


905459 


1.55 


868416 


440 


131584 


33 




28 


774046 


285 


905366 


156 


868680 


440 


131.320 


32 




29 


774217 


285 


905272 


156 


868945 


440 


131055 


31 




30 
31 


774388 


284 


905179 


156 
156 


869209 


440 


130791 
10.130527 


30 
29 




9.774558 


284 


9.905085 


9.869473 


440 




82 


774729 


284 


904992 


156 


869737 


440 


130263 


28 




33 


774899 


284 


904898 


156 


870001 


440 


129999 


27 




34 


775070 


284 


904804 


156 


870265 


440 


129735 


26 




35 


775240 


284 


904711 


156 


870529 


440 


129471 


25 




36 


775410 


283 


904617 


156 


870793 


440 


129207 


24 




37 


775580 


283 


904523 


156 


871057 


440 


128943 


23 




38 


775750 


283 


904429 


157 


871321 


440 


128679 


22 




39 


775920 


283 


904335 


157 


871.585 


440 


128415 


21 




40 
41 


776090 


283 


904241 


157 
157 


871849 


439 


128151 


20 
19 




9.776259 


283 


9.904147 


9.872112 


439 


10.127888 




42 


776429 


282 


904053 


157 


872376 


439 


127624 


18 




43 


776598 


282 


903959 


157 


872640 


439 


127360 


17 




44 


776768 


282 


903864 


157 


872903 


439 


127097 


16 




45 


776937 


282 


903770 


157 


873167 


439 


126833 


15 




46 


777106 


282 


903676 


157 


873430 


439 


126570 


14 




47 


777275 


281 


903581 


157 


873694 


439 


126306 


13 




48 


777444 


281 


903487 


157 


873957 


439 


12604S 


12 




49 


777613 


281 


903392 


158 


874220 


439 


12578C 


11 




50 
51 


777781 


281 


903298 


158 

158 


874484 


439 


125516 


10 
9 




9.777950 


281 


9.903203 


9.87474? 


439 


10.12.525C 




52 


778119 


281 


903108 


158 


87501C 


439 


12499C 


8 




53 


778287 


280 


903014 


158 


87527S 


438 


12472'- 


7 




64 


778455 


280 


902919 


158 


875536 


438 


12446^ 


[ 6 




55 


778624 


280 


902824 


158 


87580C 


438 


124201 


) 6 




56 


778792 


280 


902729 


1.58 


87606S 


438 


12393- 


r 4 




57 


778960 


230 


902634 


158 


876326 


438 


12367'^ 


t 3 




58 


779 12S 


280 


902539 


159 


87658S 


438 


123411 


2 




59 


77929? 


279 


902444 


159 


876851 


438 


123l4t 


1 




60 


I 77946C 


279 


. 9023491 159 


877114 


438 


122886 









1 Cosine 


1 


1 Sine 1 


1 C'otang. 


i 


1 Tang. |M. 





SINES AND TANGENi's. (37 Degrees.) 



55 



M.| 


Sine 1 


D. 1 


Cosine 1 D. | Tai.a. | 


n. 1 


Cotatia. 1 1 







9.779463 
779631 


279 


9.902349 


159 


9.877114 


438 


10.122886 


60 




1 


279 


902253 


159 


877377 


438 


122623 


59 




2 


779798 


279 


902158 


159 


877640 


438 


122360 


58 




3 


779966 


279 


902063 


159 


877903 


438 


122097 


57 




4 


780133 


279 


901967 


159 


878165 


438 


121835 


56 




5 


780300 


278 


901872 


159 


878428 


438 


121572 


55 




6 


780467 


278 


901776 


159 


878691 


438 


121309 


54 




7 


780634 


278 


901681 


159 


878953 


437 


121047 


53 




8 


780801 


278 


901585 


159 


879216 


437 


120784 


52 




9 


780968 


278 


901490 


159 


879478 


437 


120522 


51 




10 
11 


781134 


278 


901394 


160 
160 


879741 
9.880003 


437 


120259 


50 

49 




9.781301 


277 


9.901298 


437 


10.119997 




12 


781468 


277 


901202 


160 


880265 


437 


119735 


48 




13 


781634 


277 


901106 


160 


880528 


487 


119472 


47 




14 


781800 


277 


901010 


160 


880790 


437 


119210 


46 




15 


781966 


277 


900914 


100 


881052 


437 


118948 


45 




16 


782132 


277 


900818 


160 


881314 


437 


118686 


44 




17 


782298 


276 


900722 


160 


881576 


437 


118424 


43 




18 


782464 


276 


900626 


160 


881839 


437 


118161 


42 




19 


782630 


276 


900529 


160 


882101 


437 


117899 


41 




20 
21 


782796 


276 


900433 


161 
161 


882363 
9.882625 


436 


117637 


40 
39 




9.782961 


276 


9.900337 


436 


10.117375 




22 


783127 


276 


900240 


161 


882887 


436 


117113 


38 




23 


783292 


275 


900144 


161 


883148 


436 


116852 


37 




24 


783458 


275 


900047 


161 


883410 


436 


116590 


36 




25 


783823 


275 


899951 


161 


883672 


436 


116328 


35 




26 


783788 


275 


809854 


161 


883934 


436 


116066 


34 




27 


783953 


275 


899757 


161 


884196 


436 


115804 


33 




28 


784118 


275 


899660 


161 


884457 


436 


115543 


32 




29 


784282 


274 


899564 


161 


884719 


436 


115281 


31 




30 
31 


784447 


274 


899467 
9.899370 


162 
162 


884980 
9.885242 


436 
436 


115020 


30 

29 




9.784612 


274 


10.114758 




32 


784776 


274 


899273 


162 


885503 


436 


114497 


28 




33 


784941 


274 


899176 


162 


885765 


436 


114235 


27 




34 


785105 


274 


899078 


162 


886026 


436 


113974 


26 




35 


785269 


273 


898981 


162 


886288 


436 


113712 


25 




3fi 


785433 


273 


898884 


162 


886549 


435 


113451 


24 




37 


785597 


273 


898787 


162 


886810 


435 


113190 


23 




38 


785761 


273 


898689 


162 


887072 


435 


112928 


22 




39 


785925 


273 


898592 


162 


887333 


435 


112667 


21 




40 
41 


786089 


273 


898494 
9.898397 


163 
163 


887594 


435 
435 


112406 
10.112145 


20 
19 




9.786252 


272 


9.887855 




42 


786416 


272 


89829E 


163 


888116 


435 


111884 


18 




43 


786579 


272 


898205: 


163 


888377 


435 


111623 


17 




44 


786742 


272 


898104 


[ 16S 


88863E 


435 


111361 


16 




45 


786906 


272 


89800f 


16S 


88890C 


435 


111100 


15 




46 


78706S 


272 


89790f 


16S 


88916C 


435 


110840 


14 




47 


78723S 


271 


89781( 


165 


88942 


435 


110579 


13 




48 


78739r 


271 


897715 


I 161 


889685 


I 435 


110318 


12 




49 


78755- 


271 


89761^ 


1 161 


889941 


J 435 


110057 


11 




50 
51 


78772C 


271 


89751f 
9.897415 


5 16C 

I 164 


i 89020- 


I 434 


109796 


10 
9 




9.78788C 


5 271 


1 9.89046. 


) 434 


10.109535 




52 


78804f 


) 271 


89732( 


) 16^ 


1 89072. 


) 434 


10927S 


8 




53 


78820$ 


i 271 


89722 


J 16^ 


1 89098( 


5 434 


109014 


7 




54 


78837( 


) 270 


89712 


i 164 


1 89124' 


r 434 


108753 


6 




55 


78853' 


I 270 


89702 


j m 


1 89150 


r 434 


108493 


5 




56 


78869^ 


i 270 


89692 


3 m 


1 89176J 


i 434 


108232 


4 




57 


78885 


5 270 


89682J 


i m 


1 89202 


i 434 


107972 


3 




58 


78901J 


i 270 


89872 


) m 


t 89228' 


) 434 


107711 


2 




59 


78918( 


) 270 


89663 


m 


1 89254< 


) 434 


10745 


1 




60 


78934^ 


I 269 


89653' 


I 164 


t 8928 It 


) 434 


10719C 







~ 


( Cosine 


1 


1 Sine j 1 Cotaiig. 


1 


j Tang. 1 





52 Degri 



5-6 



(38 Degrees.) a table of logarithmic 



M 


1 Sine 


1 D. 


1 Cosint' 1 D. 


1 Tan- 


1 D. 


1 Cotang. 1 




1) 


9.789345 


I 269 


9.89653-. 


. 164 9.8928101 434 


10.107190,60 




1 


78950/ 


I 269 


89643; 


165 8930701 434 


106930 59 




2 


78966£ 


269 


89633? 


165 89333 


434 


106669 .58 




3 


78982' 


269 


896236 


165 89359 


434 


106409 57 




4 


789985 


269 


89613- 


' 16.^ 


89385 


434 


10614C 


56 




5 


79014S 


269 


896038 


J 651 89411] 


434 


10,588£ 


55 




6 


790310 


268 


89593E 


16f 


89437 


434 


10562S 


54 




7 


790471 


268 


89584C 


16£ 


894632 433 


10,5368 


53 




8 


790632 


268 


895741 


16£ 


894892 433 


105108 


52 




9 


790793 


268 


895641 


16f 


895152 433 


104848 


51 




10 


790954 


268 


895542 


I6f 


895412 433 


104588 


50 




11 


9.791115 


268 


9.895443 


16e 


9.89.%72 433 


10,104328 


49 




12 


791275 


267 


895.343 


166 


895932 433 


104068 


48 




13 


791436 


267 


895244 


166 


89619S 


433 


103808 


47 




14 


791596 


267 


895145 


166 


89845^ 


433 


103,548 


46 




15 


791757 


267 


895045 


I6fa 


896712 


433 


103288 


45 




16 


791917 


267 


894945 


166 


896971 


433 


103029 


44 




17 


792077 


267 


894846 


166 


897231 


433 


102769 


43 




18 


792237 


26S 


894746 


166 


897491 


433 


102509 


42 




19 


792397 


266 


894646 


166 


89775] 


433 


102249 


41 




20 
21 


792557 


266 


894546 
9,894446 


166 
167 


898010 


433 


101990 


40 
39 




9.792716 


266 


9.898270 


433 


10.101730 




22 


792876 


266 


894346 


167 


898530 


433 


101470 


38 




23 


793035 


266 


894246 


167 


898789 


433 


101211 


37 




24 


793195 


265 


894146 


167 


899049 


432 


100951 


36 




25 


793354 


265 


894046 


167 


899308 


432 


100692 


35 




26 


793514 


265 


893946 


167 


899568 


435 


101)432 


34 




27 


793673 


265 


893846 


167 


899827 


432 


100173 


33 




28 


793832 


265 


893745 


167 


900086 


432 


099914 


32 




29 


793991 


265 


893645 


167 


900346 


432 


099654 


31 




30 
3T 


794150 


264 


893544 
9.893444 


167 
168 


900605 


432 


099395 


30 
29 




9.794308 


264 


9.900864 


432 


10.099136 




32 


794467 


264 


893343 


168 


901124 


432 


098876 


28 




33 


794626 


264 


893243 


168 


901383 


432 


098617 


27 




34 


794784 


264 


893142 


168 


901642 


432 


098358 


26 




35 


794942 


264 


893041 


168 


901901 


432 


098099 


25 




36 


795101 


264 


892940 


168 


902160 


432 


097840 


24 




37 


795259 


263 


892839 


168 


902419 


432 


097581 


23 




38 


795417 


263 


892739 


168 


902579 


432 


097321 


22 




39 


795575 


263 


892638 


168 


902938 


432 


097062 


21 




40 

41 


795733 


263 


892536 
9.892435 


168 
169 


903197 


431 


096803 


20 
19 




9.795891 


263 


9.903455 


431 


10.096545 




42 


796049 


263 


892334 


169 


903714 


431 


096286 


18 




43 


796206 


263 


8922.33 


169 


903973 


431 


096027 


17 




44 


796364 


262 


892132 


169 


904232 


431 


095768 


16 




45 


796521 


262 


892030 


169 


904491 


431 


095509 


15 




46 


796679 


262 


891929 


169 


904750 


431 


095250 


14 




47 


796836 


262 


891827 


169 


905008 


431 


094992 


13 




48 


796993 


262 


891726 


169 


905267 


431 


094733 


12 




49 


797150 


261 


891624 


169 


905526 


431 


094474 


11 




50 
51 


797307 


261 


891523 


170 
170 


905784 


431 


094216 


10 
9 




9.797464 


261 


9.891421 


9.906043 


431 


10,093957 




52 


797621 


261 


891319 


170 


906302 


431 


093698 


8 




53 


797777 


261 


891217 


170 


906560 


431 


093440 


7 




54 


797934 


261 


891115 


170 


906819 


431 


093181 


6 




55 


79S091 


261 


891013 


170 


907077 


431 


092923 


5 




56 


798247 


261 


890911 


170 


907336 


431 


092664 


4 




57 


798403 


260 


890809 


170 


907594 


431 


092406 


3 




58 


798560 


260 


890707 


170 


907852 


431 


092148 


2 




59 


798716 


260 


890605 


170 


908111 


430 


091889 1 




60 


798872 


260 


890503 1701 


908369 


430 


091631 




~r 


Cosine 1 


1 


Sine 1 1 


Cotang. 1 


1 


Tang. 1 M. 





51 Degrees. 





SINES AND TANGENTS 


. (39 Degrees.) 


67 


M. 


Sine 


D. 


Cosine 1 D. 


1 Tan,. 


D. 


Cotang. 




"o" 


9.798872 


260 


9.890503 


170 


9.908369 


430 


10.091631 


■60 


1 


799028 


260 


890400 


171 


908628 


430 


091372 


59 


2 


799184 


260 


890298 


171 


908886 


430 


091114 


58 


3 


799339 


259 


890195 


171 


909144 


430 


090856 


57 


4 


799495 


259 


890093 


171 


909402 


430 


090598 


56 


5 


799651 


259 


889990 


171 


909660 


430 


090340 


55 


6 


799806 


259 


889888 


171 


909918 


430 


090082 


54 


7 


799962 


259 


889785 


171 


910177 


4.30 


089823 


53 


8 


800117 


259 


889682 


171 


910435 


430 


089565 


52 


9 


800272 


258 


889579 


171 


910693 


430 


089307 


51 


10 
11 


800427 


258 


889477 


171 
172 


910951 


430 


089049 


50 
49 


9.800582 


258 


9.889.374 


9.911209 


430 


10.088791 


12 


800737 


258 


889271 


172 


911467 


430 


088533 


48 


13 


800892 


258 


889168 


172 


911724 


430 


088276 


47 


14 


801047 


258 


889064 


172 


911982 


430 


088018 


46 


15 


801201 


258 


888961 


172 


912240 


430 


087760 


45 


16 


801356 


237 


888858 


172 


912498 


430 


087502 


44 


17 


801511 


257 


888755 


172 


9127.56 


430 


087244 


43 


18 


801665 


257 


888651 


172 


913014 


429 


086986 


42 


19 


801819 


257 


888548 


172 


913271 


429 


086729 


41 


20 

21 


801973 


257 


888444 


173 
173 


913529 


429 


086471 


40 
39 


9.802128 


257 


9.888341 


9.913787 


429 


10.086213 


22 


802282 


256 


888237 


173 


914044 


429 


085956 


38 


23 


802436 


256 


888134 


173 


914302 


429 


08.5698 


37 


24 


802589 


256 


888030 


173 


914560 


429 


085440 


36 


25 


802743 


256 


887926 


173 


914817 


429 


085183 


35 


26 


802897 


256 


887822 


173 


91.5075 


429 


084925 


34 


27 


803050 


256 


887718 


173 


915332 


429 


084668 


33 


28 


803204 


256 


887614 


173 


915590 


429 


084410 


32 


29 


803357 


255 


887510 


173 


915847 


429 


084153 


31 


30 
31 


803511 


255 


887406 


174 

174 


916104 


429 


083896 


30 

29 


9.803664 


255 


9.887302 


9.916362 


429 


10.08.3638 


32 


803817 


255 


887198 


174 


916619 


429 


083.381 


28 


33 


803970 


255 


887093 


174 


916877 


429 


083123 


27 


34 


804123 


255 


886989 


174 


917134 


429 


082866 


26 


35 


804276 


254 


886885 


174 


917391 


429 


082600 


25 


36 


804428 


254 


886780 


174 


917648 


429 


082352 


24 


37 


804581 


254 


886676 


174 


917905 


429 


082095 


23 


38 


804734 


254 


886571 


174 


918163 


428 


081837 


22 


39 


804886 


254 


886466 


174 


918420 


428 


08^580 


21 


40 

41 


805039 


254 


886362 


175 
175 


918677 


428 


081323 


20 

rg 


9.805191 


254 


9.886257 


9.918934 


428 


10.081066 


42 


805343 


253 


886152 


175 


919191 


428 


080809 


18 


43 


805495 


253 


886047 


175 


919448 


428 


080552 


17 


44 


805647 


253 


885942 


175 


919705 


428 


080295 


16 


45 


805799 


253 


88.5837 


175 


919962 


428 


080038 


15 


46 


805951 


253 


885732 


175 


920219 


428 


079781 


14 


47 


806103 


253 


885627 


175 


920476 


428 


079524 


13 


48 


806254 


253 


885522 


175 


920733 


428 


079267 


12 


49 


806406 


252 


885416 


175 


920990 


428 


079010 


11 


50 
51 


806557 


252 


885311 


176 
176 


921247 


428 


078753 


10 
9 


9.806709 


252 


9.885205 


9.921503 


428 


10.078497 


52 


806860 


252 


885100 


176 


921760 


428 


078240 


8 


53 


807011 


252 


884994 


176 


922017 


428 


077983 


7 


54 


807163 


252 


884889 


176 


922274 


428 


0V7726 


6 


55 


807314 


252 


884783 


176 


922530 


428 


077470 


5 


56 


807465 


251 


884677 


176 


922787 


428 


077213 


4 


57 


807615 


251 


884572 


176 


923044 


428 


076956 


3 


58 


807766 


251 


884466 


176 


923300 


428 


076700 


2 


59 


807917 


251 


884360 


176 


92.3.557 


427 


076443 


1 


60 


808067 


251 


884254 


177 


923813 


427 


076187 







Cosine 




Sme 1 


1 Cotang. 


1 


Tan,.. 1 M. | 



Degrees. 

H 



53 


(40 Degrees.) a 


TABLE OP LOGARITHMIC 






M. 


1 Sine 


D. 


Cosine 


D. 


1 Tang. 


1 D. 


1 Cotaup. 1 




~ 


9.808067 


251 


9.884254 


"l77 


9.923813 


427 


10.076187 


-60 




1 


808218 


251 


884148 


177 


924070 


427 


07593U 


59 




2 


808368 


251 


884042 


177 


924327 


427 


075673 


58 




3 


808519 


250 


883936 


177 


924583 


427 


075417 


57 




4 


808669 


250 


883829 


177 


924840 


427 


075160 


56 




5 


808819 


250 


883723 


177 


925096 


427 


074904 


55 




6 


808969 


250 


883617 


177 


925352 


427 


074648 


54 




7 


809119 


250 


883510 


177 


925609 


427 


074391 


53 




8 


809269 


250 


883404 


177 


925865 


427 


074135 


52 




9 


809419 


249 


883297 


178 


926122 


427 


073878 


51 




10 


809569 


249 


883191 


178 


926378 


427 


073622 


50 




11 


9.809718 


249 


9.883084 


178 


9.926634 


427 


10.073366 


49 




12 


809868 


249 


882977 


178 


92««Qn 


427 


073110 


48 




13 


810017 


249 


882871 


178 


927147 


427 


072853 


47 




14 


810167 


249 


882764 


178 


927403 


427 


072597 


46 




15 


810316 


248 


882657 


178 


927659 


427 


072341 


45 




16 


810465 


248 


882550 


178 


927915 


427 


072085 


44 




17 


810614 


248 


882443 


178 


928171 


427 


071829 


43 




18 


810763 


248 


882336 


179 


928427 


427 


071573 


42 




19 


810912 


248 


882229 


179 


928683 


427 


071317 


41 




20 
21 


811061 


248 


882121 


179 
179 


928940 
9.929196 


427 
427 


071060 


40 
39 




9.811210 


248 


9.882014 


10.070804 




22 


811358 


247 


881907 


179 


929452 


427 


070548 


38 




23 


811507 


247 


881799 


179 


929708 


427 


070292 


37 




24 


811655 


247 


881692 


179 


929964 


426 


070036 


36 




25 


811804 


247 


881584 


179 


930220 


426 


069780 


35 




26 


811952 


247 


881477 


179 


930475 


426 


069525 


34 




27 


812100 


247 


881369 


179 


930731 


426 


069269 


33 




28 


812248 


247 


881261 


180 


930987 


428 


069013 


32 




29 


812396 


246 


881153 


180 


.931243 


426 


068757 


31 




30 


812544 


246 


881046 


ISO 


931499 


426 


068501 


30 




3i 


9.812692 


246 


9.880938 


180 


9.931755 


426 


10.068245 


29 




32 


812840 


246 


880830 


180 


932010 


426 


067990 


28 




33 


812988 


246 


880722 


180 


932266 


426 


067734 


27 




34 


813135 


246 


880613 


180 


932522 


426 


067478 


26 




35 


813283 


246 


880505 


180 


932778 


426 


067222 


25 




36 


813430 


245 


880397 


180 


933033 


426 


066967 


24 




37 


813578 


245 


880289 


181 


933289 


426 


066711 


23 




38 


813725 


245 


880180 


181 


933545 


426 


066455 


22 




39 


813872 


245 


880072 


181 


933800 


426 


066200 


21 




40 
4T 


814019 


245 


879963 
9.879855 


181 
181 


934056 


426 


065944 


20 

19 




9.814166 


245 


9.934311 


426 


10.065689 




42 


814313 


245 


879746 


181 


934567 


426 


065433 


18 




43 


814460 


244 


879637 


181 


934823 


426 


065177 


17 




44 


814607 


244 


879529 


181 


935078 


426 


064922 


16 




45 


814753 


244 


879420 


181 


935333 


426 


064667 


15 




46 


814900 


244 


879311 


181 


935.589 


426 


064411 


14 




47 


815046 


244 


879202 


182 


935844 


426 


064156 


13 




48 


815193 


244 


879093 


182 


936100 


426 


063900 


12 




49 


815339 


244 


878984 


182 


936355 


426 


063645 


11 




50 
51 


815485 


243 


878875 
9.878766 


182 

182 


936610 


426 


063390 
10.063134 


10 
& 




9.815631 


243 


9.936866 


425 




52 


815778 


243 


878656 


182 


937121 


425 


062879 


8 




53 


815924 


243 


878547 


182 


937376 


425 


062624 


7 




54 


816069 


243 


878438 


182 


937632 


425 


062368 


6 




55 


816215 


243 


878328 


182 


937887 


425 


062113 


5 




56 


816361 


243 


878219 


183 


938142 


425 


0618.58 


4 




57 


816507 


242 


878109 


183 


938398 


425 


061602 


3 




58 


816652 


242 


877999 183 


938653 


425 


061347 2 




59 


816798 


242 


877890 183 


938908 


425 


061092 1 




60 


816943 


242 


8777801 183 


939163 


425 


060837 




~ 


Cosine 




Sine 1 


Colang. 




Tang. |M. 





Degrees. 





SINES AND TANGENTS 


(41 Degrees 


) 


69 


M. 


Sine 


D. 


Cosine 1 D. ] 


Tan^. 


D. 


Cotanp. 1 1 


~~o 


9.816943 


242 


9.877780 


183 


9.939163 


425 


10.060837 


60 


1 


817088 


242 


877670 


183 


939418 


425 


060582 


59 


2 


817233 


242 


877560 


183 


939673 


425 


060327 


58 


3 


817379 


242 


877450 


183 


939928 


425 


060072 


57 


4 


817524 


241 


877340 


183 


940183 


425 


059817 


56 


5 


817668 


241 


877230 


184 


940438 


425 


059562 


55 


6 


817813 


241 


877120 


184 


940694 


425 


059306 


54 


7 


817958 


241 


877010 


184 


940949 


425 


059051 


53 


8 


818103 


241 


876899 


184 


941204 


425 


058796 


52 


9 


818247 


241 


876789 


184 


941458 


425 


058542 


51 


10 
11 


818392 


241 


876678 


184 
184 


941714 


425 


058286 


50 
49 


9.818536 


240 


9.876568 


9.941968 


425 


10.058032 


12 


818681 


240 


876457 


184 


942223 


425 


057777 


4S 


13 


818825 


240 


876347 


184 


942478 


425 


057522 


47 


14 


818969 


240 


876236 


185 


942733 


425 


057267 


46 


15 


819113 


240 


876125 


185 


942988 


425 


057012 


45 


16 


819257 


240 


876014 


185 


943243 


425 


056757 


44 


17 


819401 


240 


875904 


185 


943498 


425 


056502 


43 


18 


819545 


239 


875793 


185 


943752 


425 


056248 


42 


19 


819689 


239 


875682 


185 


944007 


425 


055993 


41 


20 

21 


819832 


239 


875571 


185 
185 


944262 
9.944517 


425 


055738 
10.055483 


40 
39 


9.819976 


239 


9.875459 


425 


22 


820120 


239 


875348 


185 


944771 


424 


055229 


38 


23 


820263 


239 


875237 


185 


945026 


424 


054974 


37 


24 


820406 


239 


875126 


186 


945281 


424 


054719 


36 


25 


820550 


238 


875014 


186 


945535 


424 


054465 


35 


26 


820693 


238 


874903 


186 


945790 


424 


054210 


34 


27 


820836 


238 


874791 


186 


946045 


424 


053955 


33 


28 


820979 


238 


874680 


186 


946299 


424 


053701 


32 


29 


821122 


238 


874568 


186 


946554 


424 


053446 


31 


30 
31 


821265 


238 


874456 


186 
186 


946808 


424 


053192 


30 

29 


9.821407 


238 


9.874344 


9.947063 


424 


10.052937 


32 


821550 


238 


874232 


187 


947318 


424 


052682 


28 


33 


821693 


237 


874121 


187 


947572 


424 


052428 


27 


34 


821835 


237 


874009 


187 


947826 


424 


0.52174 


26 


35 


821977 


237 


873896 


187 


948081 


424 


051919 


25 


36 


822120 


237 


873784 


187 


948336 


424 


051664 


24 


37 


822262 


237 


873672 


187 


948590 


424 


051410 


23 


38 


822404 


237 


873560 


187 


948844 


424 


051156 


22 


39 


822546 


237 


873448 


187 


949099 


424 


050901 


21 


40 
41 


822688 


236 


873335 
9.873223 


187 
187 


949353 


424 


050647 


20 
19 


9.822830 


236 


9.949607 


424 


10.050393 


42 


822972 


236 


873110 


188 


949862 


424 


050138 


18 


43 


823114 


236 


872998 


188 


950116 


424 


049884 


17 


44 


823255 


236 


872885 


188 


950370 


424 


049630 


16 


45 


823397 


236 


872772 


188 


950625 


424 


049375 


15 


46 


823539 


236 


872659 


188 


950879 


424 


049121 


14 


47 


823680 


. 235 


872547 


188 


951133 


424 


048867 


13 


48 


82382-1 


235 


872434 


188 


951388 


424 


048612 


12 


49 


823963 


235 


872321 


188 


951642 


424 


048358 


11 


50 
51 


824104 


235 


872208 
9.872095 


188 
189 


951896 


424 


048104 


10 
9 


9.824245 


235 


9.952150 


424 


10.047850 


52 


824386 


235 


871981 


189 


952405 


424 


047595 


8 


53 


824527 


235 


871868 


189 


952659 


424 


047341 


7 


54 


824668 


234 


871755 


189 


952913 


424 


047087 


6 


55 


824808 


234 


871641 


189 


953107 


423 


046833 


5 


56 


824949 


234 


871528 


189 


953421 


423 


046579 


4 


57 


825090 


234 


871414 


189 


953675 


423 


046325 


3 


58 


825230 


234 


871301 


189 


953929 


423 


046071 


2 


59 


825371 


234 


871187 


189 


954183 


423 


045817 


1 


60 


82551] 


234 


87x073 


190 


954437 


423 


045563 





C 


Cosine 




yi:,e 1 


C.uinir 




Tang. 1 M. 1 



48 Degrees. 



60 


(42 Degrees.) a 


TABLE OF LOGARITHMIC 




M. 


1 Sine 


D. 


Cnsino 


_n_ 


Tan.. 


n. 


Con.n.. 1 1 


~o' 


9.825511 


234 


9.871073 


190 


9.954437 


423 


10.045563! fini 


1 


825651 


233 


870960 


190 


954691 


423 


045309 


59 


2 


825791 


233 


870846 


190 


954945 


423 


045055 


68 


3 


825931 


233 


870732 


190 


955200 


423 


044800 


57 


4 


826071 


233 


870618 


190 


955454 


423 


044546 


56 


5 


826211 


233 


870504 


190 


955707 


423 


044293 


55 


6 


826351 


233 


870390 


190 


955961 


423 


044039 


54 


7 


826491 


233 


870276 


190 


956215 


423 


043785 


53 


8 


826631 


233 


870161 


190 


956469 


423 


043531 


52 


9 


826770 


232 


870047 


191 


956723 


423 


043277 


51 


10 
11 


826910 


232 


869933 
9.869818 


191 
191 


950977 
9.957231 


423 
423 


043023 
10.042769 


50 
49 


9.827049 


232 


12 


827189 


232 


869704 


191 


957485 


423 


042515 


48 


13 


827328 


232 


869589 


191 


957739 


423 


042261 


47 


14 


827467 


232 


869474 


191 


957993 


423 


042007 


46 


15 


827600 


232 


869360 


191 


958246 


423 


041754 


45 


16 


827745 


232 


869245 


191 


958500 


423 


041500 


44 


17 


827884 


231 


869130 


191 


9587.54 


423 


041246 


43 


18 


828^23 


231 


869015 


192 


959008 


423 


040992 


42 


19 


828162 


231 


868900 


192 


959262 


423 


040738 


41 


20 
21 


828301 


231 


868785 
9.868670 


192 
192 


959516 


423 


040484 


40 
39 


9.828439 


231 


9.959769 


423 


10.040231 


22 


828578 


231 


868555 


192 


960023 


423 


039977 


38 


23 


828716 


231 


868440 


192 


960277 


423 


039723 


37 


24 


828855 


230 


868324 


192 


960531 


423 


039469 


36 


25 


828993 


230 


868209 


192 


960784 


423 


039216 


35 


26 


829131 


230 


868093 


192 


961038 


423 


038962 


34 


27 


829269 


230 


867978 


193 


961291 


423 


038709 


33 


28 


829407 


230 


867862 


193 


961.545 


423 


038455 


32 


29 


829545 


230 


867747 


193 


961799 


423 


038201 


31 


30 
31 


829683 


230 


867631 


193 
193 


962052 


423 


037948 
10.037694 


30 
29 


9.829821 


229 


9.867515 


9.962306 


423 


32 


829959 


229 


867399 


193 


962560 


423 


037440 


28 


33 


830097 


229 


867283 


193 


962813 


423 


037187 


27 


34 


830234 


229 


867167 


193 


963067 


423 


036933 


26 


35 


830372 


229 


867051 


193 


963320 


423 


036680 


26 


36 


830509 


229 


866935 


194 


963574 


423 


036426 


24 


37 


830646 


229 


866819 


194 


963827 


423 


036173 


23 


38 


830784 


229 


866703 


194 


964081 


423 


03.5919 


22 


39 


8,30921 


228 


866586 


194 


964335 


423 


035665 


21 


40 
41 


831058 


228 


866470 


194 
194 


964588 


422 


035412 
10.035158 


20 
19 


9.831195 


228 


9.866353 


9.964842 


422 


42 


8313.32 


228 


866237 


194 


965095 


422 


034906 


18 


43 


831469 


228 


866120 


194 


965.349 


422 


034651 


17 


44 


831606 


228 


866004 


195 


965602 


422 


034398 


16 


45 


831742 


228 


865887 


195 


965855 


422 


034145 


15 


46 


831879 


228 


865770 


195 


966109 


422 


0.33891 


14 


47 


832015 


227 


865653 


195 


966362 


422 


033638 


13 


48 


832152 


227 


865536 


195 


966616 


422 


033384 


12 


49 


832288 


227 


86i5419 


195 


966869 


422 


033131 


11 


50 
51 


832425 


227 


865302 


195 
195 


967123 


422 


032877 


10 
9 


9.832561 


227 


9.865185 


9.967376 


422 


10.032624 


52 


832697 


227 


865068 


195 


967629 


422 


032371 


8 


53 


832833 


227 


8649.50 


195 


967883 


422 


032117 


7 


54 


832969 


226 


864833 


196 


968136 


422 


031864 


6 


55 


833105 


226 


864716 


196 


908389 


422 


031611 


6 


56 


833241 


226 


864598 


196 


968643 


422 


031357 4| 


57 


833377 


226 


864481 


196 


968896 


422 


031104 


3 


58 


833512 


226 


864363 


196 


969149 


422 


030851 


2 


59 


833648 


226 


864245 


196 


969403 


422 


030597 


1 


60 


833783 


226 


864127' 196 


969656 


422 


030344 







1 Cosine 




Sine 1 


Cc.Uuif.. 




Tung. |M.| 



47 Degr( 



SINES AND TANGENTS. (43 Degrees.) 



61 





M 1 


Sine 1 


». 1 


0..in.. D. 1 


Ta,... 1 


D. 1 


Co,:,„e. 1 







9.833783 


226 1 


9.864127 


196 


9.969656 


422 


10.030344 60 




1 


833919 


225 


864010 


196 


969909 


422 


030091 


59 




2 


834054 


225 


863892 


197 


970162 


422 


029838 


58 




3 


834189 


225 


863774 


197 


970416 


422 


029584 


57 




4 


834325 


225 


863656 


197 


970669 


422 


029331 


50 




5 


834460 


225 


863538 


197 


970922 


422 


029078 


55 




6 


834595 


225 


863419 


197 


971175 


422 


028825 


54 




7 


834730 


225 


863301 


197 


971429 


422 


028571 


53 




8 


834865 


225 


863183 


197 


971682 


422 


028318 52 1 




9 


834999 


224 


863064 


197 


971935 


422 


0280651 51 1 




10 
11 


835134 


224 


862946 
9.862827 


198 
198 


972188 


422 


0278121 


50 




9.835269 


224 


9.972441 


422 


10. 027559 1 


49 




12 


835403 


224 


862709 


198 


972694 


422 


027306 


48 




13 


835538 


224 


862590 


198 


972948 


422 


027052 


47 




14 


835672 


224 


862471 


198 


973201 


422 


026799 


46 




15 


835807 


224 


862353 


198 


973454 


422 


026546 


45 




16 


835941 


224 


862234 


198 


973707 


422 


026293 


44 




17 


836075 


223 


802115 


198 


973960 


422 


026040 


43 




18 


836209 


223 


861996 


198 


974213 


422 


025787 


42 




19 


836343 


223 


861877 


198 


974466 


422 


025534 


41 




20 


836477 


223 


861758 


199 


974719 


422 


025281 


40 




21 


9. 8366 U 


223 


9.861638 


199 


9.974973 


422 


10.025027 


39 




22 


836745 


223 


861519 


199 


975226 


422 


024774 


38 




23 


836878 


223 


861400 


199 


975479 


422 


024521 


37 




24 


837012 


222 


861280 


199 


975732 


422 


024268 


36 




25 


837146 


222 


861161 


199 


975985 


422 


024015 


35 




26 


837279 


222 


861041 


199 


976238 


422 


023762 


34 




27 


837412 


222 


860922 


199 


976491 


422 


023509 


33 




28 


837546 


222 


800802 


199 


976744 


422 


023256 


32 




29 


837679 


222 


860682 


200 


976997 


422 


023003 


31 




30 
31 


837812 


222 


860562 


200 
200 


977250 


422 


022750 


30 

29 


9.837945 


222 


9.860442 


9.977503 


422 


10.022497 




32 


838078 


221 


860322 


200 


977756 


422 


022244 


28 




33 


838211 


221 


860202 


200 


978009 


422 


021991 


27 




34 


838344 


221 


860082 


200 


978262 


422 


021738 


26 




35 


838477 


221 


859962 


200 


978515 


422 


021485 


25 




36 


838610 


221 


859842 


200 


978768 


422 


021232 


24 




37 


838742 


'221 


859721 


201 


979021 


422 


020979 


23 




38 


838875 


221 


859601 


201 


979274 


422 


020726 


22 




39 


839007 


221 


859480 


201 


979527 


422 


020473 


21 




40 
41 


839140 


220 


859360 


201 
201 


979780 


422 


020220 
10.019967 


20 
19 


9.839272 


220 


9.859239 


9.980033 


422 




42 


839404 


220 


859119 


201 


980286 


422 


019714 


18 




43 


839536 


220 


858998 


201 


980538 


422 


019462 


17 




44 


839668 


220 


858877 


201 


980791 


421 


019209 


IG 




45 


839800 


220 


858756 


202 


981044 


421 


018956 


15 




46 


839932 


220 


858635 


202 


981297 


421 


018703 


14 




47 


840064 


219 


858514 


202 


981550 


421 


018450 


13 




48 


840196 


219 


858393 


202 


981803 


421 


018197 


12 




49 


840328 


219 


858272 


202 


982056 


421 


017944 


11 




50 
51 


84045iJ 


219 


858151 


202 
202 


98230C 


421 


017691 


10 
9 


9.840591 


219 


9.85802S 


9.982565 


421 


10.017438 




52 


840725 


219 


857905 


202 


98281^ 


421 


0l718e 


8 




53 


84085^ 


t 219 


85778f 


202 


98306' 


r 421 


01693C 


7 




54 


84098. 


) 219 


85766f 


20C 


98332( 


) 421 


01668C 


6 




55 


84111( 


5 218 


85754[ 


20^ 


J 98357 


5 421 


01642- 


r 5 




56 


84124 


r 218 


857425 


- 20[ 


J 98382 


5 421 


01617^ 


[ 4 




57 


84137 


i 218 


85730( 


) 20i 


J 98407 


J 421 


01592 


3 




58 


84150 


3 218 


85717. 


i 20r 


? 98433 


1 421 


0l566f 


) 2 




159 


84164 


) 218 


85705 


3 20' 


i 98458 


i 421 


015416 


) 1 


i 


jeo 


84177 


1 218 


85693 


1 20 


5 98483 


7 421 


015163; 


1 




, Co.„e 


1 


1 Si.ie 1 


1 Cotaiig. 


i 


I -1 m,g. 1 M. 



46 Degrees. 



62 


(44 Degrees.) a 


TABLE OF LOGARITHMIC 




M. 


1 Sine 


D. 


1 Cosine 


1 n. 


1 'I'anE. 1 D. 


1 Cotang. 1 1 


~0 


9.841771 


218 


9.856934 


203 


9.984837 


421 


10.015163 


6U 


1 


841902 


218 


856812 


203 


985090 


421 


014910 


59 


2 


842033 


218 


856690 


204 


985343 


421 


014657 


58 


3 


842163 


217 


856568 


204 


985596 


421 


014404 


57 


4 


842294 


217 


856446 


204 


985848 


421 


014152 


56 


5 


842424 


217 


856323 


204 


986101 


421 


013899 


55 


6 


842555 


217 


856201 


204 


986354 


421 


013646 


54 


7 


842685 


217 


856078 


204 


986607 


421 


013393 


53 


8 


842815 


217 


855956 


204 


986860 


421 


013140 


52 


9 


842946 


217 


855833 


204 


987112 


421 


012888 


51 


10 
11 


843076 


217 


855711 
9.855588 


205 
205 


987365 
9.987618 


421 
421 


012635 


50 
49 


9.843206 


216 


10.012382 


12 


843336 


216 


855465 


205 


987871 


421 


012129 


48 


13 


R43466 


216 


855342 


205 


988123 


421 


011877 


47 


14 


843595 


216 


855219 


205 


988376 


421 


011624 


46 


15 


843725 


216 


855096 


205 


988629 


421 


011371 


45 


16 


843855 


216 


854973 


205 


988882 


421 


011118 


44 


17 


843984 


216 


854850 


205 


989134 


421 


010866 


43 


18 


844114 


215 


854727 


206 


989387 


421 


010613 


42 


19 


844243 


215 


854603 


206 


989640 


421 


01036( 


41 


20 
21 


844372 


215 


854480 
9.854356 


206 
206 


989893 


421 


010107 


40 
39 


9,844502 


2i5 


9.990145 


421 


10.009855 


22 


844631 


215 


854233 


206 


990398 


421 


009602 


38 


23 


844760 


215 


854109 


206 


990651 


421 


009349 


37 


24 


844889 


215 


853986 


206 


990903 


421 


009097 


36 


25 


845018 


215 


853862 


206 


991156 


421 


008844 


35 


26 


845147 


215 


853738 


206 


991409 


421 


008591 


34 


27 


845276' 


214 


853614 


207 


991662 


421 


008338 


33 


28 


845405 


214 


853490 


207 


991914 


421 


008086 


32 


29 


845533 


214 


853366 


207 


992167 


421 


007833 


31 


30 
31 


845662 


214 


853242 


207 
207 


992420 
9.992672 


421 


007580 


30 
29 


9.845790 


214 


9.853118 


421 


10.007328 


32 


845919 


214 


852994 


207 


992925 


421 


007075 


28 


33 


846047 


214 


852869 


207 


993178 


421 


00682", 


27 


34 


846175 


214 


852745 


207 


993430 


421 


006570 


26 


35 


846304 


214 


852620 


207 


993683 


421 


006317 


25 


36 


846432 


213 


852496 


208 


993936 


421 


006064 


24 


37 


846560 


213 


852371 


208 


994189 


421 


005811 


23 


38 


846688 


213 


852247 


208 


994441 


421 


005559 


22 


39 


840816 


213 


852122 


208 


994694 


421 


005306 


21 


40 


846944 


213 


851997 


208 


994947 


421 


005053 


20 


41 


9.847071 


213 


9.851872 


208 


9.995199 


421 


10.004801 


19 


42 


847199 


213 


851747 


208 


995452 


421 


004548 


18 


43 


847327 


313 


851622 


208 


995705 


421 


004295 


17 


44 


847454 


212 


851497 


209 


995957 


421 


004043 


16 


45 


847582 


212 


851372 


209 


996210 


421 


003790 


15 


46 


847709 


212 


851246 


209 


996463 


421 


003537 


14 


47 


847836 


212 


851121 


209 


996715 


421 


003285 


13 


48 


847964 


212 


850996 


209 


996968 


421 


003032 


12 


49 


848091 


212 


850870 


209 


997221 


421 


002779 


11 


60 
51 


848218 
9.848345 


212 


850745 


209 
209 


997473 


421 


002527 


10 
9 


212 


9.850619 


9.997726 


421 


10.002274 


52 


848472 


211 


850493 


210 


997979 


421 


002021 


8 


53 


848599 


211 


850368 


210 


998231 


421 


001769 


7 


54 


848726 


211 


850242 


210 


998484 


421 


001516 


6 


55 


848852 


211 


850116 


210 


998737 


421 


001263 


5 


56 


848979 


211 


849990 


210 


998989 


421 


001011 


4 


57 


849106 


211 


849864 


210 


999242 421 


000758 


3 


58 


843232 


211 


849738 


210 


999495 421 


000505 


2 


59 


849359 


211 


849611 


210 


999748 421 


000253 


1 


60 


849485 


211 


849485 


210 


10.000000 421 


000000 1 


-i. 


Cosine | 


1 


S.ne 1 1 


Co,.ang. 1 


Tan. M.i 


' 






45 


De«r 


eeg. 









A TRAVERSE TABI.E, 

BHOIVINCI THE DIFFERENCE OF 

liATITUDE AND DEPARTURE 

FOR DISTANCES BETWEEN 1 AND 100, AND FOR ANGLIB 
TO QUARTER DEGREES BETWEEN 1*^ AND 90" 



TRAVERSE TAUlE. 



a 

a 


iDeg. 


iDeg. 


JDeg. 


O 

a 
i 




Lat. 


Dep. 
0.00 


Lat. 


Dep. 
0.01 


Lat, 
1.00 


Dep. 




1 


1.00 


1.00 


0.01 




2 


2.00 


0.01 


2.00 


0.02 


2.00 


0.03 


2 




3 


3.00 


0.01 


3.00 


0.03 


3.00 


0.04 


3 




4 


4.00 


0.02 


4.00 


0.03 


4.00 


0.05 


4 




5 


5.00 


0.02 


5.00 


0.04 


5.00 


0.07 


5 




6 


6.00 


0.03 


6,00 


0.05 


6.00 


0.08 


6 




7 


7.00 


0.03 


7.00 


0.06 


7.00 


0.09 


7 




8 


8.00 


0.03 


8.00 


0.07 


8.00 


0.10 


8 




9 


9.00 


0.04 


9.00 


0.08 


9.00 


0.12 


9 




1 10 


10.00 


0.04 


10.00 


0.09 


10.00 


0.13 


10 




11 


11.00 


0.05 


li.OO 


0.10 


11.00 


0.14 


11 




12 


12.00 


0,05 


12.00 


0.10 


12.00 


0.16 


12 




13 


13.00 


0.06 


13.00 


0.11 


13.00 


0.17 


13 




14 


14.00 


0,06 


14,00 


0.12 


14,00 


0.18 


14 




15 


15.00 


0,07 


15,00 


0.13 


15.00 


0.20 


15 




16 


16.00 


0,07 


16.00 


0.14 


16.00 


0.21 


16 




17 


17.00 


0,07 


17.00 


0.15 


17.00 


0.22 


17 




18 


18.00 


0,08 


18.00 


0.16 


18.00 


0.24 


18 




19 


19.00 


0,08 


19.00 


0.17 


19.00 


0.25 


19 




20 
21 


20.00 
21.00 


0.09 
0.09 


20,00 
21,00 


0.17 
0.18 


20.00 
21.00 


0.26 


20 
21 




0.27 




22 


22.00 


0.10 


22,00 


0.19 


22.00 


0.29 


22 




23 


23.00 


0.10 


23,00 


0.20 


23.00 


0..30 


23 




24 


24.00 


0.10 


24,00 


0.21 


24.00 


0.31 


24 




25 


2S.00 


0,11 


25,00 


0.22 


25,00 


0.33 


25 




26 


26.00 


0.11 


26.00 


0.23 


26,00 


0.34 


26 




27 


27.00 


0,12 


27.00 


0,24 


27.00 


0.35 


27 




28 


28.00 


0,12 


28.00 


0.24 


28.00 


0.37 


28 




29 


29.00 


0,13 


29.00 


0.25 


29,00 


0.38 


29 




30 
31 


30.00 


0.13 
0.14 


30,00 
31,00 


0.26 

0.27 


30,00 
31,00 


0.39 
0,41 


30 
31 




31.00 




32 


32.00 


0.14 


32,00 


0,28 


32,00 


0.42 


32 




33 


33.00 


0.14 


33,00 


0.29 


33,00 


0,43 


33 




34 


34.00 


0.15 


34.00 


0,30 


34,00 


0,45 


34 




35 


35.00 


0.15 


35,00 


0,31 


35,00 


0,46 


35 




36 


36.00 


0.16 


36,00 


0,31 


36,00 


0,47 


36 




37 


37.00 


0.16 


37,00 


0,32 


37,00 


0.48 


37 




38 


38.00 


0.17 


38,00 


0,33 


38,00 


0.50 


38 




39 


39.00 


0,17 


39,00 


0,34 


39,00 


0.51 


39 




40 


40.00 


0,17 


40,00 


0,35 


40.00 


0..52 


40 




41 


41.00 


0,18 


41,00 


0,36 


41,00 


"0754 


41 




42 


42.00 


0.18 


42.00 


0,37 


42.00 


0..55 


42 




43 


43.00 


0.19 


43.00 


0.38 


43.00 


0.56 


43 




44 


44.00 


0.19 


44.00 


0.38 


44.00 


0.58 


44 




45 


45.00 


0,20 


45,00 


0.39 


45.00 


0,.59 


45 




46 


46.00 


0,20 


46.00 


0,40 


46.00 


0.60 


46 




47 


47.00 


0,21 


47.00 


0,41 


47.00 


0.62 


47 




48 


48.00 


0,21 


48.00 


0,42 


48.00 


0.63 


48 




49 


49.00 


0,21 


49.00 


0.43 


49.00 


0.64 


49 




50 


50,00 


0,22 


,50.00 


0,44 


50.00 


0.65 


50 




i 


Dep. 


Lat. 


Dep, 


Lat. 


Dep. 


Lat. 


i 




5 
















S 


89^ 


^Deg. 


89J 


Deg. 


89J 


Deg. 


'\ 



TK A VERSE TABLE. 





o 


i Deg. 


4 


Deg. 


IDeg. 


s 

"51 




■51 




1 










Lat. 


Dep. 
0.22 


Lat. 


Dep. 
0.45 


Lat. 
51.00 


Dep. 




51.00 


51.00 


0.67 




52 


62.00 


0.23 


52.00 


0.45 


52.00 


0.68 


52 




53 


53.00 


0.S3 


53.00 


0.46 


63.00 


0.60 


63 




64 


54,00 


0.24 


54.00 


0.47 


54.00 


0.71 


54 




55 


55.00 


0.24 


55.00 


0.48 


55.00 


0.72 


65 




56 


56.00 


0.24 


56.00 


0.49 


56.00 


0.73 


56 




57 


57.00 


0.25 


57.00 


0.50 


67.00 


0.75 


57 




58 


58.00 


0.25 


58.00 


0.51 


57.99 


0.76 


68 




59 


59.00 


0.26 


59.00 


0.51 


58.99 


0.77 


59 




60 
61 


60.00 
61.00 


0.26 


60.00 
61.00 


0.52 
0.53 


59.99 
60.99 


0.79 


60 
ei 




0.27 


0.80 




62 


62.00 


0.27 


62.00 


0.54 


61.99 


0.81 


ti2 




63 


63.00 


0.27 


63.00 


0.55 


62.99 


0.82 


63 




64 


64.00 


0.28 


64.00 


0.56 


63.99 


0.84 


64 




65 


65.00 


0.28 


65.00 


0.57 


64.99 


0.85 


65 




66 


66.00 


0.29 


66.00 


0.88 


65.99 


0.86 


66 




67 


67.00 


0.29 


67.00 


0.58 


66.99 


0.88 


67 




68 


68.00 


0.30 


68.00 


0.59 


67.99 


0.89 


68 




69 


69.00 


0.30 


69.00 


0.60 


68.99 


0.90 


69 




70 


70.00 


0.31 


70.00 


0.61 


69.99 


0.92 


70 




71 


71.00 


0.31 


71.00 


0.62 


70.99 


0.93 


71 




72 


72.00 


0.31 


72.00 


0.63 


71.99 


0.94 


72 




73 


73.00 


0.32 


73.00 


0.64 


72.99 


0.96 


73 




74 


74.00 


0.32 


74.00 


0.65 


73.99 


0.97 


74 




<75 


75.00 


0.33 


75.00 


0.65 


74.99 


0.98 


75 




76 


76.00 


0.33 


76.00 


0.66 


75.99 


0.99 


76 




77 


77.00 


0.34 


77.00 


0.67 


76.99 


1.01 


77 




78 


78.00 


0.34 


78.00 


0.68 


77.99 


1.02 


78 




79 


79.00 


0.34 


79.00 


0.69 


78.99 


1.03 


79 




80 


80.00 


0.35 


80.00 


0.70 


79.99 


• 1.05 


80 




81 


81.00 


0.35 


81.00 


0.71 


80.99 


1.06 


81 




82 


82.00 


0.36 


82.00 


0.72 


81.99, 


1.07 


82 




83 


83.00 


0.36 


83.00 


0.72 


82.99 


1.09 


83 




84 


84.00 


0.37 


84.00 


0.73 


83.99 


1.10 


84 




85 


85.00 


0.37 


85.00 


0.74 


84.99 


1.11 


86 




86 


86.00 


0.38 


86.00 


0.75 


85.99 


1.13 


86 




87 


87.00 


0.38 


87.00 


0.76 


86.99, 


1.14 


87 




88 


88.00 


0.38 


88.00 


0.77 


87.99 


1.15 


88 




89 


89.00 


0.39 


89.00 


0.78 


88.99 


1.16 


89 




90 


90.00 


0.39 


90.00 


0.79 


89.99 


1.18 


90 




91 


91.00 


0.40 


91.00 


0.79 


90.99 


1.1ft 


91 




92 


92.00 


0.40 


92.00 


0.80 


91.99 


1.20 


92 




93 


93.00 


0.41 


93.00 


0.81 


92.99 


1.22 


93 




94 


94.00 


0.41 


94.00 


0.82 


93.99 


1.23 


94 




95 


95.00 


0.41 


95.00 


0.83 


94.99 


1.24 


95 




96 


96.00 


0.42 


96.00 


0.84 


95.99 


1.26 


96 




97 


97.00 


0.42 


97.00 


0.85 


96.99 


1.27 


97 




98 


98.00 


0.43 


98.00 


0.86 


97.99 


1.28 


98 




99 


99.00 


0.43 


99.00 


0.86 


98.99 


1.30 


99 




100 


100.00 


_0.j44 


100.00 


0.87 


99. 9» 


1.31 


121 




1 


Dep, 


Lat. 


Dep. 1 


L... 


Dep. 


Lat. 


1 

a 




1 


8911 


)eg. 


m Deg. 1 


89i Deg. 



TRAVERSE TABIE. 





1 

? 

1 


iDeg. 


u... 1 


n Beg. 


U Deg. 


f 






Lat. 


Dep. 


Lat. 


Dep. 


Lat. Dep. 


Lat. 


Dep, 






1.00 


0.02 


1.00 


0.02 


1.00 0.03 


1,00 


0.03 


~T 






2 


2.00 


0.03 


2.00 


0.04 


2.00 


0.05 


2,00 


0.06 


2 






3 


3.00 


0.05 


3.00 


0.07 


3.00 


0,08 


3.00 


0.09 


3 






4 


4.00 


0.07 


4.00 


0.09 


4.00 


0,10 


4.00 


0,12 


4 






5 


6.00 


0.09 


5.00 


0.11 


5.00 


0.13 


5.00 


0.15 


5 






6 


6.00 


0.10 


0.00 


0.13 


6.00 


0.16 


6.00 


0.18 


6 






7 


7.00 


0.12 


7.00 


0.15 


7.00 


0.18 


7.00 


0.21 


7 






8 


8.00 


0.14 


8.00 


0.17 


8.00 


0.21 


8.00 


0.25 


8 






9 9.00 1 


0.16 


9.00 


0.20 


9.00 


0.24 


9.00 


0.28 


9 






10 
11 


10.00 


0.17 


10.00 


0.22 


10.00 
11.00 


0.26 


10.00 


0.31 


10 






11.00 


0.19 


11.00 


0.24 


0.28 


10.99 


0.34 


11 






12 


12.00 


0.21 


12.00 


0.26 


12.00 


0.31 


11.99 


0.37 


12 






13 


13.00 


0.23 


13.00 


0.28 


13,00 


0..34 


12.99 


0.40 


13 






14 


14.00 


0.24 


14.00 


0.31 


14.00 


0.37 


13.99 


0.43 


14 






15 


15.00 


0.26 


15.00 


0.33 


14.99 


0.39 


14.99 


0.46 


i5 






16 


16.00 


0.28 


16.00 


0.35 


15.99 


0.43 


15.99 


0.49 


16 






17 


17.00 


0.30 


17.00 


0.37 


16.99 


0.45 


16.99 


0.52 


17 






18 


18.00 


0.31 


18.00 


0.39 


17.99 


0.47 


17.99 


0.55 


18 






19 


19.00 


0.33 


19.00 


0.41 


18.99 


0..50 


18.99 


0..58 


19 






20 
21 


20.00 


0.35 


20.00 


0.44 


19.99 


p.. 52 


19.99 


0.61 


20 






21.00 


0.37 


21.00 


0.46 


20.99 


0.55 


20.99 


0.64 


21 






22 


22.00 


0.38 


21.99 


0.48 


21.99 


0.58 


21.99 


0.67 


22 






23 


23.00 


0.40 


22.99 


0.50 


22.99 


0.60 


22.99 


0.70 


23 






24 


24.00 


0.42 


23.99 


0.52 


23.99 


0.63 


23.99 


0.73 


24 






25 


25.00 


0.44 


24.99 


0.55 


24.99 


0.G5 


24.99 


0.76 


25 






26 


20.00 


0.45 


25.99 


0.57 


25.99 


0.68 


25.99 


0.79 


26 






27 


27.00 


0.47 


26.99 


0.59 


26.99 


0.71 


26.99 


0.83 


27 






28 


28.00 


0.49 


27.99 


0.61 


27.99 


0.73 


27.99 


0.86 28 






29 


29.00 


0.51 


28.99 


0.63 


28.99 


0.76 


28.99 


0.89 29 






30 


30.00 


0.52 


29.99 


0.65 


29.99 


0.79 


29.99 


0.92 30 






31 


31.00 


0.54 


30.99 


0.68 


30.99 


0.81 


1 30.99 


0.95 


31 






32 


32.00 


0.56 


31.99 


0.70 


31.99 


0.84 


1 31.99 


0.98 


32 






33 


32.99 


0.58 


32.99 


0.72 


32.99 


0.86 


32.98 


1.01 


33 






34 


33.99 


0.59 


33.99 


0.74 


33.99 


0.89 


33,98 


1.04 


34 






35 


34.99 


0.61 


34.99 


0.76 


34.99 


0.92 


34.98 


1.07 


35 






36 


35.99 


0.63 


35.99 


0.79 


35.99 


0.94 


35.98 


1,10 


36 






37 


36.99 


0.65 


36.99 


0.81 


36.99 


0.97 


36.98 


1.13 


37 






33 


37.99 


0.66 


37.99 


0.83 


37.99 


0.99 


37.98 


1.16 


38 






39 


38.99 


0.68 


38.99 


0.85 


38.99 


1.02 


38.98 


1.19 


39 






40 
41 


39.99 


0.70 


39.99 


0.87 


39.99 


1.05 
1.07 


39.98 


1,22 


40 






40.99 


0.72 


40.99 


0.89 


40,99 


1 40.98 


1,25 


41 






42 


41.99 


0.73 


41.99 


0.92 


41.99 


1.10 


41.98 


1.28 


42 






43 


42.99 


0.75 


42.99 


0.94 


42.99 


1.13 


42.9.8 


1.31 


43 






44 


43.99 


0,77 


43.99 


0.96 


43 . 99 


1.15 


43.98 


1.34 


44 






45 


44.99 


0.79 


44.99 


0.98 


44.99 


1.18 


44.98 


1.37 


45 






46 


45.99 


0.80 


45.99 


1.00 


45.99 


1.20 


45.98 


1.40 


46 






47 


46.99 


0.82 


46.99 


1.03 


46.99 


1.23 


46.98 


1.44 


47 






48 


47.99 


0.84 


47.99 


1.05 


47,98 


1.26 


47,98 


1.47 


48 






49 


48.99 


0.86 


48.99 


1.07 


48,98 


1.28 


48,98 


1.50 


49 








49.99 


0.87 


[49.99 


1.09 


49,98 


1.31 


49.98 


1.53 


50 






Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


JL... 


1 

(5 








Q9 Beg. 


1 881 


Beg, 


88i De^. 


m Deg. 





TRAVCSSE TABLE. 



i" 


iDeg. 


U Deg. 


HDeg. 


n Deg. 


1 

? 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


"sT 


50.99 


0.89 


50.99 


1.11 


50.98 


1.34 


50.98 


1.56 


"m 


52 


51.99 


0.91 


51.99 


1.13 


51.98 


1.36 


51.98 


1.59 


52 


53 


52.99 


0.92 


52.99 


1.10 


52.98 


1.39 


52.98 


1.62 53 1 


54 


53.99 


0.94 


.53.99 


1.18 


53.98 


1.41 


.53.97 


1.65 


54 


55 


54.99 


0.96 


54.99 


1.20 


54.98 


1.44 


54.97 


1.68 


55 


56 


55.99 


0.98 


55.99 


1.22 


55.98 


1.47 


55,97 


1.71 


56 


57 


56.99 


0.99 


56.99 


1.24 


56.98 


1.49 


56.97 


1.74 


57 


58 


57.99 


l.Ql 


57.99 


1.27 


57.98 


1.52 


57.97 


1.77 


58 


59 


58.99 


1.03 


58.99 


1.29 


58.98 


1.54 


58.97 


1.80 


59 


60 
61 


59.99 


1.05 


59.99 


1.31 
1.33 


59.98 


1.57 


.59.97 


1.83 


60 
"61 


60.99 


1.06 


60.99 


60.98 


1.60" 


60.97 


1.86 


62 


61.99 


1.08 


61.99 


1..35 


61.98 


1.62 


61.97 


1.89 


62 


63 


62.99 


1.10 


62.99 


1.37 


62.98 


1.65 


62.97 


1.92 


63 


64 


63.99 


1.12 


63.98 


1.40 


63.98 


1.68 


63.97 


1.95 


64 


65 


64.99 


1.13 


64.98 


1.42 


64.98 


1.70 


64.97 


1.99 


65 


66 


65.99 


1.15 


65.98 


1.44 


85.98 


1.73 


65.97 


2.02 


66 


67 


66.99 


1.17 


66.98 


1.46 


66.98 


1.75 


66.97 


2.05 


67 


68 


67.99 


1.19 


67.98 


1.48 


67.98 


1.78 


67.97 


2.08 


68 


69 


68.99 


1.20 


68.98 


1.51 


68.98 


1.81 


68.97 


2.11 


69 


70 
71 


69.99 
70.99 


1.22 


69.98 


1..53 


69.98 


1.83 


69.97 


2.14 


70 

71 


1.24 


70.98 


1.55 


70.98 


1.86 


70.97 


2.17 


72 


71.99 


1.26 


71.98 


1.57 


71.98 


1.88 


71.97 


2.20 


72 


73 


72.99 


1.27 


72.98 


1.59 


72.97 


1.91 


"2.97 


2.23 


73 


74 


73.99 


1.29 


73.98 


1.61 


73.97 


1.94 


73.97 


2.26 


74 


75 


74.99 


1.31 


74.98 


1.64 


74.97 


1.96 


74.97 


2.29 


75 


76 


75.99 


1.33 


75.98 


1.66 


75.97 


1.99 


75.96 


2.32 


76 


77 


76.99 


1.34 


76.98 


1.68 


76.97 


2.02 


76.96 


2.35 


77 


78 


77.99 


1.36 


77.98 


1.70 


77.97 


2.04 


77.96 


2.38 


78 


79 


78.99 


1.38 


78.98 


1.72 


78.97 


2.07 


78.96 


2.41 


79 


80 
81 


79.99 
80.99 


1.40 


79.98 
80.98 


1.75 

1.77 


79.97 


2.09 


79.96 


2.44 


80 


1.41 


80.97 


2.12 


80.96 


2.47 


81 


82 


81.99 


1.43 


81.98 


1.79 


81.97 


2.15 


81.96 


2., 50 


82 


83 


82.99 


1.45 


82.98 


1.81 


82.97 


2.17 


82.96 


2.. 53 


83 


84 


83.99 


1.47 


83.98 


1.83 


83.97 


2.20 


83.96 


2.57 


84 


85 


84.99 


1.48 


84.98 


1.85 


84.97 


2.23 


84.96 


2. CO 


85 


86 


85.99 


1.50 


85.98 


1.88 


85.97 


2.25 


85.96 


2.63 


86 


87 


86.99 


l.i)2 


86.98 


1.90 


86.97 


2.28 


86.96 


2.66 


87 


88 


87.99 


1.54 


87.98 


1.92 


87.97 


2.30 


87.96 


2.69 


88 


89 


88.99 


1.55 


88.98 


1.94 


88.97 


2.33 


88.96 


2.72 


89 


90 
91 


89.99 


1.57 
1.59 


89.98 


1.96 


89.97 


2.36 


89.96 


2.75 

' 2.78 


90 
91 


90.99 


90.98 


1.99 


90.97 


!?.38 


90.96 


92 


91.99 


1.61 


91.98 


2.01 


91.97 


2.41 


91.96 


2.81 


92 


93 


92.99 


1.62 


92.98 


2.03 


92.97 


2.43 


92.96 


2.84 


93 


94 


93.99 


1.64 


93.98 


2.05 


93.97 


2.46 


93.96 


2.87 


94 


95 


94.99 


1.66 


94.98 


2.07 


94.97 


2.49 


94.96 


2.90 


95 


96 


95.99 


1.68 


95.98 


2.09 


95.97 


2.51 


95.96 


2.94 


96 


97 


96.99 


1.69 


96.98 


2.12 


96.97 


2.. 54 


96.95 


2.96! 97l 


98 


97.99 


1.71 


97.98 


2.14 


97.97 


2.57 


97.95 


2.99 


98 


99 


98.98 


1.73 


98.98 


2.16 


98.97 


2.59 


98.95 


3.02 


99 


100 


99.98 


1.75 


99.98 


2.18 


99.97 


2.62 


99.95^ 


3.05 


100 


1 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 
881 


Lat. 
Deg. 


Dep. 


Lat. 


i 


89] 


Deg. 


881 Deg. 


88i Deg. 



TRAVERSE TABLE. 



1 


2Deg. 


2i Deg. 


H 


Deg. 


21 Deg. 


O 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


1.00 


0.03 


1.00 


0.04 


1.00 


0.04 


1.00 


0.05 


r 


2 


2.00 


0.07 


2.00 


0.08 


2.00 


0.09 


2.00 


0.10 


2 


?( 3.00 


0.10 


3.00 


0.32 


3.00 


0.13 


3.00 


0.14 


3 


4 


4.00 


0.14 


4.00 


0.16 


4.00 


0.J7 


4.00 


0.19 


4 


5 


5.00 


0.17 


5.00 


0.20 


5.00 


0.22 


4.99 


0.24 


5 


6 


6.00 


0.21 


6.00 


0.24 


5.99 


0.26 


5.99 


0.29 


6 


7 


7.00 


0.24 


6.99 


0.27 


6.99 


0.31 


6.99 


0.34 


7 


8 


7.99 


0.28 


7.99 


0.31 


7.99 


0.35 


7.99 


0.38 


8 


9 


8.99 


0.31 


8.99 


0.35 


8.99 


0.39 


8.99 


0.43 


9 


10 


9.99 


0.35 


9.99 


0.39 


9.99 


0.44 


9.99 


0.48 


10 


u" 


10.99 


0.38 


10.99 


0.43 


10.99 


0.48 


10.99 


0.53 


11 


12 


11.99 


0.42 


11.99 


0.47 


11.99 


0.52 


11.99 


0.58 


12 


13 


12.99 


0.45 


12.99 


0.51 


12.99 


0.57 


12.99 


0.62 


13 


14 


13.99 


0.49 


13.99 


0..55 


13.99 


0.61 


13.98 


0.67 


14 


15 


14.99 


0.52 


14.99 


0.59 


14.99 


0.65 


14.98 


0.72 


15 


16 


15.99 


0.56 


15.99 


0.63 


15.99 


0.70 


15.98 


0.77 


16 


17 


16.99 


0.59 


16.99 


0.67 


16.98 


0.74 


16.98 


0.82 


17 


18 


17.99 


0.63 


17.99 


0.71 


17.98 


0.79 


17.98 


0.86 


18 


19 


18.99 


0.66 


18.99 


0.75 


18.98 


0.83 


18.98 


0.91 


19 


20 


19.99 


0.70 


19.98 


0.79 


19.98 


0.87 


19.98 


0.96 


20 


21 


20.99 


0.73 


20 . 9-S 


0.82 


20.98 


0.92 


20.98 


1.01 


21 


22 


21.99 


0.77 


21.98 


0.86 


21.98 


0.96 


21.97 


1.06 


22 


23 


22.99 


O.bO 


22.98 


0.90 


22.98 


1.00 


22.97 


1.10 


23 


24 


23.99 


0.84 


23.98 


0.94 


23.98 


1.05 


23.97 


1.15 


24 


25 


24.98 


0.87 


24.98 


0.98 


24.98 


1.09 


24.97 


1.20 


25 


26 


25.98 


0.91 


25.98 


1.02 


25.98 


1.13 


25.97 


1.25 


26 


27 


26.98 


0.94 


26.98 


1.06 


26.97 


1.18 


26.97 


1.30 


27 


28 


27.98 


0.98 


27.98 


1.10 


27.97 


1.22 


27.97 


1.34 


28 


29 


28.98 


1.01 


28.98 


1.14 


28.97 


1.26 


!28.97 


1.39 


29 


30 


29.98 


1.05 


29.98 


1.18 


29.97 


1.31 


29.97 


1.44 


30 
31 


31 


30.98 


1.08 


30.98 


1.22 


30.97 


1.35 


.30.96 


1.49 


32 


31.98 


1.12 


31.98 


1.26 


31.97 


1.40 


31.96 


1.54 


32 


33 


32.98 


1.15 


32.97 


1.30 


32.97 


1.44 


32.96 


1.58 


33 


34 


.33.98 


1.19 


33.97 


1.33 


33.97 


1.48 


33.96 


1.63 


34 


35 


34.98 


1.22 


34.97 


1.37 


34.97 


1..53 


34.96 


1.68 


35 


36 


35.98 


1.26 


35.97 


1.41 


35.97 


1.57 


35 . 96 


1.73 


36 


37 


36.98 


1.29 


36.97 


1.45 


36.96 


1.6] 


36.96 


1.78 


37 


38 


37.98 


1.33 


37.97 


1.49 


37.96 


1.66 


37.96 


1.82 


38 


39 


38.98 


1.36 


38.97 


1.53 


38.96 


1.70 


38.96 


1.87 


39 


40 
41" 


39.98 
40.98 


1.40 


39.97 


1.57 


39.96 
40.96 


1.75 
1.77 


39.95 


1.92 


40 


1.43 


40.97 


1.61 


40.9.5 


1.97 


41 


42 


41.97 


1.47 


41,97 


1.65 


41.96 


1.83 


41.95 


2.02 


42 


43 


42.97 


1.50 


42.97 


1.69 


42.96 


1.88 


42.95 


2.06 


43 


44 


43.97 


1.54 


43.97 


1.73 


43.96 


1.92 


43.95 


2.11 


44 


45 


44.97 


1.57 


44.97 


1.77 


44.96 


1.96 


44.95 


2.16 


45 


46 


45.97 


1.61 


45.96 


1.81 


45.96 


2.01 


45.95 


2.21 


46 


47 


46.97 


1.64 


46.96 


1.85 


46.96 


2.05 


46.95 


2.25 


47 


48 


47.97 


1.68 


47.96 


1.88 


47.95 


2.09 


47.95 


2.30 


48 


49 


48.97 


1.71 


48.96 


1.92 


48.95 


2.14 


48.94 


2.35 


49 


50 


49.97 


1.74 


49.96 


1.96 
Lat. 


49.95 


2.18 


49.94 


2.40 


50 

1 


§ 
g 

1 


Dep. 


Lat. 


Dep. 


Dep. 


Lat. 


Dep. 


Lat. 


88 Deg. 


871 Deg. 


87^ 


Deg. 


87i Deg. 



TRAVKKSK TABLE. 



i 

51 


2Deg. 


!j 2i Dog. 


n 


Deg. 


21 Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.97 


1.78 


50.96 


2.00 


50.95 


2.22 


.50.94 


2.45 


52 


51.97 


1.81 


51.96 


2.04 


51.95 


2.27 


51.94 


2.50 


52 


53 


52.97 


1.85 


52.98 


2.08 


.52,95 


2.31 


52.94 


2.54 


53 


54 


53.97 


1.88 


53.96 


2.12 


53.95 


2.36 


.53.94 


2.. 59 


54 


55 


54.97 


1.92 


54.96 


2.16 


54.95 


2.40 


.54.94 


2.64 


55 


56 


55.97 1.9o 


55.96 


2.20 


.55.95 


2.44 


55.94 


2.69 


56 


57 


56.97 1.99 


56.96 


2.24 


56.95 


2.49 


.56.93 


2.73 


57 


58 


57.96 2.02 


57.96 


2.28 


57.94 


2.53 


57.93 


2.78 


58 


59 


58.96 2.05 


58.95 


2.32 


.58.94 


2.. 57 


58.93 


2.83 


59 


60 
61 


59.96 2.09 


59.95 


2.36 


59.94 


3.62 
2.66 


59.93 
60.93 


2.88 


60 
61 


60.96 


2.13 


60 . 95 


2.39 


60.94' 


2.93 


62 


61.96 


2.16 


61.95 


2.43 


61.94 


2.70 


61.93 


2.97 


63 


63 


62.96 


2.20 


62.95 


2.47 


62.94 


2.75 


62.93 


3.02 


63 


64 


63.96 


2.23 


63.95 


2.51 


63.94 


2.79 


63.93 


3.07 


64 


65 


64.06 


2.27 


64.95 


2.55 


64.94 


2.84 


64.93 


3.12 


65 


66 


65.96 


2.30 


65.95 


2.. 59 1 


65.94 


2.88 


65.92 


3.17 


66 


67 


66.96 


2.34 


66.95 


2.63 


66.94 


2.92 


66.92 


3.21 


67 


68 


67.98 


2.37 


87.95 


2.67 


67.94 


2.97 


67.92 


3.26 


68 


69 


68.96 


2.41 


68.95 


2.71 


68.93 


3.01 


68.92 


3.31 


69 


70 


69.96 


2.44 


69.95 


3.75 


69.93 


3.05 


69.92 


3.36 


70 


71 


70.96 


2.48 


70.95 


2.79 


70.93 


3.10 


70.92 


3.41 


71 


72 


71.96 


2.51 


71.94 


2.83 


71.93 


3.14 


71.92 


3.45 


72 


73 


72.96 


2.55 


72.94 


2.87 


72.93 


3.18 


72.92 


3.. 50 


73 


74 


73.95 


2.58 


73.94 


2.91 


73.93 


3.23 


73.91 


3.55 


74 


75 


74.95 


2.62 


74.94 


2.94 


74.93 


3.27 


74.91 


3.60 


75 


76 


75.95 


2.65 


75.94 


2.98 


75.93 


3.31 


75.91 


3.65 


76 


77 


76.95 


2.69 


76.94 


3.02 


76.93 


3.36 


76.91 


3.70 


77 


78 


77.95 


2.72 


77.94 


3.06 1 


77.93 


3.40 


77.91 


3.74 


78 


79 


78.95 


2.76 


78.94 


3.10 1 


78.92 


3.45 


78.91 


3.79 


79 


80 
81 


79.95 


2.79 


70.94 


3.14 


79.92 


3.49 


79.91 


3.84 


80 
81 


80.95 


2.83 


80.94 


3.18 


80.92 


3.53 


80.91 


3.89 


82 


81.95 


2.86 


81.94 


3.22 


81.92 


3.58 


81.91 


3.93 


82 


83 


82.95 


2.90 


82.94 


?.26 


82.92 


3.62 


82.90 


3.98 


83 


84 


83.95 


2.93 


83.94 


3.30 


83.92 


3.66 


83.90 


4.03 


84 


85 


84.95 


2.97 


S4.93 


3.34 


84.92 


3.71 


84.90 


4.08 


85 


86 


85.95 


3.00 


85 . 93 


3.38 


85.92 


3.75 


85.90 


4.13 


86 


87 


86.95 


3.04 


86.93 


3.42 


86.92 


3.79 


86.90 


4.17 


87 


88 


87.95 


3.07 


87.93 


3.45 


87.92 


3.84 


87.90 


4.23 


88 


89 


88.95 


3.11 


88.93 


3.49 


88.92 


3.88 


88.90 


4.27 


89 


90 
91 


89.95 


3.14 


89.93 


3.53 


89.91 


3.93 


89.90 


4.32 


90 
91 


90.95 


3.18 


90.93 


3.57 


90.91 


3.97 


90.90 


4.37 


92 


91.94 


3.21 


91.93 


3.61 


91.91 


4.01 


91.89 


4.41 


92 


93 


92.94 


3.25 


92.93 


3.65 


92.91 


4.06 


92.89 


4.46 


93 


94 


93.94 


3.28 


93.93 


3.69 


93.91 


4.10 


93.89 


4.51 


91 


95 


94.94 


3.32 


94.93 


3.73 


94.91 


4.14 


94.89 


4.56 


95 


96 


95.94 


3.35 


95.93 


3.77 


95.91 


4.19 


95.89 


4.61 


96 


97 


96.94 


3.39 


96.93 


3.8] 


96.91 


4.23 


96 ;'89 


4.65 


97 


93 


97.94 


3.42 


97.92 


3.85 


97.91 


4.27 


97.89 


4.70 


98 


99 


98.94 


3.46 


98.92 


3.89 


98.91 


4.32 


98.89 


4.75 


99 


100 

d 


99.94 


3.49 


99.92 


3.93 


99.91 


4.36 


99.88 


_4.8^ 


100 

.1 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dop. 


Lat. 


88 Deg. 


87J 


Deg. 


81^ Deg. 


87i Deg. 



TRAVERSE TABLE. 



1 

1 


3Deg. 


1 3i Deg. 


3^ 


Dog. 


3J Deg. 


1 

3 
? 
1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1,00 


0.05 


1.00 


0.06 


1.00 


0.06 


"IToo" 


0.06 


2 


2.00 


0.10 


2.00 


0.11 


2.00 


0.12 


2.00 


0.13 


2 


3 


3.00 


0.16 


3.00 


0.17 


2.99 


0.18 


2.99 


0.20 


3 


4 


3.99 


0.21 


3.99 


0.23 


3.99 


0.24 


3.99 


0.26 


4 


5 


4.99 


0.26 


4.99 


0.28 


4.99 


0.31 


4.99 


0.33 


5 


6 


5.99 


0.31 


5.99 


0.34 


5.99 


0.37 


5.99 


0.39 


6 


7 


6.99 


0.37 


6.99 


0.40 


6.99 


0.43 


6.99 


0.46 


7 


8 


7.99 


0.42 


7.99 


0.45 


7.99 


0.49 


7.98 


0.52 


8 


9 


8.99 


0.47 


8.99 


0.51 


8.98 


0.55 


8.98 


0,59 


9 


10 
11 


9.99 


0.52 


9.98 


0.57 


9.98 


0.61 


9.98 


0.65 


10 
11 


10.98 


0.58 


10.98 


0.62 


10.98 


0.67 


10.98 


0.72 


12 


11.98 


0.63 


11.98 


0.68 


11.98 


0.73 


11.97 


0.78 


12 


13 


12.98 


0.68 


12.98 


0.73 


12.98 


0.79 


12.97 


0,85 


13 


14 


13.98 


0.73 


13.98 


0.79 


13.97 


0.85 


13.97 


0.92 


14 


15 


14.98 


0.79 


14.98 


0.85 


14.97 


0.92 


14.97 


0.98 


15 


16 


15.98 


0.84 


15.97 


0.91 


15.97 


0.98 


15.97 


1.05 


16 


17 


16.98 


0.89 


16.97 


0.96 


16.97 


1.04 


16.96 


1.11 


17 


18 


17.98 


0.94 


17.97 


1.02 


17.97 


1.10 


17.96 


1.18 


18 


19 


18.98 


0.99 


18.97 


1.08 


18.96 


1.16 


18.96 


1.24 


19 


•^0 
21 


19.97 


1.05 


19.97 


1.13 


19.96 


1.22 


19.96 
20.96 


1.31 
1.37 


20 
21 


20.97 


1.10 


20.97 


1.19 


20.96 


1.28 


22 


21.97 


1.15 


21.96 


1.25 


21.96 


1.34 


21.95 


1.44 


23 


23 


22.97 


1.20 


22.96 


1.30 


22.96 


1.40 


22.95 


1..50 


23 


24 


23.97 


1.26 


23.96 


1.36 


23.96 


1.47 


23.95 


1..57 


24 


25 


24.97 


1.31 


24.96 


1.42 


24.95 


1.53 


24.95 


1.64 


25 


26 


25.96 


1.36 


25.96 


1.47 


25.95 


1.59 


25.94 


1.70 


26 


27 


26.96 


1.41 


26.98 


1.53 


26.95 


1.65 1 


26.94 


1.77 


27 


28 


27.96 


1.47 


27.95 


1.59 


27.95 


1.71 


27.94 


1.83 


28 


29 


28.96 


1.52 


28.95 


1.64 


23.95 


1.77 


28.94 


1.90 


29 


30 
31 


29.96 


1.57 


29.95 


1.70 


29.94 


1.S3I 


29.94 


1.96 


30 
31 


30.96 


1.62 


30.95 


1.76 1 


30.94 


1.89: 


30.93 


2.03 


32 


31.96 


1.67 


31.95 


1.81 


31.94 


1 . 95 


31.93 


2.09 


32 


33 


32.95 


1.73 


32.95 


1.87 


.32.94 


2.01 


32.93 


2.16 


33 


34 


33.95 


1.78 


33.95 


1.93 1 


33.94 


2.08 


33.93 


2.22 


34 


35 


34.95 


1.83 


34.94 


1.98 1 


34.93 


2.11 


34.92 


2.29 


35 


36 


35.95 


1.88 


35.94 


2.04 


35.93 


2,20 


35.92 


2.35 


36 


37 


36.95 


1.94 


36.94 


2.10 


36.93 


2.26 


36.92 


2.42 


37 


33 


37.95 


1.99 


37.94 


2.15 


37.93 


2.32 


37.92 


2.49 


38 


39 


38 . 95 


2.04 


33.94 


2.21 


38.93 


2.38 


38.92 


2.. 55 


39 


40 
41 


39.95 


2.09 


39.94 


2.27 


39.93 


2.44 1 


39.91 


2.62 

2.68 


40 
41 


40.94 


2.15 


40.93 


2.32 1 


40.92 


2.. 50 


40.91 


42 


41.94 


2.20 


41.93 


2.38 


41.92 


2.56 1 


41.91 


2.75 


42 


43 


42.94 


2.25 


42.93 


2.44 


42.92 


2.63 


42.91 


2.81 


43 


44 


43.94 


2.30 


43.93 


2.49 


43.92 


2.69 


43.91 


2.88 


44 


45 


44.94 


2.36 


44.93 


2.55 


44.92 


2.75 


44.90 


2.94 


45 


46 


45.94 


2.41 


45.93 


2.61 


45.91 


2.81 


45.90 


3.01 


46 


47 


46.94 


2.46 


46.92 


2.66 


46.91 


2,87 


46.90 


3.07 


47 


48 


47.93 


2.51 


47.92 


2.72 


47.91 


2.93 


47.90 


3.14 


48 


49 


48.93 


2.56 


48.92 


2.78 


48.91 


2.99 i 


48.90 


3.20 


49 


_50 

1 

s 


49.93 


2.62 


49.92 


2.83 


49.91 


3.05 


49.89 


3,27 


_50 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


87 1 


)eg. 


861 Deg. 


mi 


Deg. 


86i Deg. 



TRAVERSE TABLE. 





3 Deg. 


3i Deg. 


3iDeg. 


31 Deg. 


1 

? 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep. 


50.93 


2.67 


50.92 


2.89 


50.90 


3.11 


50,89 


3.34 


52 


51.93 


2,72 


51,92 


2.95 


51.90 


3.17 


51.89 


3,40 


52 


53 


52.93 


2,77 


52.91 


3,00 


.52.90 


3.24 


52,89 


3.47 


53 


54 


53.93 


2,83 


53.91 


3.06 


53.90 


3.30 


53.88 


3,53 


54 


55 


54.92 


2,88 


54.91 


3,12 


54.90 


3,36 


54.88 


3.60 


55 


56 


55.92 


2.93 


55.91 


3.17 


55.90 


3.42 


55.88 


3.66 


56 


57 


56.92 


2,98 


56.91 


3,23 


56.89 


3.48 


56,88 


3 73 


57 


58 


57.92 


3,04 


57,91 


3,29 


57,89 


3.54 


57,88 


3.79 


58 


59 


58.92 


3,09 


58.91 


3.34 


.58.89 


3.60 


58.87 


3.86 


59 


60 


59.92 


3.14 


59.90 


3.40 


59.89 


3.66 


59,87 


3.92 


60 
"67 


"61 


60.92 


3.19 


60.90 


3,46 


60.89 


3.72 


60,87 


3.99 


62 


61.92 


3.24 


61.90 


3,51 


61,88 


3.79 


61,87 


4,05 


62 


63 


62.91 


3,30 


62,90 


3.57 


62.88 


3.85 


62,87 


4.12 


S3 


64 


63.91 


3,35 


63.90 


3.63 


63.88 


3.91 


63.86 


4.19 


64 


65 


64.91 


3.40 


64.90 


3.69 


64,88 


3.97 


64.86 


4.25 


65 


60 


65.91 


3.45 


65.89 


3.74 


65.88 


4.03 


65.86 


4.32 


66 


67 


66,91 


3.51 


66.89 


3.80 


66.88 


4 09 


66.86 


4.38 


67 


08 


67.91 


3.. 56 


67.89 


3.86 


67.87 


4.15 


67.85 


4.45 


68 


69 


68.91 


3.61 


68.89 


3.91 


68.87 


4.21 


68.85 


4.51 


69 


70 


69.90 


3.66 


69.89 


3.97 


69.87 


4.27 
4,33" 


09,85 


4.58 


70 

71 


71 


70.90 


3.72 


70,89 


4.03 


70.87 


70,85 


4.64 


72 


71.90 


3.77 


71.88 


4.08 


71.87 


4.40 


71.85 


4.71 


72 


73 


72.90 


3,82 


72.88 


4,14 


72,86 


4,46 


72.84 


4.77 


73 


74 


73.90 


3.87 


73.88 


4,20 


73.86 


4,52 


73.84 


4.84 


74 


75 


74.90 


3,93 


74,88 


4,25 


74.86 


4,58 


74.84 


4.91 


75 


76 


75.90 


3.98 


75,88 


4,31 


75. 86 


4.64 


75.84 


4.97 


76 


77 


76.89 


4.03 


76,88 


4,37 


76,86 


4,70 


76.84 


5.04 


77 


78 


77.89 


4.08 


77,87 


4,42 


77.85 


4,76 


77,83 


6.10 


78 


79 


78.89 


4,13 


78.87 


4,48 


78,85 


4.82 


78,83 


5.17 


79 


80 
81 


79.89 


4.19 
4.24 


79,87 
80.87 


4,54 


79.85 


4.88 


79,83 


5.23 


80 
81 


80.89 


4.. 59 


80.85 


4,94 


80.83 


5.30 


82 


81.89 


4.29 


81,87 


4.66 


81,85 


5,01 


81.82 


5.36 


82 


83 


82.89 


4.34 


82,87 


4.71 


82,85 


5,07 


82.82 


5,43 


83 


84 


83.88 


4.40 


83,86 


4.76 


83.84 


5,13 


83,82 


5.49 


84 


85 


84.88 


4.45 


84.86 


4.82 


84.84 


5.19 


84.82 


J5.5G 


85 


86 


85.88 


4.50 


85.86 


4.88 


85.84 


5.25 


85.82 


6.62 


86 


87 


86.88 


4.55 


86,86 


4.93 


86.84 


5.31 


86,81 


5.69 


87 


88 


87.88 


4.61 


87,86 


4.99 


87.84 


5.37 


87.81 


6.76 


88 


89 


88.88 


4.66 


88,86 


5.05 


88.83 


5.43 


88.81 


6.82 


89 


90 
91 


89.88 


4.71 


89,86 


5.10 
5,16 


89.83 
90.83 


5,49 
5.56 


89.81 
90.81 


6.89 


90 
91 


90.88 


4,76 


90,85 


6.95 


92 


91.87 


4.81 


91.85 


5,22 


91.83 


5.62 


91.80 


6.02 


92 


93 


92.87 


4.87 


92,85 


5,27 


92.83 


5.68 


92.80 


6.08 


93 


94 


93-87 


4.92 


93.85 


5.33 


93.82 


5,74 


93.80 


6.15 


94 


95 


94.87 


4.97 


94,85 


5,39 


94.82 


5.80 


94.80 


6.21 


95 


96 


95.87 


5.02 


95.85 


5,44 


95.82 


5.86 


95.79 


6,28 


96 


97 


96.87 


5.08 


96,84 


5.50 


96.82 


5.92 


96.79 


6.34 


97 


98 


97,87 


6.13 


97.84 


5.56 


97.82 


6.98 


97.79 


6.41 


98 


99 


98.86 


5.18 


98,84 


5.61 


98.82 


6.04 


98.79 


6.47 


99 


100 

1 


99.86 


5.23 


99.84 


5,67 


99.81 


6.10 


99.79 


6.54 


100 

i 

a 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep. 


Lat. 


87 1 


)eg. 


861 Deg. 


8G| 


Deg. 


86i Deg, 



10 



TRAVKESE TABLE. 



1 

1 

i 


4 Beg. 


4i Deg. 


4-^ Deg. 1 


41 Deg. 


i 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 

0.08 


1.00 


0.07 


1.00 


0.07 


1.00 


0.08 


1.00 


3 


2.00 


0.14 


1.99 


0.15 


1.99 


0.16 


1.99 


0,17 


2 


3 


2.99 


0.21 


2.99 


0.22 


2.99 


0.24 


2.99 


0.25 


3 


* 


3.99 


0.28 


3.99 


0.30 


3.99 


0.31 


3.98 


0.33 


4 


5 


4.99 


0.35 


4.99 


0.37 


4.98 


0.39 


4.98 


0.41 


5 


6! 5.99 


0.42 


5.98 


0.44 


5.98 


0.47 


5.98 


0.50 


6 


7 6.981 


0.49 


6.98 


0.52 


6.98 


0.55 


6.97 


0.58 


7 


8 


7.98 


0.56 


7.98 


0.59 


7.98 


0.63 


7.97 


0.66 


8 


9 


8.98 


0.63 


8.98 


0.67 


8.97 


0.71 


8.97 


0.75 


9 


10 
11 


9.98 


0.70 


9.97 


0.74 


9.97 


0.78 


9.97 
10.96 


0.83 


10 
11 


10.97 


0.77 


10.97 


0.82 


10.97 


0.S6 


O.Sl 


12 


11.97 


0.84 


11.97 


0.89 


11.96 


0.94 


11.96 


0.99 


12 


13 


12.97 


0.91 


12.96 


0.90 


12.96 


1.02 


12.96 


1.08 


13 


14 


J3.97 


0.98 


13.96 


1.04 


13.96 


1.10 


13.95 


1.16 


14 


15 


14.96 


1.05 


14.96 


1.11 


14.95 


1.18 


14.95 


1.24 


15 


16 


15.96 


1.12 


15.96 


1.19 


15.95 


1.26 


15.95 


1.32 


16 


17 


16.96 


1.19 


16.95 


1.26 


16.95 


1.33 


16.94 


1.41 


17 


18 


17.96 


1.26 


17.95 


1.33 


17.94 


1.41 


17.94 


1.49 


18 


19 


18.95 


1.33 


18.95 


1.40 


18.94 


1.49 


18.93 


1,.57 


19 


20 
21 


19.95 


1.40 


19.95 


1.48 


19.94 


1.57 
1.65 


19.93 


1.66 


20 
21 


20.95 


1.46 


20.94 


1.56 


20.94 


20.93 


1.74 


22 


21.95 


1.53 


21.94 


1.63 


21.93 


1.73 


21.92 


1.82 


22 


23 


22.94 


1.60 


22.94 


1.70 


22.93 


1.80 


22.92 


1.90 


23 


24 


23.94 


1.67 


23.93 


1.78 


23.93 


1.88 


23.92 


1.99 


24 


25 


24.94 


1.74 


24.93 


1.85 


24.92 


1.96 


24.91 


2.07 


25 


26 


25.94 


1.81 


25.93 


1.93 


25.92 


2.04 


25.91 


2.15 


26 


27 


20.93 


1.88 


26.93 


2.00 


26.92 


2.12 


26.91 


2.24 


27 


28 


27.93 


1.95 


27.92 


2.08 


27.91 


2.20 


27.90 


2.32 


28 


29 


28.93 


2.02 


28.92 


2.15 


28.91 


2.28 


28.90 


2.40 


29 


30 
31 


29.93 


2.09 


29.92 


2,22 


29.91 


2.35 


29.90 


2.48 


30 
Tl 


30.92 


2.16 


30.91 


2.30 


30.90 


2.43 


30.89 


2.57 


32 


31.92 


2.23 


31.91 


2.37 


31.90 


2.51 


31.89 


2.65 


32 


33 


32.92 


2.30 


32.91 


2.45 


32.90 


2.59 


32.89 


2.73 


33 


34 


33.92 


2.37 


33.91 


2.52 


33.90 


2.67 


33.88 


2.82 


34 


35 


34.91 


2.44 


34.90 


2.59 


34.89 


2.75 


34.88 


2.90 


35 


36 


35.91 


2.51 


35.90 


2.67 


35.89 


2.82 


35.88 


2.98 


36 


37 


36.91 


2.58 


36.90 


2.74 


36.89 


2.90 


36.87 


3.06 


37 


38 


37.91 


2.65 


37.90 


2.82 


37.88 


2.98 


37.87 


3,15 


38 


39 


38.90 


2.72 


38.89 


2.89 


38.88 


3.06 


38.87 


3.23 


39 


40 


39.90 
40.90 


2.79 
2.86 


39.89 


2.96 


39.88 


3.14 


39.86 


3.31 


40 
41 


40.89 


3.04 


40.87 


3.22 


40.86 


3.40 


42 


41.90 


2.93 


41.88 


3.11 


41.87 


3.30 


41.86 


3.48 


42 


43 


42.90 


3.00 


42.88 


3.19 


42.87 


3.37 


42.85 


8.56 


43 


44 


43.89 


3.07 


43.88 


3.26 


43.86 


3.45 


43.85 


3.64 


44 


45 


44.89 


3.14 


44.88 


3.33 


44.86 


3.53 


44.85 


3.73 


45 


46 


45.89 


3.21 


45.87 


3.41 


45.86 


3.61 


45.84 


3.8] 


46 


47 


46.89 


3.28 


46.87 


3.48 


46.86 


3.69 


46.84 


3.89 


47 


48 


47.88 


3.35 


47.87 


3.56 


47.85 


3.77 


47.84 


3.97 


48 


49 


48.88 


3.42 


48.87 


3.63 


48.85 


3.84 


48.83 


4.06 


49 


50 

§ 

1 


49.88 


3.49 


49.86 


3.71 


49.85 


3.92 


49.83 


4.14 


_50 

.23 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


86 


Deg. 


851 


Deg. 


u, 


Deg. 


85 J Deg. 



TRAVERSE TABLE. 



?: 

1 
"5I 


4 Deg. 


4i Deg. 


4i Deg. 


4i Deg. 


2 

<D 

"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.88 


3.56 


50.86 


3.78 


50.84 


4.00 


50.82 


4.22 


52 


51-87 


3.63 


51.86 


3.85 


51.84 


4.08 


51.82 


4.31 


52 


53 


52.87 


3.70 


52.85 


3.93 


52.84 


4.16 


52.82 


4.39 


53 


54 


53.87 


3.77 


.53.85 


4.00 


53.83 


4.24 


53.81 


4.47 


54 


55 


54.87 


3.84 


54.85 


4.08 


54.83 


4.32 


54.81 


4.55 


55 


56 


55.86 


3.91 


55.85 


4.15 


.55.83 


4.39 


55.81 


4.64 


56 


57 


56.86 


3.98 


56.84 


4.22 


56.82 


4.47 


56.80 


4.72 


57 


58 


57.86 


4.05 


57.84 


4.30 


57.82 


4.55 


57.80 


4.80 


58 


.59 


58.86 


4.12 


58.84 


4.37 


58.82 


4.63 


58.80 


4.89 


59 


60 
61 


59.85 


4.19 


59.84 


4.45 


59.82 


4.71 


59.79 


4.97 


60 
61 


60.85 


4.26 


60.83 


4.52 


60.81 


4.79 


60.79 


5.05 


62 


61.85 


4.32 


61.83 


4.59 


61.81 


4.86 


61.79 


5.13 


62 


63 


62.85 


4.39 


62.83 


4.67 


62.81 


4.94 


62.78 


5.22 


63 


64 


63.84 


4.46 


63.82 


4.74 


63.80 


5.02 


63.78 


5.30 


64 


65 


64.84 


4.53 


64.82 


4.82 


64.80 


5.10 


64.78 


5.38 


65 


66 


65.84 


4.60 


65.82 


4.89 


65.80 


5.18 


65.77 


5.47 


66 


67 


66.84 


4.67 


66.82 


4.97 


66.79 


5.26 


66.77 


5.55 


67 


68 


67.83 


4.74 


67.81 


5.04 


67.79 


5.34 


67.77 


5.63 


68 


69 


68.83 


4.81 


68.81 


5.11 


68.79 


5.41 


68.76 


5.71 


69 


70 
71 


69.83 


4.88 


69.81 


5.19 


69.78 


5.49 


69.76 


5.80 


70 
71 


70.83 


4.95 


70.80 


5.26 


70.78 


5.57 


70.76 


5.88 


72 


71.82 


5.02 


71.80 


5.34 


71.78 


5.65 


71.75 


5.96 


72 


73 


72.82 


5.09 


72.80 


5.41 


72.77 


5.73 


72.75 


6.04 


73 


74 


73.82 


5.16 


73.80 


5.48 


73.77 


5.81 


73.75 


6.13 


74 


75 


74.82 


5.23 


74.79 


5.56 


74.77 


5.88 


74.74 


6.21 


75 


'76 


75.81 


5.30 


75.79 


5.63 


75.77 


5.96 


75.74 


6.29 


76 


77 


76.81 


5.37 


76.79 


5.71 


76.76 


6.04 


76.74 


6.38 


77 


78 


77.81 


5.44 


77.79 


5.78 


77.76 


6.12 


77.73 


6.46 


78 


79 


78.81 


5.51 


78.78 


5.85 


78.76 


6.20 


78.73 


6.54 


79 


80 
"81 


79.81 


5.58 


79.78 


5.93 


79.75 


6.28 


79.73 


6.62 


80 
81 


80.80 


5.65 


80.78 


6.00 


80.75 


6.36 


80.72 


6.71 


82 


81.80 


5.72 


81.78 


6.08 


81.75 


6.43 


81.72 


6.79 


82 


83 


82.80 


5.79 


82.77 


6.15 


82.74 


6.51 


82.71 


6.87 


83 


84 


83.80 


5.86 


83.77 


6.23 


83.74 


6.59 


83.71 


6.96 


84 


85 


84.79 


5.93 


84.77 


6.30 


84.74 


6.67 


84.71 


7.04 


85 


86 


85.79 


6.00 


85.76 


6.37 


85.73 


6.75 


85.70 


7.12 


86 


87 


86.79 


6.07 


86.76 


6.45 


86.73 


6.83 


86.70 


7.20 


87 


88 


87.79 


6.14 


87.76 


6,52 


87.73 


6.90 


87.70 


7.29 


88 


89 


88.78 


6.21 


88.76 


6.60 


88.73 


6.98 


88.70 


7.37 


89 


90 
91 


89.78 


6.28 


89.75 
90.75 


6.67 


89.72 


7.06 


89.69 


7.45 


90 
91 


90.78 


6.35 


6.74 


90.72 


7.14 


90.69 


7.54 


92 


91.78 


6.42 


91.75 


6.82 


91.72 


7.22 


91.68 


7.62 


92 


93 


92.77 


6.49 


92.74 


6.89 


92.71 


7.30 


92.68 


7.70 


93 


94 


93.77 


6.56 


93.74 


6.97 


93.71 


7.38 


93.68 


7.78 


94 


95 


94.77 


6.63 


94.74 


7.04 


94.71 


7.45 


94.67 


7.87 


95 


96 


95.77 


6.70 


95.74 


7.11 


95.70 


7.53 


95.67 


7.95 


96 


97 


96.76 


6.77 


96.73 


7.19 


96.70 


7.61 


96.67 


8.03 


97 


98 


97.76 


6.84 


97.73 


7.26 


97.70 


7.69 


97.66 


8.12 


98 


99 


98.76 


6.91 


98.73 


7.34 


98.69 


7.77 


98.66 


8.20 


99 


100 

1 

m 


99.76 


6.98 


99.73 


7.41 


99.69 


7.85 


99.66 


8.28 


100 

§ 

J 
.2 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


86] 


Deg. 


851 Deg. 


85A] 


Deg. 


85i Deg. 



13 



TRAVERSE TABLE. 



o 


5Deg. 


5iDeg. 


&|Deg. 


5J Deg. 


2 

P 


Lat. Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1.00 0.09 


1.00 


0,09 


1.00 


0.10 


0.99 


0.10 


1 


2 


1.99 0.17 


1.99 


0.18 


1.99 


0.19 


1.99 


0.20 


2 


3 


2.99 0.26 


2.99 


0.27 


2.99 


0.29 


2.98 


0.30 


3 


41 3.98 


0..35I 


3.98 


0.37 


3.98 


0.38 


3.98 


0.40 


4 


5 


4.98 


0.44 


4.98 


0.46 


4.98 


0.48 


4.97 


0..50 


5 


6 


5.98 


0..52 


5.97 


0.55 


5.97 


0.58 


5.97 


0,60 


6 


7 


6.97 


0.61 


0.97 


0.64 


6.97 


0.67 


6.96 


0.70 


7 


8 


7.97 


0.70 


7.97 


0.73 


7.96 


0.76 


7.96 


0.80 


8 


9 


8.97 


0.78 


8.96 


0.82 


8 96 


0.86 


8.95 


0.90 


9 


10 
11 


9.96 
10.96 


0.87 


9.96 


0.92 


9.95 


0.96 


9.95 


1.00 


10 


0.96! 


10.95 


1.01 


10.95 


1.05 


10.94 


1.10 


u 


12 


1 1 . 95 


1.05 


11.95 


1.10 


11,94 


1.15 


11.94 


1.20 


12 


13 


12.95 


1.13 


12.95 


1.19 


12.94 


1.25 


12.93 


1.30 


13 


14 


13.95 


1.22 


13.94 


1.28 


13.94 


1.34 


13.93 


1.40 


14 


15 


14.94 


1.31 


14.94 


1.37 


14.93 


1.44 


14.92 


1.50 


15 


16 


15.94 


1.39 


15.93 


1.46 


15.93 


1.53 


15.92 


1.60 


16 


17 


16.94 


1.48 


16.93 


1.56 


16.92 


1.63 


16.91 


1.70 


17 


IS 


17.93 


1..57 


17.92 


1.65 


17.92 


1.73 


17.91 


1.80 


18 


19 


18.93 


1.66 


18.92 


1.74 


18.91 


1.82 1 


18.90 1.90 


19 


20 


19.92 


1.74! 


19.92 


1.83 


19.91 


1.92 1 


19.90 


2.00 


20 


21 


20.92 


1.83; 


20.91 


1.92 


20.90 


3.01 


20.89 


2.10 


21 


22 


21.92 


1.92; 


21.91 


2.01 


21.90 


2.11 


21.89 


2.20 


22 


23 


22.91 


2.00 22.90 


2.10 


22.89 


2.20 


22.88 


2.30 


23 


24 


23.91 


2.09 ,23.90 


2.20 


23.89 


2.30 


23.88 


2.40 


24 


25 


24.90 


2.18 


24.90 


2.29 


24.88 


2.40 


24.87 


2.50 


25 


26 


25.90 


2.27 


25.89 


2.38 


25.88 


2.49 


25.87 


2.60 


26 


27 


26.90 


2.35 


26.89 


2.47 


26.88 


2.59 


26.86 


2.71 


27 


28 


27.89 


2.44 


27.88 


2,56 


27.87 


2.68 


27.86 


2.81 


28 


29 


28.89 


2.53 


28.88 


2.65 


28.87 


2.78 


23.85 


2.91 


29 


30 
31 


29.89 


2.61 


29.87 


2.75 


29.86 
30.86 


2.88 
2.97 


29.85 


3.01 


30 


30.88 


2.70 


30.87 


2.84 


30.84 


3.11 


31 


32 


31.88 


2.79 


31.87 


2.93 


31.85 


3.07 


31.84 


3.21 


32 


33 


32.87 


2.88 


32.86 


3.02 


32.85 


3.16 


32.83 


3.31 


33 


34 


33.87 


2.96 


33.86 


3.11 


33.84 


3.26 


33.83 


3,41 


34 


35 


34.87 


3.05 


34.85 


3.20 


34.84 


3.35 


34.82 


3.51 


35 


36 


35.86 


3.14 


35.85 


3.29 


35.83 


3.45 


35.82 


3.61 


36 


37 


36.86 


3.22 


36.84 


3.39 


36.83 


3.55 


.36.81 


3.71 


37 


38 


37.86 


3.31 


37.84 


3.48 


37.83 


3.64 


37.81 


3,81 


38 


a9 


38.85 


3.40 


38.84 


3.57 


38.82 


3.74 


38.80 


3.91 


39 


40 
41 


39.85 


3.49 


39.83 


3.66 


.39.82 


3.83 


39.80 


4.01 


40 
41 


40.84 


3.57 


40.83 


3.75 


40.81 


3.93 


40.79 


4.11 


42 


41.84 


3.66 


41.82 


3.84 


41.81 


4.03 


41.79 


4.21 


42 


43 


42.84 


3.75 


42.82 


3.93 


42.80 


4.12 


42.78 


4.31 


43 


44 


43.83 


3.83 


43.82 


4,03 


43.80 


4.22 


43.78 


4.41 


44 


45 


44.83 


3.92 


44.81 


4.12 


44.79 


4.31 


44.77 


4.51 


45 


46 


45.82 


4.01 


45.81 


4.21 


45.79 


4.41 


45,77 


4.61 


46 


47 


46.82 


4.10 


46.80 


4.30 


46.78 


4.50 


46.76 


4.71 


47 


48 


47.82 


4.18 


47.80 


4.39 


47.78 


4.60 


47.76 


4.81 


48 


49 


48.81 


4.27 


48.79 


4.48 


48.77 


4.70 


48.75 


4.91 


49 


50 


49.81 


4.36 


49.79 


4.58 


49.77 


4.79 


49.75 


5.01 


_50 


1 
.2 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 


85 Deg. 


841 Deg. 


Ml 


Deg. 


M\ Deg. 



TRAVERSE TABLE. 



13 



1 

a 
"51 


5 Deg. 


5i Deg. 


^^ 


Deg. 


5i Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.81 


4.44 


60.79 


4,67 


50.77 


4.89 


50.74 


5.11 


52 


51.80 


4.53 


51.78 


4.76 


51.76 


4.98 


51.74 


5.21 


52 


53 


52.80 


4.62 


62,78 


4.85 


.52.76 


5.08 


52.73 


5.31 


53 


64 


53.79 


4.71 


63,77 


4.94 


63.76 


5.18 


53.73 


5.41 


54 


55 


54.79 


4.79 


54.77 


5.03 


54.75 


5.27 


54.72 


5.51 


55 


56 


55.79 


4.88 


55.77 


5,12 


55.74 


5.37 


.55.72 


5.61 


56 


57 


56.78 


4.97 


56,76 


5.22 


56.74 


5.46 


56.71 


5.71 


57 


58 


57.78 


5.06 


57, 7« 


5,31 


57.73 


5.56 


57.71 


5.81 


58 


59 


58.78 


5.14 


.58,75 


5,40 


58.73 


5.65 


58.70 


5,91 


59 


60 
61 


59.77 


5.23 


59.75 


5.49 


69.72 


5.75 


,59.70 


6.01 


60 


60.77 


5.32 


60.74 


5.58 


60.72 


5,85 


60.69 


6.11 


61 


62 


61.76 


5.40 


61.74 


5.67 


61.71 


5.94 


61.69 


6,21 


62 


63 


62.76 


5.49 


62.74 


5,76 


62.71 


6.04 


62.68 


6,31 


63 


64 


63.76 


5.58 


63.73 


5,86 


63.71 


6.13 


63.68 


6,41 


64 


65 


64,75 


5,67 


64.73 


5.95 


64.70 


6.23 


64.67 


6,51 


65 


66 


65.75 


5.75 


65.72 


6,04 


65.70 


6.33 


65.67 


6.61 


66 


67 


66.75 


5.84 


66,72 


6.13 


66.69 


6.42 


66.66 


6.71 


67 


68 


67.74 


5.93 


67,71 


6.22 


67.69 


6.52 


67.66 


6.81 


68 


69 


68.74 


6.01 


68.71 


6.31 


68.68 


6.61 


68.65 


6.91 


69 


70 
71 


69.73 


6.10 


69.71 


6.41 


69.68 
70.67 


6.71 
6.81 


69.65 


7,01 


70 


70.73 


6.19 


70.70 


6.50 


70.64 


7.11 


71 


72 


71.73 


6.28 


71.70 


6.59 


71.67 


6.90 


71.64 


7.21 


72 


73 


72,72 


6.36 


72.69 


6.68 


72.66 


7.00 


72.63 


7.31 


73 


74 


73.72 


6.45 


73.69 


6.77 


73.66 


7.09 


73.63 


7.41 


74 


75 


74.71 


6.54 


74.69 


6.86 


74.65 


7.19 


74.62 


7.51 


75 


76 


75.71 


6.62 


75.68 


6.95 


75.65 


7.28 


76.62 


7.61 


76 


77 


76.71 


6.71 


76.68 


7,05 


76.65 


7.38 


76.61 


7.71 


77 


78 


77.70 


6.80 


77.67 


7,14 


77.64 


7,48 


77.61 


7.81 


78 


79 


78.70 


6.89 


78.67 


7,23 


78,64 


7,57 


78.60 


7.91 


79 


80 

8] 


79.70 
80.69 


6.97 


79.66 


7.32 


79,63 


7,67 


79.60 


8.02 


80 
81 


7.06 


80.66 


7.41 


80.63 


7.76 


80.69 


8.12 


8ii 


81.69 


7.15 


81.66 


7.50 


81.62 


7.86 


81.59 


8.22 


82 


83 


82.68 


7.23 


82,65 


7.59 


82,62 


7.96 


82.58 


8.32 


83 


84 


83.68 


7.32 


83,65 


7.69 


83,61 


8.05 


83.58 


8.42 


84 


85 


84.68 


7.41 


84,64 


7,78 


84.61 


8.15 


84.57 


8.52 


85 


86 


85.67 


7.50 


85,64 


7,87 


85,60 


8,24 


85.57 


8.62 


86 


87 


86.67 


7,58 


86,64 


7.96 


86.60 


8.34 


86.66 


8.72 


87 


88 


87.67 


7.67 


87.63 


8.05 


87.59 


8.43 


87.66 


8.82 


88 


89 


88.66 


7.76 


88,63 


8,14 


88,59 


8.-53 


88.65 


8.92 


89 


90 
91 


89.66 


7,84 


89,62 


8,24 


89.69 


8.63 


89.55 


9.02 


90 


90.65 


7,93 


90,62 


8.33 


90,68 


8.72 


90,54 


9.12 


91 


92 


91.65 


8.02 


91,61 


8.42 


91,58 


8,82 


91,54 


9.22 


92 


93 


92.65 


8.11 


92,61 


8.51 


92.57 


8,91 


92.53 


9.32 


93 


94 


93.64 


8.19 


93,61 


8.60 


93.57 


9,01 


93.53 


9.42 


94 


95 


94.64 


8.28 


94,60 


8,69 


94.56 


9,11 


94.52 


9.52 


95 


96 


95.63 


8.37 


96.60 


8,78 


95.66 


9,20 


95.52 


9,62 


96 


97 


96.63 


8.45 


96.69 


8,88 


96.55 


9.30 


96.51 


9,72 


97 


98 


97.63 


8.54 


97,59 


8,97 


97.65 


9.39 


97.51 


9.82 


98 


99 


98.62 


8.63: 


98.59 


9.06 


98.54 


9.49 


98.50 


9.92 


99 


JlOO 

s 


99.62 


8.72 


99.68 


9.15 


99.. 54 


9.. 58 


99.50 


10,02 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


85 1 


)eg. 


84J Deg. 


84i Deg. 


84i Deg. 



14 



TKAVERSE TABIE- 



1 


6 Deg. 


64 Deg. 


e,o.. 1 


61 Deg. 


5 

9 
1 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.99 


0.10 


0.99 


0,11 


0.99 


0,11 


0.99 


-0.12 


2 


1.99 


0.21 


1.99 


0.22 


1.99 


0,23 


1,99 


0.24 


2 


3 


2.98 


0.31 


2.98 


0.33 


2,98 


0,34 


2,98 


0.35 


3 


4 


3.98 


0.41 


3.98 


0.44 


3.97 


0,45 


3.97 


0.47 


4 


5 


4.97 


0.52 


4.97 


0.54 


4.97 


0.57 


4,97 


0,59 


5 


6 


5.97 


0.63 


5.96 


0.65 


5.98 


0,68 


5.96 


0.71 


6 


7 


6,96 


0.73 


6.96 


0.76 


6.96 


0,79 


6.95 


0.82 


7 


8 


7.96 


0.84 


7.95 


0,87 


7.95 


0.91 


7.94 


0.94 


8 


9 


8.95 


0.94 


8.95 


0.98 


8.94 


1,02 


8.94 


1.06 


9 


10 


9.95 


1.05 


9.94 


1.09 


9.94 


1.13 


9.93 


1.18 


10 


11 


10.94 


1.15 


10.93 


1.20 


10.93 


1.25 


10.92 


1.29 


11 


12 


11.93 


1.25 


11.93 


1.31 


11.92 


1.36 


11.92 


1.41 


12 


13 


12.93 


1-36 


12.92 


1,42 


12.92 


1.47 


12.91 


1.53 


13 


14 


13.92 


1.46 


13.92 


1.52 


13.91 


1.59 


13.90 


1.65 


14 


15 


14.92 


1.57 


14.91 


1.63 


14.90 


1.70 


14,90 


1.76 


15 


16 


15.91 


1.67 


15.90 


1.74 


15.90 


1.81 


15.89 


1.88 


16 


17 


16.91 


1.78 


16.90 


1.85 


16.89 


1.92 


16,88 


2.00 


17 


18 


17.90 


1.88 


17.89 


1.96 


17.88 


2.04 


17.88 


2.12 


18 


19 


18.90 


1.99 


18.89 


2.07 


18.88 


2.15 


18.87 


2.23 


19 


20 
21 


19.89 


2.09 


19.88 


2.18 


19,87 


2.26 


19.86 


2.35 

2.47 


20 
21 


20.88 


2.20 


20.88 


2.29 


20,87 


2.38 


20,85 


22 


21.88 


2.30 


21.87 


2.40 


21.86 


2,49 


21.85 


2.59 


22 


23 


22.87 


2.40 


22.86 


2.50 


22.85 


2.60 


22,84 


2.70 


23 


24 


23.87 


2.51 


23.86 


2.61 


23.85 


2,72 


23,83 


2.82 


24 


25 


24.86 


2.61 


24.85 


2.72 


24.84 


2.83 


24.83 


2.94 


25 


26 


25.86 


2.72 


25.85 


2.83 


25.83 


2.94 


25.82 


3.06 


26 


27 


26.85 


2,82 


26.84 


2.94 


26.83 


3.06 


26.81 


3.17 


27 


28 


27.85 


2.93 


27.83 


3.05 


27.82 


3.17 


27.81 


3.29 


28 


29 


28.84 


3.03 


28.83 


3.16 


28.81 


3.28 


28.80 


3,41 


29 


30 


29.84 


3.14 


29.82 


3.27 


29.81 


3.40 


29.79 


3., 53 


30 


31 


30.83 


3.24 


30.82 


3.37 


30.80 


3.51 


30.79 


3.64 


31 


32 


31.82 


3.34 


31.81 


3.48 


31.79 


3.62 


31.78 


3.76 


32 


33 


32.82 


3.45 


32.80 


3.59 


32.79 


3.74 


32.77 


3.88 


33 


34 


33.81 


3.55 


33.80 


3.70 


33.78 


3.85 


,33.76 


4,00 


34 


35 


34.81 


3.66 


34.79 


3.81 


34.78 


3.96 


34.76 


4.11 


35 


36 


35.80 


3.76 


35 . 79 


3.92 


35 . 77 


4,08 


35.75 


4.23 


36 


37 


36.80 


3.87 


36.78 


4.03 


36.76 


4.19 


35 , 75 


4,35 


37 


38 


37.79 


3.97 


37.77 


4.14 


37.76 


4,30 


37,74 


4,47 


38 


39 


38.79 


4.08 


38.77 


4.25 


38 . 75 


4.41 


38.73 


4.58 


39 


40 
41 


39.78 


4.18 


39.76 


4.35 


39.74 


4,53 


39.72 


4.70 


40 


40.78 


4.29 


40.76 


4.46 


40.74 


4.64 


40.72 


4.82 


41 


42 


41.77 


4.39 


41.75 


4.57 


41.73 


4.70 


41.71 


4.94 


42 


43 


42.76 


4.49 


42.74 


4.68 


42.72 


4.87 


42.70 


5.05 


43 


44 


43.76 


4.60 


43.74 


4.79 


43.72 


4.98 


43.70 


5.17 


44 


45 


44.75 


4.70 


44.73 


4.90 


44.71 


5.09 


44.69 


5.29 


45 


46 


45.75 


4,81 


45.73 


5.01 


45.70 


5.21 


45.68 


5.41 


46 


47 


46.74 


4,91 


46.72 


5.12 


46.70 


5.32 


46,67 


5.52 


47 


48 


47.74 


5.02 


47.71 


5.23 


47.69 


5.43 


47.67 


5,64 


48 


49 


48.73 


5.12 


48.71 


5.34 


48.69 


5.55 


48.66 


5.76 


49 


50 


49.73 


5.23 


49.70 


5.44 


49.68 


5.66 


49,65 


5.88 


50 


i 
s 


Dep. 


Lat. 


Dep. 
831 


Lat. 
Deg. 


Dep. 


Lat. 


Dep. 


Lat. 


Q 


84 1 


Deg. 


83i 


Deg. 


83i Deg. 



TRAVERSE TABLE. 



15 



51 


6Deg. 


64Deg. 


6^E 




►eg 

Dep. 


61 Deg. 1 


? 
51 


Lat. 


Dep. 


LaU 


Dep. 


Lat. 


Lat. 


Dep. 


50.72 


5.33 


50.70 


5.55 


50.67 5.77 1 


50.65 


5.99 


52 


51.72 


5.44 


51.69 


5.66 


51.67 


5.89 


51.64 


6.11 


52 


53 


52.71 


5.. 54 


.52.68 


5.77 


.52.66 


6.00 


52.63 


6.23 


53 


54 


53.70 5.64 


53,68 


5.88 


53.65 


6.11 


53.63 


6.35 


54 


55 


54.70 


5.75 


54,67 


5.99 


54.65 


6.23 


54.62 


6.46 


55 


56 


55.69 


5.85 


55.67 


6.10 


55.64 


6-34 


55.61 


6.. 58 


56 


57 


56.69 


5.96 


56.66 


6.21 


56.63 


6.45 


56.60 


6.70 


57 


58 57.68 


6.06 


57.66 


6.31 


57.63 


6.57 


57,60 


6.82 


58 


59 


58.68 


6.17 


58.65 


6.42 


.58.62 


6.68 


58.59 


6.93 


59 


60 
61 


59.67 


6.27 


59.64 


6.53 


59.61 


6.79 


59.58 
60.58 


7.05 

7.17 


60 
61 


60.67 


6.. 38 


60.64 


6.64 


60.61 


6,91 


62 


61.66 


6.48 


61.63 


6.75 


01.60 


V.02 


61.57 


7.29 


62 


63 


62.65 


6.59 


62.63 


6.86 


62.60 


7.13 


62.56 


7.40 


63 


64 


63.65 


6.69 


63 . 62 


6.97 


63.59 


7.25 


63.56 


7.52 


64 


65 


64.64 


6.79 


64.61 


7.08 


64.58 


7.36 


64.55 


7.64 


65 


66 


65.64 


6.90 


65.61 


7.19 


65.58 


7.47 


65.54 


7.76 


66 


67 


66.63 


7.00 


66.60 


7.29 


66.57 


7 58 


66.54 


7.88 


67 


68 


67.63 


7.11 


67.60 


7.40 


67.56 


7.70 


67.53 


7.99 


68 


69 


68.62 


7.21 


68 . 59 


7.51 


68.56 


7.81 


68.52 


8.11 


69 


70 
71 


69.62 


7.32 


69.58 


7,62 


69.55 


7.92 


69.51 


8.23 


70 
71 


70.61 


7.42 


70.58 


7,73 


70.54 


8.04 


70.51 


8.. 35 


72 


71.61 


7.53 


71.57 


7.84 


71. .54 


8.15 


71.50 


8.46 


72 


73 


72.60 


7.63 


72.57 


7.95 


72.-53 


8.26 


72.49 


8.. 58 


73 


74 


73.59 


7.74 


73.56 


8.06 


73.. 52 


8.. 38 


73.49 


8.70 


74 


75 


74. .59 


7.84 


74.55 


8.17 


74.52 


8.49 


74.48 


8.82 


75 


76 


75.58 


7.94 


75,. 55 


8,27 


75,51 


8.60 


75.47 


8.93 


76 


77 


76.58 


8.05 


76.54 


8.38 


76.51 


8.72 


76.47 


9.05 


77 


78 


77.57 


8.15 


77.. 54 


8.49 


77.50 


8.83 


77.46 


9.17 


78 


79 


78.. 57 


8.26 


78.53 


8.60 


78,49 


8.94 


78.45 


9.29 


79 


80 

81 


79.56 


8.86 


79.53 


8,71 


79.49 


9.06 


79.45 


9.40 


80 
81 


80.56 


8.47 


80.52 


8.82 


80.48 


9.17 


80.44 


9.52 


82 


81.. 55 


8.57 


81.51 


8.93 


81.47 


9.28 


81.43 


9.64 


82 


83 


82.55 


8.68 


82.51 


9.04 


82.47 


9.40 


i 82.42 


9.76 


83 


84 


83.54 


8.78 


83.50 


9.14 


83.46 


9.61 


83.42 


9.87 


84 


85 


84.53 


8.88 


84.50 


9.25 


84.45 


9.62 


84.41 


9.99 


85 


86 


85.53 


8.99 


85.49 


9.36 


85.45 


9.74 


185.40 


10.11 


86 


87 


86.52 


9.09 


86.48 


9.47 


86.44 


9.85 


86.40 


10.23 


87 


88 


87.52 


9.20 


87.48 


9.58 


87.43 


9.96 


87.39 


10.34 


88 


89 


88.51 


9.30 


88.47 


9.69 


88.43 


10.08 


'88.38 


10.46 


89 


90 
91 


89.51 


9.41 


89.47 


9.80 


89.42 


10.19 


89.38 


10.58 


90 
91 


90.50 


9.51 


90.46 


9.91 


90.42 


10.30 


: 90.37 


10.70 


92 


91.50 


9.62 


91.45 


10.02 


91.41 


10.41 


91,30 


10.81 


92 


93 


92.49 


9.72 


92.45 


10.12 


92.40 


10.53 


92.36 


10.93 


93 


94 


93.49 


9.83 


93.44 


10.23 


93.40 


10.64 


93.35 


11.05 


94 


95 


94.48 


9.93 


94.44 


10.34 


94,39 


10.75 


94.. 34 


11.17 


95 


96 


95.47 


10.03 


95.43 


10.45 


95,38 


10,87 


95.33 


11.28 


96 


97 


96.47 


10.14 


1 96.42 


10.56 


96.38 


10.98 


96.33 


11,40 


97 


98 


97.46 


10.24 


1 97.42 


10.67 


97.37 


11.09 


97.32 


11.52 


98 


99 


98.46 


10,35 


98.41 


10.78 


98.36 


11.21 


98.31 


11.64 


99 


100 

i 

S 
.2 
Q 


99.45 


10.45 


99.41 


10.89 


99.36 


11.32 


99.31 


11.75 


100 

i 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dop. 


Lat. 


S4 Beg. 


831 


Deg. 


83A Deg. 


83i Deg. 



16 



TRAVERSE TABLE. 



o 


7Deg. 


7i Deg. 


n 


Degr. 


n Deg. 


C 


1 


















f 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 


Dep. 


Lat. 


Dep. 


0.99 


0.12 


0.99 


0.13 


0.99 


0.13 


0.99 


0.J3 


~^ 


2 


1.99 


0.24 


1.98 


0.25 


1.98 


0.20 


1.98 


0.27 


2 


3 


2.98 


0.37 


2.98 


0.38 


2.97 


0.39 


2,97 


0.40 


3 


4 


3.97 


0.49 


3.97 


0.50 


3.97 


0.52 


3.96 


0.54 


4 


5 


4.96 


0.61 


4.96 


0.63 


4.96 


0.65 


4.95 


0.67 


5 


6 


5.96 


0.73 


5.95 


0.76 


5.95 


0.78 


5.95 


0.81 


6 


7 


6.95 


0.85 


0.94 


0.88 


6.94 


0.91 


6.94 


0.94 


7 


8 


7.94 


0.97 


7.94 


1.01 


7.93 


1.04 


7.93 


1.08 


8 


9 


8.93 


1.10 


8.93 


1.14 


8.92 


1.17 


8.92 


1.21 


9 


10 
11 


9.93 


1.22 


9.92 


1.26 


9.91 


1.31 


9.91 


1.35 


10 


10.92 


1.34 


10.91 


1.39 


10.91 


1.44 


10.90 


1.48 


11 


12 


11.91 


1.46 


11.90 


1.51 


11.90 


1.57 


11.89 


1.62 


12 


13 


12.90 


1.58 


12.90 


1.64 


12.89 


1.70 


12.88 


1.75 


13 


14 


13.90 


1.71 


13.89 


1.77 


13.88 


1.83 


13.87 


1.89 


14 


15 


14.89 


1.83 


14.88 


1.89 


14.87 


1.96 


14.86 


2.02 


15 


16 


15.88 


1.95 


15.87 


2.02 


15.86 


2.09 


15.85 


2.16 


16 


17 


16.87 


2.07 


16.86 


2.15 


16.85 


2.22 


16.84 


2.29 


17 


18 


17.87 


2.19 


17.86 


2.27 


17.85 


2.35 


17.84 


2.43 


18 


19 


18.86 


2.32 


18.85 


2.40 


18.84 


2.48 1 


18.83 


2.56 


19 


20 
21 


19.85 


2.44 


19.84 


2.52 


19.83 
20.82 


2.61 1 


19.82 


2.70 


20 
21 


20.84 


2.56 


20.83 


2.65 


2.74 


20.81 


2.83 


22 


21.84 


2.68 


21.82 


2.78 


21.81 


2.87 


21.80 


2.97 


22 


23 


22.83 


2.80 


22.82 


2.90 


22.80 


3.00 


22.79 


3.10 


23 


24 


23.82 


2.92 


23.81 


3.03 


23.79 


3.13 


23.78 


3.24 


24 


25 


24.81 


3.05 


24.80 


3.15 


24.79 


3.26 


24.77 


3.37 


25 


26 


25.81 


3.17 


25.79 


3.28 


25.78 


3.39 


25.76 


3.51 


26 


27 


20.80 


3.29 


26 . 78 


3.41 


26.77 


3.52 


26.75 


3.64 


27 


28 


27.79 


3.41 


27.78 


3.53 


27.76 


3.65 


27.74 


3.78 


28 


29 


28.78 


3.53 


28.77 


3.66 


28.75 


3.79 


28.74 


3.91 


29 


30 
31 


29.78 


3.66 


29.76 


3.79 


29.74 


3.92 
4.05 


29.73 


4.05 


30 


30.77 


3.78 


30.75 


3.91 


30.73 


30.72 


4.18 


31 


32 


31.76 


3.90 


31.74 


4.04 


31.73 


4.18 


31.71 


4.32 


32 


33 


32.75 


4.02 


.32.74 


4.16 


32.72 


4.31 


32.70 


4.45 


33 


34 


33.75 


4.14 


33.73 


4.29 


33.71 


4.44 


33.69 


4.58 


34 


35 


34.74 


4.27 


34.72 


4.42 


34.70 


4.. 57 


.34.68 


4.72 


35 


36 


35.73 


4.39 


35.71 


4.54 


35.69 


4.70 


35.67 


4.85 


36 


37 


3.6.72 


4.51 


36.70 


4.67 


36.68 


4.83 


36.66 


4.99 


37 


38 


37.72 


4.63 


37.70 


4.80 


37.67 


4.96 


37.65 


5.12 


38 


39 


38.71 


4.75 


38.69 


4.92 


38.67 


5.09 


38.64 


5.26 


39 


40 
41 


39.70 
40.70 


4.87 


39.68 


5.05 


39.66 


5.22 


39.63 


5.39 


40 
41 


"BTob 


40.67 


5.17 


40.65 


5.35 


40.63 


5.53 


42 


41.69 


5.12 


41.66 


5.30 


41.64 


5.48 


41.62 


5.66 42 


43 


42.68 


5.24 


42.66 


5.43 


42.63 


5.61 


42.61 


5.80 43 


44 


43.67 


5.36 


43.65 


5.55 


43.62 


5.74 


43.60 


5.93 1 44 


45 


44.67 


5.48 


44.64 


5.68 


44.62 


5.87 


44.59 


6.0' 45 


46 


45.66 


5.61 


45.63 


5.81 


45.61 


6.00 


45. 58 


6.20 


46 


47 


46.65 


5.73 


46.62 


5.93 


46.60 


6.13 


46.57 


6.34 


47 


48 


47.64 


5.85 


47.62 


6.06 


47.59 


6.27 


47.56 


6.47 


48 


49 


48 . 63 


5.97 


48.61 


6.18 


48.58 


6.40 


48.55 


6.61 


49 


50 


49.63 


6.09 


49.60 


6.31 


49.-57 


6.53 


49 . 34 


6.74 


_5a 


i 

3 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


c 


83Deg. 


821 Deg. 


821 


Deg. 


82i Deg. 



TR AVERSE TABLE. 



17 



~5\ 


7Deg. 


7i Deg. 


H Deg. 


71 Deg. 


1 

? 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 

6.88 


50.62 


6.22 


50.59 


6.44 


.50.56 


6.66 


'W.W 


52 


51.61 


6.34 


51.58 


6.56 


51.56 


6.79 


51.53 


7.01 


52 


53 


52.60 


6.46 


.52.58 


6.69 


.52.55 


6.92 


52.52 


7.15 


53 


54 


53.60 


6.58 


53.57 


6.81 


53.54 


7.05 


53.51 


7.28 


54 


55 


54.59 


6.70 


54.56 


6.94 


54.53 


7.18 


54.50 


7.42 


55 


58 


55.58 


6.82 


55.55 


7.07 


55.62 


7.31 


55.49 


7.55 


56 


57 


56.58 


6.95 1 


56.54 


7.19 


56.51 


7.44 


56.48 


7.69 


57 


58 


57.57 


7. 07 


57.54 


7.32 


57.50 


7.57 


57.47 


7.82 


58 


59 


58.56 


7.19 


58.53 


7.45 


58.50 


7.70 


58.46 


7.96 


59 


60 
61 


59.55 


7.31 


59.52 


7.57 
7.70 


59.49 


7.83 


59.45 


8.09 


60 

61 


60.55 


7.43 


60.51 


60.48 


7.96 


60.44 


8.23 


62 


61.54 


7.56 


61.50 


7.82 


61.47 


8.09 


61.43 


8.36 


62 


63 


62.53 


7.68 


62.50 


7.95 


62.46 


8.22 


62.42 


8.50 


63 


64 


63.52 


7.80 


63.49 


8.08 


63.45 


8.35 


63.42 


8.63 


64 


65 


64.52 


7.92 


64.48 


8.20 


64.44 


8.48 


64.41 


8.77 


65 


66 


65.51 


8.04 


65.47 


8.33 


65.44 


8.61 


65.40 


8.90 


66 


67 


66 50 


8.17 


66.46 


8.46 


66.43 


8.75 


66.39 


9.04 


67 


68 


67.49 


8.29 


67.46 


8.. 58 


67.42 


8.88 


67.38 


9.17 


68 


69 


68.49 


8.41 


68.45 


8.71 


68.41 


9.01 


68.37 


9.30 


69 


70 
7i 


69.48 


8.53 


69.44 


8.83 


69.40 


9.14 


69.36 


9.44 


70 
71 


70.47 


8.65 


70.43 


8.96 


70.39 


9.27 


70.35 


9.57 


72 


71.46 


8.77 


71.42 


9.09 


71.38 


9.40 


71.. 34 


9.71 


72 


73 


72.46 


8.90 


72.42 


9.21 


72 38 


9.. 53 


72.33 


9.84 


73 


74 


73.45 


9.02 


73.41 


9.34 


73.37 


9.66 


73.32 


9.98 


74 


75 


74.44 


9.14 


74.40 


9.46 


74.36 


9.79 


74.31 


10.11 


75 


76 


75.43 


9.26 


75.39 


9.59 


75.35 


9.92 


75.31 


10.25 


76 


77 


76.43 


9.38 


76.38 


9.72 


76.34 


10.05 


76.30 


10.38 


77 


. 78 


77.42 


9.51 


177.38 


9.84 


77.33 


10.18 


77.29 


10.52 


78 


79 


78.41 


9.63 


78.37 


9.97 


78.32 


10.31 


78.28 


10.65 


79 


80 
81 


79.40 


9.75 


79.36 


10.10 


79.32 
80.31 


10.44 


79.27 


10.79 


80 
81 


80.40 


9.87 


80.35 


10.22 


10.57 


80.26 


10.92 


82 


81.39 


9.99 


81. .34 


10.35 


81.30 


10.70 


81.25 


11.06 


82 


83 


82.38 


10.12 


82.34 


10.47 


82.29 


10.83 


82.24 


11.19 


83 


84 


83,37 


10.24 


83.33 


10.60 


83.28 


10.96 


83.23 


11.33 


84 


85 


84.37 


10.36 


84.32 


10.73 


84.27 


11.09 


84.22 


11.46 


85 


86 


85.36 


10.48 


85.31 


10.85 


85.26 


11.23 


85.21 


11.60 


86 


87 


86.35 


10.60 


86.30 


10.98 


86.26 


11.36 


86.21 


11.73 


87 


88 


87.34 


10.72 


87.30 


11.11 


87.25 


11.49 


87.20 


11.87 


88 


89 


88.34 


10.85 


88.29 


11.23 


88.24 


11.62 


88.19 


12.00 


89 


90 
91 


89.33 


10 97 


89.28 


11.36 


89.23 


11.75 


89.18 


12.14 


90 
91 


90.32 


11.09 


90.27 


11.48 


90.22 


11.88 


90.17 


12.27 


92 


91.31 


11.21 


91.26 


11.61 


91.21 


12. Oi 


91.16 


12.41 


92 


93 


92.31 


11. .33 


92.26 


11.74 


92.20 


12.14 


92.15 


12.54 


93 


94 


93.30 


11.46 


93.25 


11.86 


93.20 


12.27 


93.14 


12.68 


94 


95 


94.29 


11.58 


94.24 


11.99 


94.19 


12.40 


94.13 


12.81 


95 


96 


95.28 


11.70 


95.23 


12.12 


95.18 


12.53 


95.12 


12.95 


96 


97 


96.28 


11.82 


96.22 


12.24 


96.17 


12.66 


96.11 


13.08 


97 


98 


97.27 


11.94 


97.22 


12.37 


97.16 


12.79 


97.10 


13.22 


98 


99 


98.26 


12.07 


98.21 


12.49 


98.15 


12.92 


98.10 


13.35 


99 


100 


99.25 


12.19 


99.20 


12.62 


99.14 


13.05 


99.09 


13.49 


100 

.2 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


83 


Deg. 


821 Deg. 


B2i Deg. 


82i Deg. 



18 



TRAVERSE TABLE. 



g 


8 Deg. 


8i Deg. 


H Deg. 


81 Deg. 


5 
ST 

r 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.99 


0.14 


0.99 


0.14 


0.99 


0.15 


0.99 


0.15 


2 


1.98 


0.28 


1.98 


0.29 


1.98 


0.30 


1.98 


0.30 


2 


3 


2.97 


0.42 


2.97 


0.43 


2.97 


0.44 


2.97 


0.46 


3 


4 


3.96 


0..56 


3.96 


0.57 


3.96 


0.59 


3.95 


0.61 


4 


5 


4.95 


0.70 


4.95 


0.72 


4.95 


0.74 


4.94 


0.76 


5 


6 


5.94 


0.84 


5.94 


0.86 


5.93 


0.89 


5.93 


0.91 


6 


7 


6.93 


0,97 


6.93 


1.00 


6.92 


1.03 


6.92 


1.06 


7 


8 


7.92 


1.11 


7.92 


1.15 


7.91 


1.18 


7.91 


1.22 


8 


9 


8.91 


1.25 


8.91 


1.29 


8.90 


1..33 


8.90 


1.37 


9 


10 
11 


9.90 


1.39 


9.90 


1.43 


9.89 


1.48 


9.88 


1..52 


10 


10.89 


1.53 


\0.89 


1.58 


10.88 


1.63 


10.87 


1.67 


11 


12 


11.88 


1.67 


11.88 


1.72 


11.87 


1.77 


11.86 


1.83 


12 


13 


12.87 


1.81 


12.87 


1 . 87 


12.86 


1.92 


12.85 


1.98 


13 


14 


13.86 


1.95 


13.86 


2.01 


13.85 


2.07 


13.84 


2.13 


14 


15 


14.85 


2.09 


14.85 


2.15 


14.84 


2.22 


14.83 


2.28 


15 


16 


15.84 


2.23 


15.84 


2.30 


15.82 


2.38 


15.81 


2.43 


16 


17 


16.83 


2.37 


16.83 


2.44 


16.81 


2.51 


16.80 


2.59 


17 


IS 


17.82 


2.51 


17.81 


2.58 


17.80 


2.66 


17.79 


2.74 


18 


19 


18.82 


2.64 


18.80 


2.73 


18.79 


2.81 


18.78 


2.89 


19 


20 


19.81 


2.78 


19.79 


2.87 


19.78 


2.96 


19.77 


3.04 


20 


21 


20.80 


2.92 


20.78 


3.01 


20 . 77 


3.10 


20.76 


3.19 


21 


22 


21.79 


3.06 


21.77 


3.16 


21.76 


3.25 


21.74 


3.35 


22 


23 


22.78 


3.20 


22.76 


3.. 30 


22.75 


3.40 


22.73 


3.50 


23 


24 


23.77 


3.34 


23.75 


3.44 


23.74 


3.55 


23.72 


3.65 


24 


25 


24.76 


3.48 


24.74 


3.59 


24.73 


3.70 


24.71 


3.80 


25 


26 


25.75 


3.62 


25.73 


3.73 


25.71 


3.84 


25.70 


3.96 


26 


27 


26.74 


3.76 


26.72 


3.87 


26.70 


3.99 


26.69 


4.11 


27 


28 


27.73 


3.90 


27.71 


4.02 


27.69 


4.14 


27.67 


4.26 


28 


29 


28.72 


4.04 


28.70 


4.16 


28.68 


4.29 


28.66 


4.41 


29 


30 
31 


29.71 
30 . 70 


4.18 


29.69 


4.30 


29.67 


4.43 


29.65 


4., 56 


30 


4.31 


30 . 68 


4.45 


30.66 


4.58 


30.64 


4.72 


31 


32 


31.69 


4.45 


31.67 


4.59 


31.65 


4.73 


31.63 


4.87 


32 


33 32.68 


4.59 


32.66 


4.74 


32.64 


4.88 


32 . 62 


5.02 


33 


34 


33.67 


4.73 


33.65 


4.88 


33.63 


5.03 


33.60 


5.17 


34 


35 


34.66 


4.87 


34.64 


5.02 


.34.62 


5.17 


34.. 59 


5.32 


35 


36 


35.65 


5.01 


.35.63 


5.17 


.35.60 


5.32 


35.. 58 


5.48 


36 


37 


36.64 


5.15 


36.62 


5.31 


36.59 


5.47 


•36.. 57 


5.63 


37 


38 


37.63 


5.29 


37.61 


5.45 


37.58 


5.62 


37.56 


5.78 


38 


39 


38.62 


5.43 


38.60 


5.60 


38 . 57 


5.76 


38.55 


5.93 


39 


40 


39.61 


5 . 57 


39.59 


5.74 


39.56 


5.91 


39 . 53 


6.08 


40 


-JT 


40.60 


5.71 


40.58 


5.88 


40.55 


6.06 


40.52 


6.24 


41 


42 


41.59 


5.85 


41.57 


6.03 


41.. 54 


6.21 


41.51 


6.39 


42 


43 


42.. 58 


5.98 


42.56 


6.17 


42.53 


6.36 


42.50 


6.54 


43 


44 


43.57 


6.12 


43.54 


6.31 


43.52 


6.50 


43.49 


6.69 


44 


45 


44.56 


6.26 


44.53 


6.46 


44.51 


6.65 


44.48 


6.85 


45 


46 


45.55 


6.40 


45.52 


6.60 


45.49 


6.80 


45.46 


7.00 


46 


47 


46.54 


6.54 


46.51 


6.74 


46.48 


6.95 


46.45 


7.15 


47 


48 


47., 53 


6.68 


47.50 


6.89 


47.47 


7.09 


47.44 


7.30 


48 


49 


48.52 


6.82 


48.49 


7.03 


48.46 


7.24 


48.43 


7.45 


49 


50 


49.51 


6.96 


49.48 


7.17 


49.45 


7.39 


49.42 


7.61 


50 


s 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


1 


82 1 


3eg. 


Oil 


Deg. 


01 2- 


Deg. 


8U 


Deg. 



TRAVERSE TABLE. 



19 



1 

~51 


8Deg. 


«i Deg. 


8^ Deg. 


B} Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.50 


7.10 


50.47 


7.32 


60.44 


7.54 


50.41 


7.76 


52 


51.49 


7.24 


51.46 


7.46 


51.43 


7.69 


51.39 


7.91 


62 


53 


.52.48 


7.38 


52.45 


7.61 


52.42 


7.83 


62.38 


8.06 


53 


54 


53.47 


7.52 


53.44 


7.75 


58.41 


7.98 


53.37 


8.21 


54 


55 


54.46 


7.65 


54.43 


7.89 


54.40 


8.13 


54.36 


8.37 


56 


56 


55.46 


7.79 


55.42 


8.04 


65.38 


8.28 


66.36 


8.52 


56 


57 


56.45 


7.93 


56.41 


8.18 


66.37 


8.43 


.66.34 


8.67 


67 


58 


57.44 


8.07 


57.40 


8.32 


57.36 


8.67 


67.32 


8.82 


68 


59 


58.43 


8.21 


58.. 39 


8.47 


68.35 


8.72 


58.31 


8.98 


59 


60 
61 


59.42 


8.35 


59.38 


8.61 


59.34 


8.87 1 


59.30 


9.13 


60 
61 


60.41 


8.49 


60.37 


8.75 


60.33 


9.02 1 


60.29 


9.28 


62 


61.40 


8.63 


61.36 


8.90 


61.32 


9.16 


61.28 


9.43 


62 


63 


62.39 


8.77 


62.35 


9.04 


62.31 


9.31 


62.27 


9.68 


63 


64 


63.38 


8.91 


63.34 


9.18 


63.30 


9.46 


63.26 


9.74 


64 


65 


64.37 


9.05 


64.33 


9.33 


64.29 


9.61 


64.24 


9.89 


65 


66 


65.36 


9.19 


65.32 


9.47 


65.28 


9.76 


65.23 


10.04 


66 


67 


66.35 


9.. 32 


66.31 


9.61 


66.26 


9.90 


66.22 


10.19 


67 


68 


67.34 


9.46 


67.30 


9.76 


67.25 


10.05 


67.21 


10.34 


68 


69 


68.33 


9.60 


68.29 


9.90 


68.24 


10.20 


68.20 


10.60 


69 


70 

71 


69.32 


9.74 


69.28 


10.04 


69.23 


10.35 


69.19 


10.65 


70 
71 


70.31 


9.88 


70.27 


10.19 


70.22 


10.49 


70.17 


10.80 


72 


71.30 


10.02 


71.25 


10.33 


71.21 


10.64 


71.16 


10.95 


72 


73 


72.29 


10.16 


72.24 


10.47 


72.20 


10.79 


72.15 


11.10 


73 


74 


73.28 


10.30 


73.23 


10.62 


73.19 


10.94 


73.14 


11.26 


74 


75 


74.27 


10.44 


74.22 


10.76 


74.18 


11.09 


74.13 


11.41 


75 


76 


75.26 


10.58 


75.21 


10.91 


75.17 


11.23 


75.12 


11.56 


76 


77 


76.25 


10.72 


76.20 


11.05 


76.15 


11.38 


76.10 


11.71 


77 


78 


77.24 


10.86 


77.19 


11.19 


77.14 


11.53 


77.09 


11.87 


78 


79 


78.23 


10.99 


78.18 


11.34 


78.13 


11.68 


73.08 


12.02 


79 


80 
81 


79.22 


11.13 


79.17 


11.48 


79.12 


11.82 


79.07 


12.17 


80 
81 


80.21 


11.27 


80.16 


11.62 


80.11 


11.97 


80.06 


12.32 


82 


81.20 


11.41 


81.15 


11.77 


81.10 


12.12 


81.05 


12.47 


82 


83 


82.19 


11.55 


82.14 


11.91 


82.09 


12.27 


82.03 


12.63 


83 


84 


83.18 


11.69 


83.13 


12.05 


83.08 


12.42 


83.02 


12.78 


84 


85 


84.17 


11.83 


84.12 


12.20 


84.07 


12.56 


84.01 


12.93 


85 


86 


85.16 


11.97 


85.11 


12.34 


85.06 


12.71 


85.00 


13.08 


86 


87 


86.15 


12.11 


86.10 


12.48 


86.04 


12.86 


85.99 


13.23 


87 


88 


87.14 


12.25 


87.09 


12.63 


87.03 


13.01 


86.98 


13.39 


88 


89 


88.13 


12.39 


88.08 


12.77 


88.02 


13.16 


87.96 


13.54 


89 


90 
31 


89.12 


12.53 


89.07 


12.91 


89.01 


13.30 


88.95 


13.69 


90 


90.11 


12.66 


90.06 


13.06 


90.00 


13.45 


89.94 


13.84 


91 


92 


91.10 


12.80 


91.05 


13.20 


90.99 


13.60 


90.93 


14.00 


92 


93 


92.09 


12.94 


92.04 


13.34 


91.98 


13.75 


91.92 


14.15 


93 


94 


93.09 


13.08 


93.03 


13.49 


92.97 


13.89 


92.91 


14.30 


94 


9ft 


94.08 


13.22 


94.02 


13.63 


93.96 


14.04 


93.89 


14.45 


95 


96 


95.07 


13.36 


95.01 


13.78 


94.96 


14.19 


94.88 


14.60 


96 


97 


96.06 


13.50 


96.00 


13.92 


95.93 


14.34 


95.87 


14.76 


97 


98 


97.05 


13.64 


96.99 


14.06 


96.92 


14.49 


96.86 


14.91 


98 


99 


98.04 


13.78 


97.98 


14.21 


97.91 


14.63 


97.85 


15.06 


99 


100 

1 


99.03 


13.92 


98.97 


14.35 


98.90 


14.78 


98.84 


15.21 


100 

.1 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


82 Deg. 


811 Deg. 


8HDeg. 


1 SliDeg. 



so 



TRAVERSE TABLE. 



?■ 


9Deg. 


H Deg. 


H Deg. 


91 Deg. 


5 


~l 


















s 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.99 


0.16 


0.99 


0.16 


0,99 


0,17 


0.99 


0,17 


1 


2 


1.98 


0.31 


1.97 


0.32 


1.97 


0.33 


1.97 


0,34 


2 


3 


2.96 


0.47 


2.96 


0.48 


2.96 


0.50 


2,96 


0.51 


3 


4 


3.95 


0.63 


3.95 


0.64 


3,95 


0.66 


3,94 


0,68 


4 


5 


4.94 


0.78 


4.93 


0.80 


4.93 


0.83 


4.93 


0,85 


5 


6 


5.93 


0.94 


5.92 


0.96 


5,92 


0.99 


5.91 


1,02 


6 


7 


6.91 


1.10 


6.91 


1,13 


6,90 


1,16 


6.90 


1.19 


7 


8 


7.90 


1.25 


7.90 


1.29 


7.89 


1.32 


7,88 


1,35 


8 


9 


8.89 


1.41 


8.88 


1.45 


8,88 


1,49 


8,87 


1.52 


9 


10 
11 


9. 88 


1.56 


9.87 


1,61 


9.86 


1.65 


9.86 


1,69 


10 


10.86 


1.72 


10.86 


1,77 


10,85 


1,82 


10,84 


1,86 


11 


12 


11.85 


1.88 


11.84 


1,93 


11.84 


1,98 


11.83 


2.03 


12 


13 


12.84 


2.03 


12.83 


2.09 


12.82 


2.15 


12.81 


2,20 


13 


14 


13.83 


2.19 


13.82 


2,25 


13.81 


2.31 


13,80 


2„37 


14 


15 


14.82 


2.35 


14.80 


2,41 


14.79 


2.48 


14,78 


2.54 


15 


16 


15.80 


2.50 


15.79 


2,57 


15,78 


2,64 


15,77 


2,71 


16 


17 


16.79 


2.66 


16.78 


2,73 


16,77 


2,81 


16,75 


2,88 


17 


18 


17.78 


2.82 


17,77 


2,89 


17.75 


2,97 


17,74 


3.05 


18 


19 


18.77 


2.97 


18.75 


3,05 


18.74 


3,14 


18,73 


3.22 


19 


20 


19.75 


3.13 


19.74 


3.21 


19.73 
20,71 


3,30 


19,71 


3,39 


20 


21 


20.74 


3.29 


20.73 


3.38 


3.47 


20,70 


3.. 56 


21 


22 


21.73 


3.44 


21.71 


3.54 


21,70 


3,63 


21.68 


3.73 


22 


23 


22.72 


3.60 


22.70 


3,70 


22.68 


3.80 


22.67 


3,90 


23 


24 


23.70 


3.75 


23.69 


3.86 


23.67 


3.96 


23.65 


4.06 


24 


25 


24.69 


3.91 


24.67 


4.02 


24.66 


4.13 


24.64 


4.23 


25 


26 


25.68 


4.07 


25.66 


4.18 


25.64 


4.29 


25.62 


4.40 


26 


27 


26.67 


4.22 


26.65 


4.34 


26,63 


4,46 


26.61 


4.. 57 


27 


28 


27.66 


4.38 


27.64 


4.50 


27.62 


4,62 


27,60 


4.74 


28 


29 


2S.64 


4.54 


28.62 


4.66 


28.60 


4.79 


28.58 


4.91 


29 


30 
31 


29.63 


4.69 


29.61 


4.82 


29.59 


4.95 


29.57 


5.08 


30 


30.62 


4.85 


.30.60 


4.98 


30.57 


5.12 


30.55 


5.25 


31 


32 


31.61 


5.01 


31.58 


5.14 


31.. 56 


5.28 


31.54 


5.42 


32 


33 


32.59 


5.16 


32.57 


5.30 


32.. 55 


5.45 


32,52 


5.59 


33 


34 


33.58 


5.32 


33.. 56 


5.47 


33.53 


5.61 


33.61 


5.76 


34 


35 


34.57 


5.48 


34.54 


5.63 


34.52 


5.78 


34.49 


5.93 


35 


36 


35.56 


5.63 


35.53 


5.79 


35.51 


5.94 


35.48 


6.10 


36 


37 


36.54 


5.79 


36.52 


5.05 


36,49 


6.11 


36.47 


6.27 


37 


38 


37.53 


5.94 


37.51 


6.11 


37.48 


6.27 


37.45 


6.44 


38 


39 


38 . 52 


6.10 


38.49 


6.27 


38.47 


6.44 


38.44 


6.60 


39 


40 
41 


39.51 


6.26 


39.48 
40.47 


6.43 


.39.45 


6.60 


39.42 
40.41 


6.77 


40 


40.50 


6.41 


6.59 


40.44 


6.77 


6.94 


~4\ 


42 


41.48 


6., 57 


41.45 


6.75 


41.42 


6.92 


41.39 


7.11 


42 


43 


42.47 


6.73 


42.44 


6.91 


42.41 


7.10 


42.38 


7.28 


43 


44 


43.46 


6.88 


43.43 


7.07 


43.40 


7,26 


43.36 


7.45 


44 


45 


44.45 


7.04 


44.41 


7.23 


44.38 


7.43 


44.35 


7.62 


45 


46 


45.43 


7.20 


45.40 


7.39 


45,37 


7.59 


45.34 


7.79 


46 


47 


46.42 


7.35 


46.39 


7.55 


46,36 


7.76 


46.32 


7.96 


47 


48 


47.41 


7.51 


47.38 


7.72 


47,34 


7.92 


47.31 


8.13 


48 


49 


48.40 


7.67 


48,36 


7.88 


48.33 


8.09 


48.29 


8.30 


49 


50 

§■ 

c 

1 


49.38 


7.82 


49.35 


8.04 


49.32 


8.25 


49.28 


8.47 


.50 

i 
i 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


81 Deg. 


801 Deg, 


801 


Deg. 


80i Deg, 



THAVjBKSt: TABLK. 



21 



1 

i 

51 


SDcjr. 


H Deg. 


9XDeg. 


9J Deg. 


51 


Lat. 


Dep. 


Lat. 

50.. 34 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50.37 


7.98 


8.20 


50.30 


8.42 


50.26 


8.64 


52 


51.36 


8.13 


51.32 


8.36 


51.29 


8., 58 


51.25 


8.81 


52 


53 


52.35 


8.29 


52,31 


8.52 


52.27 


8.75 


52.23 


8.98 


53 


54 


53.34 


8.45 


.53.30 


8.68 


63.26 


8.91 


53.22 


9.14 


54 


55 


54.32 


8.60 


54.28 


8.84 


54.25 


9.08 


54.21 


9.31 


55 


56 


55.31 


8.76 


55.27 


9.00 


55.23 


9.24 


55.19 


9.48 


56 


57 


56.30 


8.92 


56.26 


9.16 


56.22 


9.41 


56.18 


9.65 


57 


58 


57.29 


9.07 


57.25 


9.32 


57.20 


9.57 


57.16 


9.82 


58 


59 


58.27 


9.23 


58.23 


9.48 


58.19 


9.74 


58.15 


9.99 


59 


60 


59.26 


9.39 
9.. 54 


59.22 


9.64 


59.18 


9.90 


59.13 


10.16 


60 
6] 


61 


60.25 


60.21 


9.81 


60.16 


10.07 


60.12 


10.33 


62 


61.24 


9.70 


61.19 


9.97 


61.15 


10.23 


61.10 


10.50 


62 


63 


62.22 


9.86 


62.18 


10.13 


62.14 


10.40 


62.09 


I0.f>7 


63 


64 


63.21 


10.01 


63.17 


10.29 


63.12 


10.56 


63.08 


10.84 


64 


65 


64.20 


10.17 


64.15 


10.45 


64.11 


10.73 


64.06 


11.01 


65 


66 


65.19 


10.32 


65.14 


10.61 


65.09 


10.89 


65.05 


11.18 


66 


67 


66.18 


10.48 


66.13 


10.77 


66.08 


11.06 


66.03 


11.35 


67 


68 


67.16 


10.64 


67.12 


10.93 


67.07 


11.22 


67.02 


11.52 


68 


69 


68.15 


10.79 


68.10 


11.09 


68.05 


11.39 


68.00 


11.69 


69 


70 
71 


69.14 


10.95 


69.09 


11.25 


69.04 


11.55 


68.99 


11.85 


70 

71 


70.13 


11.11 


70.08 


11.41 


70.03 


11.72 


69.97 


12.02 


72 


71.11 


11.26 


71.06 


11.57 


71.01 


11.88 


70.96 


12.19 


72 


73 


72.10 


11.42 


72.05 


11.73 


72.00 


12.05 


71.95 


12.36 


73 


74 


73.09 


11.58 


73.04 


11.89 


72,99 


12.21 


72.93 


12.53 


74 


75 


74.08 


11.73 


74.02 


12.06 


73.97 


12.. 38 


73.92 


12.70 


75 


76 


75.06 


11.89 


75.01 


12.22 


74.96 


12.54 


74.90 


12.87 


76 


77 


76.05 


12.05 


76.00 


12.38 


75.94 


12.71 


75.89 


13.04 


77 


78 


77.04 


12.20 


76.99 


12.. 54 


76.93 


12.87 


76.87 


13.21 


78 


79 


78.03 


12.36 


77.97 


12.70 


77.92 


13.04 


77.86 


13.38 


79 


80 


79.02 


12.51 


78.96 


12.86 


78.90 


13.20 


78.84 


13.55 


80 


81 


80.00 


12.67 


79.95 


13.02 


79.89 


13.37 


79.83 


13.72 


81 


82 


80.99 


12.83 


80.93 


13.18 


80.88 


13.53 


80.82 


13.89 


82 


83 


81.98 


12.98 


81.92 


13.34 


81.86 


13.70 


81.80 


14.06 


83 


84 


82.97 


13.14 


82.91 


13.50 


82.85 


13.86 


82.79 


14.23 


84 


85 


83:95 


13.30 


83.89 


13.66 


83.83 


14.03 


83.77 


14.39 


85 


86 


84.94 


13.45 


84.88 


13.82 


84.82 


14.19 


84.76 


14.. 56 


86 


87 


85.93 


13.61 


85.87 


13.98 


85.81 


14.36 


85.74 


14.73 


87 


88 


86.92 


13.77 


86.86 


14.15 


86.79 


14.. 52 


86.73 


14.90 


88 


89 


87.90. 


13.92 


87.84 


14.31 


87.78 


14.69 


87.71 


15.07 


89 


90 


88.89 


14.08 


88.83 


14.47 


88.77 


14.85 


88.70 


15.24 


90 

91 


91 


89.88 


14.24 


89.82 


14.63 


89.75 


15.02 


89.69 


15.41 


92 


90.87 


14.39 


90.80 


14.79 


90.74 


15.18 


90.67 


15.58 


92 


93 


91.86 


14.55 


91.79 


14.95 


91.72 


15.35 


91.66 


15.75 


93 


94 


92.84 


14.70 


92.78 


15.11 


92.71 


15.51 


92.64 


15.92 


94 


95 


93.83 


14.86 


93.76 


15.27 


93.70 


15.68 


93.63 


16.09 


95 


96 


94.82 


15.f)2 


94.75 


15.43 


94.68 


15.84 


94.61 


16.26 


96 


97 


95.81 


15.17 


95.74 


15.59 


95.67 


16.01 


95.60 


16.43 


97 


98 


96.79 


15.33 


96.73 


15.75 


96.66 


16.17 


96.58 


16.60 


98 


99 


97.78 


15.49 


97.71 


15.91 


97.64 


16.34 


97.57 


16.77 


99 


100 

.2 


98.77 


15.64 


98.70 
Dep. 


16.07 


98.63 


16.50 


98.56 


16.93 


100 

g 
1 
Q 


Dep. 


Lat. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


81 Deg. 


801 Deg. 


80^ Deg. 


804 Deg. 



22 



TRAVERSE TABLE. 



1 

i 


10 Deg. 


lOi Deg. 


JOA 


Deg. 


lOi Deg. 


i 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.98 


0.17 


0.98 


0.18 


0.98 


0.18 


0.98 


0.19 


2 


1.97 


0.35 


1.97 


0.30 


1.97 


0.36 


1.96 


0..37 


2 


8 


2.95 


0.,'>2 


2.95 


0.53 


2.95 


0.55 


2.95 


0..56 


3 


4 


3.94 


0.69 


3.94 


0.71 


3.93 


0.73 


3.93 


0,75 


4 


5 


4.92 


0.87 


4.92 


0.89 


4.92 


0,91 


4.91 


0,93 


5 


6 


5.91 


1.04 


5.90 


1.07 


5.90 


1.09 


5.89 


1 .12 


6 


7 


6.89 


1.22 


6.89 


1.25 


6.88 


1.28 


6.88 


1.31 




8 


7.88 


1.39 


7.87 


1.42 


7.87 


1.46 


7.86 


1.49 


8 


9 


8.86 


1.56 


8.86 


1.60 


8.85 


1.64 


8.84 


1.68 


9 


10 
11 


9.85 


1.74 


9.84 


1.78 


9.83 


1.82 


9.82 


1.87 


_10 
11 


10.83 


1.91 


10.82 


1.96 


10.82 


2.00 


10.81 


2.05 


12 


11.82 


2.08 


11.81 


2.14 


11.80 


2.19 


11.79 


2.24 


12 


13 


12.80 


2.26 


12.79 


2.31 


12.78 


2.37 


12.77 


2.42 


13 


14 


13.79 


2.43 


13.78 


2.49 


13.77 


2.55 


13.75 


2.61 


14 


15 


14.77 


2.60 


14.76 


2.67 


14.75 


2.73 


14.74 


2.80 


15 


16 


15.76 


2.78 


15.74 


2.85 


15.73 


2.92 


15.72 


2.98 


16 


17 


16.74 


2.95 


16.73 


3.03 


16.72 


3.10 


16.70 


3.J7 


17 


18 


17.73 


3.13 


lV.71 


3.20 


17.70 


3.28 


17.68 


3.36 


18 


19 


18.71 


3.30 


18.70 


3.38 


18.68 


3.46 


18.67 


3.54 


19 


20 
21 


19.70 


3.47 


19.68 


3.56 


19.67 


3.64 


19.65 


3.73 


20 
21 


20.68 


3.65 


20.66 


3.74 


20.65 


3.83 


20.63 


3.92 


22 


21.67 


3.82 


21.65 


3.91 


21.63 


4.01 


21,61 


4.10 


22 


23 


22.65 


3.99 


22.63 


4.09 


22.61 


4.19 


22.60 


4.29 


23 


24 


23.64 


4,17 


23.62 


4.27 


23.60 


4.37 


23.58 


4.48 


24 


25 


24.62 


4.34 


24.60 


4.45 


24.58 


4.56 


24.56 


4.66 


25 


26 


25.61 


4.51 


25.59 


4.63 


25.56 


4.74 


25.. 54 


4.85 


26 


27 


26.59 


4.69 


26.57 


4.80 


26.55 


4.92 


26.53 


5.04 


27 


28 


27.57 


4.86 


27.55 


4.98 


27.53 


5.10 


27.51 


5.22 


28 


29 


28.56 


5.04 


28.54 


5.16 


28.51 


5.28 


28.49 


5.41 


29 


30 
31 


29.54 


5.21 


29.52 


5.34 


29.50 


5.47 


29.47 


5.60 


30 
31 


30.53 


5.38 


30.51 


5.52 


30.48 


5.65 


30.46 


5.78 


32 


31.51 


5.56 


31.49 


5.69 


31.46 


5.83 


31.44 


5.97 


32 


33 


32.50 


5.73 


32.47 


5.87 


32.45 


6.01 


32.42 


6.16 


33 


34 


33.48 


5.90 


33.46 


6.05 


33.43 


6.20 


33.40 


6.34 


34 


35 


34.47 


6.08 


34.44 


6.23 


34.41 


6.38 


34.39 


6.53 


35 


36 


35.45 


6.25 


35.43 


6.41 


35.40 


6.56 


35.37 


6.71 


36 


37 


36.44 


6.42 


36.41 


6.58 


36.38 


6.74 


36.35 


6.90 


37 


38 


37.42 


6.60 


37.39 


6.76 


37.36 


6.92 


37.33 


7.09 


38 


39 


38.41 


6.77 


38.. 38 


6.94 


38.35 


7.11 


38.32 


7.27 


39 


40 
41 


39.39 


6.95 


39.36 


7.12 


39.33 


7.29 


39.30 


7.46 


40 
41 


40.38 


7.12 


40.35 


7.30 


40.31 


7.47 


40.28 


7.65 


42 


41.36 


7.29 


41.33 


7.47 


41.30 


7.65 


41.26 


7.83 


42 


43 


42.35 


7.47 


42.31 


7.65 


42.28 


7.84 


42.25 


8.02 


43 


44 


43.33 


7.64 


43.30 


7.83 


43.26 


8.02 


43.23 


8.21 


44 


45 


44.32 


7.81 


44.28 


8.01 


44.25 


8.20 


44,21 


8,39 


45 


46 


45.30 


7.99 


45.27 


8.19 


45.23 


8.38 


45.19 


8.58 


46 


47 


46.29 


8.16 


46.25 


8.36 


46.21 


8.57 


46.18 


8.77 


47 


48 


47.27 


8.34 


47.23 


8., 54 


47.20 


8.75 


47.16 


8.95 


48 


49 


48.26 


8.51 


48.22 


8.72 


48.18 


8.93 


48.14 


9.14 


49 


_50 


49.24 


8.68 


49.20 


8.90 
Lat. 


49.16 


9.11 


49.12 


9.33 


-¥ 


Dep. 


Lat. 


Dep. 


Dep. 


Lat. 


Dep. 


Lat. 
Deg. 


80 1 


Oeg. 


791 


Deg. 


79i 


Deg. 



TKAVKKSE TAJiLK. 



2 
1" 

a 
"5T 


10 Deg. 


lOi Deg. 


lOi Deg. 


lOJ Deg. 


2 

i" 

"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


L^t. 


Dep. 


50.23 


8.86 


50.19 


9.08 


50.15 


9.29 


.50.10 


9.51 


5'Z 


51.21 


9.03 


51.17 


9.25 


51.13 


9.48 


51.09 


9.70 


52 


53 


52, 19 


9.20 


.52.15 


9.43 


.52.11 


9.66 


52.07 


9.S9 


53 


54 


53.18 


9.38 


53.14 


9.61 


53.10 


9.84 


.53.05 


10.07 


54 


55 


54. 16 


9.55 


54.12 


9.79 


54.08 


10.02 


.04.03 


10.26 


55 


56 


55.15 


9.72 1 


55.11 


9.96 


55.06 


10.21 


55.02 


10.45 


56 


57 


56.13 


9.90 


56.09 


10.14 


56.05 


10.39 


56.00 


10.63 


57 


58 


57.12 


10.07 


57.07 


10.32 


.57.03 


10.. 57 


.56.98 


10. S2 


58 


59 


58.10 


10.25 


58.06 


10.50 


58.01 


10.75 


57.96 


11.00 


59 


60 
61 


59.09 


10.42 


59.04 


10.68 


59.00 


10.93 
11.12 


58.95 


11.19 


60 
61 


60.07 


10.59 


60.03 


10.85 


59 . 98 


59 . 93 


11.38 


62 


61.06 


10.77 


61.01 


11.03 


60.96 


11.30 


60.91 


11.56 


62 


63 


62.04 


10.94 


61.99 


11.21 


61.95 


11.48 


61.89 


11.75 


63 


64 


63.03 


11.11 


62.98 


11.39 


62 . 93 


11.66 


62.88 


11.94 


64 


65 


64.01 


11.29 


63.96 


11.57 


63.91 


11.85 


63.86 


12.12 


65 


66 


65.00 


11.46 


64.95 


11.74 


64.89 


12.03 


64.84 


12.31 


66 


67 


65.98 


11.63 


65.93 


11.92 


65.88 


12.21 


65.82 


12.50 


67 


68 


66.97 


11.81 


66.91 


12.10 


66.86 


12.39 


66.81 


12.68 


68 


69 


6T.95 


11.98 


67.90 


12.28 


67.84 


12.57 


67.79 


12.87 


69 


70 
71 


68.94 


12.16 


68.88 


12.46 


68.83 


12.76 


68.77 


13.06 


70 
7] 


69.92 


12.33 


69.87 12.63 1 


69.81 


12.94 


69.75 


13.24 


72 


70.91 


12.50 


70.85 


12.81 


70.79 


13.12 


70.74 


13.43 


72 


73 


71.89 


12.68 


71.83 


12.99 


71.78 


13.30 


71 . 72 


13.62 


73 


74 


72.88 


12.85 


72.82 


13.17 


72 . 76 


13.49 


72.70 


13.80 


74 


75 


73.86 


13.02 


73.80 


13.35 


73.74 


13.67 


73.68 


13.99 


75 


76 


74.85 


13.20 


74.79 


13.52 


74.73 


13.85 


74.67 


14.18 


76 


77 


75.83 


13.37 


75.77 


13.70 


75.71 


14.03 


75.65 


14.36 


77 


78 


76.82 


13.54 


76.76 


13.88 


76.69 


14.21 


76.63 


14.55 


78 


79 


77.80 


13.72 


77.74 


14.06 


77.68 


14.40 


77.61 


14.74 


79 


80 
81 


78.78 


13.89 


78.72 


14.24 


78.66 


14.58 


78.60 


14.92 


SO 
81 


79.77 


14.07 


79.71 


14.41 


79.64 


14.76 


79.58 


15.11 


82 


80.75 


14.24 


80.69 


14.59 


80.63 


14.94 


80,56 


15.29 


82 


83 


81.74 


14.41 


81.68 


14.77 


81.61 


15.13 


81.54 


15.48 


83 


84 


82.72 


14.59 


82.66 


14.95 


82.59 


15.31 


82.53 


15.67 


84 


85 


83.71 


14.76 


83.64 


15.13 


83.58 


15.49 


83.51 


15.85 


85 


86 


84.69 


14.93 


84.63 


15.30 


84.56 


15.67 


84.49 


16.04 


86 


87 


85.68 


15.11 


85.61 


15.48 


85.54 


15.85 


85.47 


16.23 


87 


88 


86.66 


15.28 


86.60 


15.66 


86., 53 


16.04 


86.46 


16,41 


88 


89 


87.65 


15.45 


87.58 


15.84 


87.51 


16.22 


87.44 


16.60 


89 


90 
91 


88.63 


15.63 


88.56 


16.01 


88.49 


16.40 


88.42 


16.79 


90 
91 


89.62 


15.80 


89.55 


16.19 


89.48 


16.58 


89.40 


16.97 


92 


90.60 


15.98 


90.53 


16.37 


90.46 


16.77 


90.39 


17.16 


92 


93 


91.59 


16.15 


91.52 


16.55 


91.44 


16.95 


91.37 


17.35 


93 


94 


92.57 


16.32 


92.50 


16.73 


92.43 


17.13 


92.35 


17.53 


94 


95 


93.56 


16.50 


93.48 


16.90 


93.41 


17.31 


93.33 


17.72 


95 


96 


94.54 


16.67 


94.47 


17.08 


94.39 


17.49 


94.32 


17.91 


96 


97 


95.53 


16.84 


95.45 


17.26 


95.38 


17.68 


95.30 


18.09 


97 


98 


96.51 


17.02 


96.44 


17.44 


96.36 


17.86 


96.28 


18.28 


98 


99 


97.50 


17.19 


97.42 


17.62 


97.34 


18.04 


97.26 


18.47 


99 


100 

1 
.2 


98.48 


17.36 


98.40 1 17.79 


98.33 


18.22 


98.25 


18.65 


100 

1 

.2 

Q 


Dep. 


Lat. 


Dep. 


JL.. 


Dep. 


Lat. 


Dep. 


Lat. 


80 Deg. 


791 Deg. 


79i Deg. 


79i Deg. 



24 



TRAVERSE TABLE. 



2 


11 Deg. 


Hi Deg. 


IHDeg. 


llj Deg. 


1 

3 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




1 


0.98 


0.19 


~0".'98' 


0.20 


0.98 


0.20 


0.98 


0.20 


1 




2 


1.96 


0..38 


1.96 


0.39 


1.96 


0.40 


1.96 


0.41 


2 




3 


2.94 


0.57 


2.94 


0.59 


2.94 


0.60 


2.94 


0.61 


3 




4 


3.93 


0.76 


3,92 


0.78 


3.92 


0.80 


3.92 


0.82 


4 




5 4.91 1 


0.95 


4.90 


0.98 


4.90 


1.00 


4.90 


1.02 


5 




6 


5.89 


1.14 


5.88 


1.17 


5.88 


1.20 


5.87 


1.22 


6 




7 


6.87 


1.34 


6.87 


1.37 


6.86 


1.40 


6.85 


1.43 


7 




8 


7.85 


1.53 


7.85 


1.56 


7.84 


1.59 


7.83 


1.63 


8 




9 8.83 


1.72 


8.83 


1.76 


8.82 


1.79 


8.81 


1.83 


9 




10 I 9.82 


1.91 


9.8) 
10.79' 


1.95 


9.80 


1.99 


9.79 
10.77 


2.04 
2.24 


10 




11 1 10.80 


2.10 


2.15 


10.78 


2.19 ! 


11 




12 


11.78 


2.29 


11.77 


2.34 


11.76 


2.39 


11.75 


2.44 


12 




13 


12.76 


2.48 


12.75 


2.54 


12.74 


2.. 59 


12.73 


2.65 


13 




14 


13.74 


2.67 


13.73 


2.73 


13.72 


2.79 


13.71 


2.85 


14 




15 


14.72 


2.86 


14.71 


2.93 


14.70 


2.99 


14.69 


3.06 


15 




16 


15.71 


3.05 


15.69 


3.12 


15.68 


3.19 


15.66 


3.26 


16 




17 


16.69 


3.24 


16.67 


3.32 


16.66 


3.39 


16.64 


3.46 


17 




18 


17.67 


3.43 


17.65 


3.51 


17.64 


3.. 59 


17.62 


3.66 


18 




19 


18.65 


3.63 


18.63 


3.71 


18.62 


3.79 


18.60 


3.87 


19 




20 


19.63 


3.82 


19.62 


3.90 


19.60 


3.99 


19.. 58 


4.07 


20 




21 


20.61 


4.01 


20.60 


4.10 


20.. 58 


4.19 


20.. 56 


4.28 


21 




22 


21.60 


4.20 


21. .58 


4.29 


21. .56 


4.39 


21.54 


4.48 


22 




23 22.58 


4.. 39 


22.. 56 


4.49 


22.. 54 


4.59 


22.52 


4.68 


23 




24 


23 . 56 


4.. 58 


23.. 54 


4.68 


23.52 


4.78 


23.. 50 


4.89 


24 




25 


24.54 


4.77 


24.52 


4.88 


24.50 


4.98 


24.48 


5,09 


25 




26 


25.52 


4.96 


25.50 


5.07 


25.48 


5.18 


25.46 


5.30 


26 




27 


20.50 


5.15 


26.48 


5.27 


26.46 


5.38 


26.43 


5.. 50 


27 




28 


27.49 


5.34 


27.46 


5.46 


27.44 


5.58 


27.41 


5.70 


28 




29 


28.47 


5.53 


28.44 


5.66 


28.42 


5.78 


28.39 


5.91 


29 




30 j 29.45 


5.72 


29.42 


5.85 


29.40 


5.98 


29.37 


6.11 
6.31 


30 




■ 31 


30.43 


5.92 


30.40 


6.05 


30.38 


6.18 


30.35 


31 




82 


31.41 


6.11 


31.39 


6.24 


31.36 


6.38 


31.33 


6.52 


32 




33 


.32.39 


6 30 


32.37 


6.44 


32.34 


6.58 


32.31 


6.72 


33 




34 


33.38 


6.49 


33 . 35 


6.63 


33.32 


6.78 


33.29 


6,92 


34 




35 


34.36 


6.68 


34.33 


6.83 


34.30 


6.93 


34.27 


7.13 


35 




36 


35.34 


6.87 


35.31 


7.02 


35.28 


7.18 


35.25 


7.33 


36 




37 


36.32 


7.06 


36.29 


7.22 


36.26 


7.38 


36.22 


7.53 


37 




38 


37.30 


7.25 


37.27 


7.41 


37.24 


7.58 


37.20 


7.74 


38 




39 


3'S.28 


7.44 


38.25 


7.61 


38.22 


7.78 


38.18 


7.94 


39 




40 


39.27 


7.63 


39.23 


7.80 


39.20 


7.97 


39.18 


8.15 


40 
41 




41 


140.25 


7.82 


40.21 


8.00 


40.18 


8.17 


40.14 


8.35 




42 


141.23 


8.01 


41.19 


8.19 


41.16 


8.37 


41.12 


8.55 


42 




43 


42.21 


8.20 


42.17 


8.39 


42 . 14 


8.57 


42.10 


8.76 


43 




44 


43.19 


8.40 


43.15 


8.58 


43.12 


8.77 


43.08 


8.96 


44 




45 


44.17 


8.59 


44.14 


8.78 


44.10 


8.97 


44.06 


9.16 


45 




46 


45.15 


8.78 


45.12 


8.97 


45.08 


9.17 


45.04 


9.37 


46 




47 


46.14 


8.97 


46.10 


9.17 


46.06 


9.37 


46.02 


9.57 


47 




48 


47.12 


9.16 


47.08 


9.36 


47.04 


9.57 


46.99 


9,78 


48 




49 


.48.10 


9.35 


48.06 


9.56 


48.02 


9.77 


47.97 


9.98 


49 




60 


49.08 
Dep. 


9.. 54 


49.04 


9.75_ 


49.00 


9.97 


48.95 


10.18 


50 




Lai. 


Dep. 


1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 




1 


















1 




















S 


79 Deg. 


m 


Deg. 


'^ 


Deg. 


78i 


Deg. 


Q 





TRAVKliSE TABLE. 



25 



~5T 


11 Deg. 


lU Deg. 


Hi Deg. 


Ill Deg. 


51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


TaT 


Dep. 


50.06 


9.73 


50.02 


9.95 


49.98 


10.17 


49.93 


10.39 


52 


51.04 


9.92 


51.00 


10.14 


60.96 


10.37 


50.91 


10.59 


52 


53 


52.03 


10.11 


51.98 


10.34 


51.94 


10.57 


51.89 


10.79 


53 


54 


53.01 


10.30 


52.96 


10.53 


52.92 


10.77 


52.87 


11.00 


64 


55 


53 . 99 


10.49 


53.94 


10.73 


63.90 


10.97 


53.85 


11.20 


55 


56 


54.97 


10.69 


54.92 


10.93 


64.88 


11.16 


54.83 


11.40 


56 


57 


55.95 


10.88 


55.90 


11.12 


55.86 


11.36 


.55.81 


11.61 


57 


53 


56 . 93 


11.07 


66.89 


11.32 


56.84 


11.56 


56.78 


11. 8i 


58 


59 


57.92 


11.26 


57.87 


11.51 


57.82 


11.76 


67.76 


12.01 


59 


GO 
6l" 


58.90 


11.45 


58.85 


11.71 


.58.80 


11.96 


.58.74 


12.22 


60 


59.88 


11.64 


59.83 


11.90 


59.78 


12.16 


69 . 72 


12.43 


61 


62 


60.86 


11.83 


60.81 


12.10 


60.76 


12.36 


60.70 


12.63 


62 


63 


61.84 


12.02 


61.79 


12.29 


61.74 


12.. 56 


61.68 


12.83 


63 


64 


62.82 


12.21 


62.77 


12.49 


62.72 


12.76 


62.66 


13.03 


64 


6o 


63.81 


12.40 


63 . 75 


12.68 


63 . 70 


12.96 


63.64 


13.24 


65 


60 


64.79 


12.59 


64.73 


12.88 


64.68 


13.16 


64.62 


13.44 


66 


67 


65.77 


12.78 


65.71 


13.07 


65.66 


13.36 


65.60 


13.64 


67 


68 


66.75 


12.98 


66.69 


13.27 


66.63 


13.56 


66.58 


13.85 


68 


69 


67.73 


13.17 


67.67 


13.46 


67.61 


13.76 


67.66 


14.05 


69 


70 

71 


68.71 


13.36 


68.66 


13.66 


^8.59 


13.96 


68.. 53 


14.25 


70 


69.70 


13.55 


69.64 


13.86 


69.57 


14.16 


69.51 


14.46 


71 


72 


70.68 


13.74 


70 . 62 


14.05 


70.66 


14.36 


70.49 


14.66 


72 


73 


71.66 


13.93 


71.60 


14.24 


71.63 


14.55 


71.47 


14.87 


73 


74 


72.64 


14.12 


72.58 


14.44 


72.51 


14.75 


72.46 


15.07 


74 


75 


73.62 14.31 


73.56 


14.63 


73.49 


14.95 


73.43 


15.27 


75 


76 


74.60 14.50 


74.54 


14.83 


74.47 


16.15 


74.41 


15.48 


76 


77 


75.59 14.69 


75.52 


15.02 


76.45 


15.35 


75.39 


15.68 


77 


78 


76.57 14.88 


76.50 


15.22 


76.43 


15.66 


76.37 


15.88 


78 


79 


77.. 55 1 15.07 


77.48 


15.41 


77.41 


15.76 


77.34 


16.09 


79 


80 
81 


78 . 53 
79.51 


15.26 


78.46 


15.61 


78.39 


15.96 


78.32 


16.29 


80 


15.16 


79.44 


15.80 


79.37 


16.15 


79.30 


16.49 


81 


82 


80.49 


15.65 


80.42 


16.00 


80.35 


16.35 


80.28 


16.70 


82 


83 


S1.A8 


15.84 


81.41 


16.19 


81.33 


16.65 


81.26 


16.90 


83 


84 


82.46 


16.03 


82.39 


16. ?9 


82.31 


16.75 


82.24 


17.11 


84 


85 


83.44 


]6.22 


83.37 


16.58 


83.29 


16.95 


83.22 


17.31 


85 


86 


84.42 


16.41 


84.35 


16.78 


84.27 


17.15 


84.20 


17.51 


86 


87 


85.40 


16.60 


85.33 


16.97 


85.26 


17.35 


85.18 


17.72 


87 


88 


86.33 


16.79 


86.31 


17.17 


86.23 


17.54 


86.16 


17.92 ! 881 


89 


87.36 


16.98 


87.29 


17.36 


87.21 


17.74 


87.14 


18.121 89| 


90 
91 


83.35 


17.17 


88.27 


17.56 


88.19 


17.94 


88.11 


18.33 


90 


89.33 


17.36 


89.25 


17.75 


89.17 


18.14 


89.09 


18.53 


91 


92 


90.31 


17.55 


90.23 


17.95 


90.15 


18.34 


90.07 


18.74 


92 


93 


91.29 


17.75 


91.21 


18.14 


91. -13 


18,54 


91.06 


18.94 


93 


94 


92.27 


17.94 


92.19 


18.34 


92.11 


18.74 


92.03 


19.14 


94 


95 


93.25 


18.13 


93.17 


18.63 


93.09 


18.94 


93.01 


19.35 


95 


96 


94.24 


18.32 


94.16 


18.73 


94.07 


19.14 


93.99 


19.55 


96 


97 


95.22 


18.51 


95.14 


18.92 


96.05 


19.34 


94.97 


19.76 


97 


98 


96.20 


18.70 


96.12 


19.12 


96.03 


19.54 


95.95 


19.96 


98 


99 


97.18 


18.89 


97.10 


19.31 


97.01 


19.74 


96.93 


20.16 


99 


100 

1 
Q 


98.16 


19.08 


98.08 


19.51 


97.99 


19.94 


97.90 


20.36 


100 


Dep. 


Lat. 


Dep. 


...,| 


Dep. 


Lat. 


Dep. 


Lat. 


J 
.2 
Q 


79 Deg. 


781 Deg. 


78^ Deg. 


78i Deg. 1 



TRAVERSE TABLE. 



o 


12 Deg. 


m Deg. 


121 


Deg. 


121 Deg. 


s 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


r 


0.98 


0.21 


0.98 


0.21 


0.98 


0.22 


0.98 


0.22 


1 


2 


1,96 


0.42 


1.95 


0.42 


1.95 


0.43 


1.95 


0.44 


3 


3 


2.93 


0.62 


2.93 


0.64 


2.93 


0.65 


2.93 


0.66 


3 


4 


3.91 


0.83 


3.91 


0.85 


3.91 


0.87 


3.90 


0.88 


4 


5 


4.89 


1.04 


4.89 


1.06 


4.88 


1.08 


4.88 


1.10 


5 


6 


5.87 


1.25 


5.86 


1.27 


5.86 


1.30 


5.83 


J. 32 


6 


7 


6.85 


1.46 


6.84 


1.49 


6.83 


1.52 


6.83 


1.54 


7 


8 


7.83 


1,66 


7.82 


1.70 


7.81 


1.73 


7.80 


1.77 


8 


9 


8,80 


1,87 


8.80 


1.91 


8.79 


1.95 


8.78 


1.99 


9 


10 
11 


9.78 


2,08 


9.77 


2.12 


9.76 


2.16 


9.75 


2.21 


10 


10.76 


2.29 


10.75 


2.33 


10.74 


2.38 


10.73 


2.43 


11 


12 


11,74 


2.49 


11.73 


2.55 


11.72 


2.60 


11.70 


2.65 


12 


13 


12.72 


2.70 


12.70 


2.76 


12.69 


2.81 


12.68 


2.87 


13 


14 


13.69 


2.91 


13.68 


2.97 


13.67 


3.03 


13.65 


3.09 


14 


15 


14.67 


3.12 


14.66 


3.18 


14.64 


3.25 


14.63 


3.31 


15 


16 


15.65 


3.33 


15.64 


3.39 


15.62 


3.46 


15.61 


3.53 


16 


17 


16.63 


3.. 53 


16.61 


3.61 


16,60 


3.68 


16.58 


3.75 


17 


18 


17.61 


3.74 


17.59 


3.82 


17.. 57 


3.90 


17. C6 


3.97 


18 


19 


18.. 58 


3.95 


18.57 


4.03 


18.55 


4.11 


18.53 


4.19 


19 


20 
21 


19.56 


4.16 


19.54 


4.24 


19.53 


4.33 


19.51 


4.41 


20 


20.54 


4.37 


20.52 


4.46 


20.50 


4.55 


20.48 


4.63 


21 


22 


21.52 


4.57 


21.50 


4.67 


21.48 


4.76 


21.46 


4.86 


22 


23 


22.50 


4.78 


22.48 


4.88 


22.45 


4.98 


22.43 


5.08 


23 


24 


23.48 


4.99 


23.45 


5.09 


23.43 


5.19 


23.41 


5.30 


24 


25 


24.45 


5.20 


24.43 


5.30 


24.41 


5.41 


24.38 


5.52 


25 


26 


25.43 


5.41 


25.41 


5.52 


25.33 


5.63 


25.36 


5.74 


26 


27 


26.41 


5.61 


26.39 


5.73 


26.36 


5,84 


26.33 


5.96 


27 ^ 


28 


27.39 


5.82 


27.36 


5.94 


27.34 


6,06 


27.31 


6.18 


28 


29 


28.37 


6.03 


28.34 


6.15 


28.31 


6,28 


28.28 


6.40 


29 


30 


29.34 


6.24 


29 . 32 
30.29 


6.37 


29.29 


6.49 


29.26 


6.62 


30 


31 


30.32 


6.45 


6.58 


30.27 


6.71 


30.24 


6.84 


31 


32 


31.30 


6.65 


31.27 


6.79 


31.24 


6.93 


31.21 


7.06 


32 


33 


32.28 


6.88 


.32.25 


7.00 


32.22 


7.14 


32.19 


7.28 


33 


34 


.33.23 


7.07 


33.23 


7.21 


.33.19 


7.-36 


33.16 


7.50 


34 


35 


34.24 


7.28 


34.20 


7.43 


34.17 


7.58 


.34.14 


7.72 


35 


36 


35.21 


7.48 


35.18 


7.64 


35.15 


7.79 


35.11 


7.95 


36 


-37 


33.19 


7.69 


36.16 


7.85 


36.12 


8.01 


36.09 


8.17 


37 


38 


37.17 


7.90 


37.13 


8.06 


37.10 


8.22 


37.06 


8.39 


38 


39 


38.15 


8.11 


38.11 


8.27 


38.08 


8.44 


38.04 


8.61 


39 


40 
41 


39.13 


8.32 


39.09 


8.49 


39.05 


8.66 


39.01 


8.83 


40 


40.10 


8.. 52 


40.07 


8.70 


40.03 


8.87 


39.99 


9.05 


41 


42 


41.08 


8.73 


41.04 


8.91 


41.00 


9.09 


40,96 


9.27 


43 


43 


42.06 


8.94 


49.02 


9.12 


41.98 


9.31 


41,94 


9,49 


43 


44 


43.04 


9.15 


43.00 


9.34 


42.96 


9., 52 


42,92 


9,71 


44 


45 


44.02 


9.36 


43.98 


9.55 


43.93 


9.74 


43,89 


9,93 


4.^ 


46 


44.99 


9.56 


44.95 


9.76 


44.91 


9.96 


44,87 


10,15 


46 


47 


45.97 


9.77 


45.93 


9.97 


45.89 


10.17 


45,84 


10,37 


47 


48 


46.95 


9.98 


46.91 


10.18 


46.86 


10.39 


46,82 


10.. 59 


48 


49 


47.93 


10.19 


47.88 


10. -10 


47.84 


10.61 


47.79 


10.81 


49 


_50 

s 

a 

S 


48.91 


10.40 


48.86 


10.61 


48.81 


10.82 


48.77 


1 1 . 03 


50 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


78 1 


3eg. 


" 1 
771 Deg. 


77i 


Deg. 


77i Deg. 



Tfi AVERSE TABLE. 



27 





12 Deg. 


m Deg. 


ISi Deg. 


12| Deg. 


5 

1 
IT 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 

'11.26" 




49.89 


10.00 


49.84 


10,82 


49.79 


11.04 


49.74 




52 


50.86 


10.81 


50.82 


11.03 


50.77 


11.25 


50.72 


11.48 


52 




53 


51.84 


11.02 


51.79 


U.25 


51.74 


11.47 


51.69 


11.70 


53 




54 


52.82 


11.23 


52.77 


11.46 


52.72 


11.69 


52.67 


11.92 


54 




55 


53.80 


11.44 


.53.75 


11.67 


53.70 


11.90 


.53.64 


12.14 


55 




56 


54.78 


11.64 


54.72 


11.88 


54.67 


12.12 


54.62 


12.36 


56 




57 


55.75 


11.85 


55 . 70 


12.09 


55.65 


12.. 34 


55 . 59 


12.. 58 


67 




58 


56.73 


12.06 


56 . 68 


12.31 


56.63 


12.55 


56.57 


12.80 


58 




59 


57.71 


12.27 


57.66 


12.52 


57.60 


12.77 


57.55 


13.02 1 59 




60 
61 


.58 . 69 


12.47 


58 . 63 


12.73 
12.94 


58.58 


12.99 
13.20 


.58.52 


13.24 
13.46 


60 
61 




59.67 


12.68 


59.61 


1 59.55 


59.50 




62 


60,65 


12.89 


60.59 


13.16 


60.53 13.42 


60.47 


13.08 


62 




63 


61.62 


13.10 


61.57 


13.37 


61.51 


13.64 


61.45 


13.90 


63 




64 


62.60 


13.31 


62.54 


13.58 


62.48 


13.85 


62.42 


14.12 


64 




65 


63.58 


13.51 


63.52 


13.79 


1 63.46 


14.07 


63.40 


14.35 


65 




66 


64.56 


13.72 


64.50 


14.00 


64.44 


14.29 


64.37 


14.57 


66 




67 


65.54 


13.93 


65.47 


14.22 


65.il 


14.50 


65.35 


14.79 


67 




68 


66.51 


14.14 


66.45 


14.43 


66.39 


14.72 


66.32 


15.01 


68 




69 


67.49 


14.35 


67.43 


14.64 


67.36 


14.93 


67.30 


15.23 


69 




70 
71 


68.47 


14.55 


68.41 


14.85 


fi8.34 


15.15 


68.27 


15.45 


70 




69.45 


14.76 


69.. 38 


15.06 


69 . 32 


15.37 


69.25 


15.67 


71 




72 


70.43 


14.97 


70.36 


15.28 


70.29 


15.58 


70.22 


15.89 


72 




73 


71.40 


15.18 


71.34 


15.49 


71.27 


15.80 


71.20 


16.11 


73 




74 


72.38 


15.39 


72.32 


15.70 


72.25 


16.02 


72.18 


16.33 


74 




75 


73.36 


15.59 


73.29 


15.91 


73.22 


16.23 


73.15 


16.55 


75 




76 


74.34 


15.80 


74.27 


16.13 


74.20 


16.45 


74.13 


16.77 


76 




77 


75.32 


16.01 


75.25 


16.34 


75.17 


16.67 


75.10 


16.99 


77 




78 


76.30 


16.22 


76.22 


16.55 


76.15 


16.88 


76.08 


17.21 


78 




79 


77.27 


16.43 


77.20 


16.76 


77.13 


17.10 


77.05 


17.44 


79 




80 
81 


78.25 


16.63 


78.18 
79.16 


16.97 
17.19 


78.10 
79 . 08 


17.32 
17.. 53' 


78.03 


17.66 


80 
81 




79.23 


16.84 


79.00 


17.88 




82 


30.21 


17.05 


80.13 


17.40 


80.06 


17.75 


79.98 


18.10 


82 




83 


81.19 


17.26 


81.11 


17.61 


81.03 


l7.yb 


30.95 


•8.32 


83 




84 


82.16 


17.46 


82.09 


17.82 


82.01 


]8.iS 


81.93 


18.54 


84 




85 


83.14 


17.67 


83.06 


18.04 


82.99 


18.40 


82.90 


18.76 


85 




86 


84.12 


17.88 


84.04 


18.25 


83.96 


18.61 


83.88 


18.98 


86 




87 


85.10 


18.09 


85.02 


18.46 


84.94 


18.83 


84.85 


19.20 87 1 




88 


86.08 


18.30 


86.00 


18.67 


85.91 


19.05 


85 . 83 


19.42 


88 




89 


87.06 


18.50 


86.97 


18.88 


86.89 


19.26 


86.81 


19.64 


89 




90 
91 


88.03 


18.71 


87.95 
88.93 


19.10 


87.87 


19.48 


87.78 
88.76 


19.86 


90 




89.01 


18.92 


19.31 


88.84 


19.70 


20.08 


9\ 




92 


89.99 


19.13 


89.91 


19.52 


89.82 


19.91 


89.73 


20.30 


92 




93 


90.97 


19.34 


90.88 


19.73 


90.80 


20.13 


90.71 


20.52 


0.? 




94 


91.95 


19.54 


91.86 


19.94 


91.77 


20.35 


91.68 


20.75 


94 




95 


92.92 


19.75 


92.84 


20.16 


92.75 


20.56 


92.66 


20.97 


95 




96 


93.9a 


19.96 


93.81 


20.37 


93.72 


20.78 


93.63 


21.19 


96 




97 


94.88 


20.17 


94.79 


20.58 


94.70 


20.99 


94.61 


21.41 


97 




98 


95.86 


20.38 


95.77 


20.79 


95.68 


21.21 


95.58 


21.63 


98 




99 


96.84 


20.58 


96.75 


21.01 


96.65 


21. 4S 


96.56 


21.85 


99 




100 


97.81 


20.79 


97.72 


21.22 


97.63 


21.64 


97.53 
Dep. 


22.07 


100 

g 

B 

Q 




c 
.2 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Lat. 




78 Deg. 1 


m Deg 


77ADeg, 


77i Deg. 





M 



28 



TRAVEHSE TABLE. 



o 
1 


13 Deg. 


13^ Deg. 


131 Deg. 


131 Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.97 


0.23 


0.97 


0.23 


0.97 


0.23 


0.97 


0.24 


~T 


2 


1.95 


0.45 


1.95 


0.46 


1.95 


0.47 


1.94 


0.48 


2 


3 


2.92 


0.67 


2.92 


0.69 


2.92 


0.70 


2.91 


0.71 


3 


4 


3.90 


0.90 


3.89 


0.92 


3.89 


0.93 


3.89 


0.95 


4 


5 


4.87 


1.12 


4.87 


1.15 


4.86 


1.17 


4.86 


1.19 


5 


6 


5.85 


1.35 


5.84 


1.38 


5.83 


1.40 


5.83 


1.43 


6 


7 


6.82 


1.57 


0.81 


1.60 


6.81 


1.63 


6.80 


1.66 


7 


8 


7.80 


1.80 


7.79 


1.83 


7.78 


1.87 


7.77 


1.90 


8 


9 


8.77 


2.02 


8.76 


2.06 


8.75 


2.10 


8.74 


2.14 


9 


10 

11 


9.74 


2.25 


9.73 


2.29 
2.52 


9.72 


2.33 


9.71 


2.38 


10 
11 


10.72 


2.47 


10.71 


10.70 


2.57 


10.68 


2.61 


12 


11.69 


2.70 


11.68 


2.75 


11.67 


2.80 


11.66 


2.85 


12 


13 


12.67 


2.92 


12.65 


2.98 


12.64 


3.03 


12.63 


3.09 


13 


14 


13.64 


3.ia 


13.63 


3.21 


13.61 


3.27 


13.60 


3.33 


14 


15 


14.63 


3.37 


14.60 


3.44 


14.59 


3.50 


14.57 


3.57 


15 


16 


15.59 


3.60 


15.57 


3.67 


15.56 


3.74 


15.54 


3.80 


16 


17 


16.57 


3.82 


10.55 


3.90 


16.63 


3.97 


16.51 


4.04 


17 


18 


17.54 


4.05 


17.52 


4.13 


17.50 


4.20 


17.48 


4.28 


18 


19 


18.51 


4.27 


18.49 


4.35 


18.48 


4.44 


18.46 


4.52 


19 


20 


19. 4J 


4.50 


19.47 


4.58 


19.45 


4.67 


19.43 


4.75 
4.99 


20 
21 


21 


20.46 


4.72 


20.44 


4.81 


20.42 


4.90 


20.40 


22 


21.44 


4.95 


21.41 


5.04 


21.39 


5.14 


21.37 


5.23 


22 


23 


22.41 


5.17 


22.39 


5.27 


22.36 


5.37 


22.34 


5.47 


23 


24 


23.38 


5.40 


23.36 


5.50 


23.34 


5.60 


23.31 


5.70 


24 


25 


24.36 


5.62 


24.33 


5.73 


24.31 


5.84 


24.28 


5.94 


25 


26 


25.33 


5.85 


25.31 


5.96 


25.28 


6.07 


25.25 


6.18 


26 


27 


26.31 


6.07 


26.28 


6.19 


26.25 


6. SO 


26.23 


6.42 


27 


28 


27.28 


6.30 


27.25 


6.42 


27.23 


6.54 


27.20 


6.66 


28 


29 


28.26 


6.52 


28.23 


6.65 


28.20 


6.77 


28.17 


6.89 


29 


30 
31 


29.23 
30.21 


6.75 


29.20 


6.88 


29.17 


7.00 


29.14 


7.13 


30 
31 


6.97 


30.17 


7.11 


30.14 


7.24 


30.11 


7.37 


32 


31.18 


7.20 


31.15 


7.33 


31.12 


7.47 


31.08 


7.61 


32 


33 


32.15 


7.42 


32.12 


7.. 56 


32.09 


7.70 


32.05 


7.84 


33 


34 


33.13 


7.65 


33.09 


7.79 


33.06 


7.94 


33.03 


8.08 


34 


35 


34.10 


7.87 


34.07 


8.02 


34.03 


8.17 


34 00 


8.32 


35 


36 


35.08 


8.10 


35.04 


8.25 


35 . 01 


8.40 


34.97 


8.56 


36 


37 


36.05 


8.32 


36.02 


8.48 


35.98 


8.64 


35.94 


8.79 


37 


38 


37.03 


8.. 55 


36.99 


8.71 


36.95 


8.87 


36.91 


9.03 


38 


39 


38.00 


8.77 


37.96 


8.94 


37 .92 


9.10 


37.88 


9.27 


39 


40 
41 


38.97 


9.00 


38.94 


9.17 


38.89 


9.34 


38.85 


9.51 


40 
41 


39.95 


9.22 


39.91 


9.40 


:i9.87 


9.57 


.39.83 


9.75 


42 


40.92 


9.45 


40.88 


9.63 


40.84 


9.80 


40.80 


9.98 


42 


43 


41.90 


9 B7 


41.86 


9.86 


41.81 


10.04 


41.77 


10.22 


43 


44 


42.87 


9.90 


42.83 


19.08 


42.7^ 


10.27 


42.74 


10.46 


44 


45 


43.85 


10.12 


43.80 


10.31 


43.76 


10.51 


43.71 


10.70 


45 


46 


44.82 


10.35 


44.78 


10.54 


44.73 


10.74 


44.68 


10.93 


46 


47 


45.80 


10.57 


45.75 


10.77 


45.70 


10.97 


45.65 


11.17 


47 


48 


46.77 


10.80 


46.72 


11.00 


46.67 


11.21 


46.62 


11.41 


48 


49 


47.74 


11.02 


47,70 


11.23 


47.65 


11. 4i 


47.60 


11.65 


49 


60 


48.72 


11.25 


48.67 


11.46 


48.62 


11.67 


48.57 


11.88 


50 


1 


Dep. 


Lat. 


Dep. 


LaL 


Dep. 


Lat. 


Dep. 


Lat. 


1 


77 Deff. 


WIDeg. 


^H 


Deg. 


1H Deg. 



TKAVBBSE TABLE. 



29 



c 

1 
~5l 


13 Deg. 


13i Deg. 


13i Deg. 


131 Deg. 


i 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


Lat. 


Dep. 


49.69 


11.47 


49.64 


Tr.69' 


49.59 


11.91 


49.54 


12.12 


51 


52 


50.67 


11.70 


50.62 


11.92 


50.. -^e 


12,14 


50,51 


12.36 


52 


53 


51.64 


11.92 


51.59 


12.15 


51.54 


12,37 


51.48 


12.60 


53 


54 


52.62 


12.15 


52.56 


12.38 


52.51 


12.61 


52.45 


12.84 


54 


55 


53.59 


12.37 


53.54 


12.61 


53.48 


12.84 


53.42 


13,07 


55 


56 


54.56 


12.60 


54.51 


12.84 


54.45 


13.07 


54.40 


13.31 


56 


57 


55.54 


12.82 


55.48 


13.06 


5-5.43 


13.31 


55.37 


13.55 


57 


58 


56.51 


13.05 


56.46 


13.29 


.56.40 


13.54 


56 34 


13.79 


58 


59 


57.49 


13.27 


57.43 


13., 52 


57.37 


13.77 


57.31 


14.02 


59 


60 
61 


58.46 


13. .50 


58.40 


13.75 


58.. 34 


14.01 
14.24 


58.28 
59 . 25 


14.26 


60 


59.44 


13.72 


59.38 


13.98 


59.31 


14.. 50 


61 


62 


60.41 


13.95 


60.35 


14.21 


60.29 


14.47 


60.22 


14.74 


62 


63 


61.39 


14.17 


61.32 


14.44 


61.26 


14.71 


61.19 


14.97 


63 


64 


62.36 


14.40 


62.30 


14.67 


62.23 


14.94 


62.17 


15.21 


64 


65 


63.33 


14.62 


63.27 


14.90 


63.20 


15.17 


63.14 


15.45 


65 


66 


64. 3L 


14.85 


64.24 


15.13 


64.18 


15.41 


64.11 


15.69 


66 


67 


65.28 


15.07 


65.22 


15.36 


65.15 


15.64 


65.08 


15.93 


67 


68 


6fi.26 


15.30 


66.19 


15.59 


66.12 


15.87 


66.05 


16,16 


68 


69 


67.23 


15.52 


67.16 


15.81 


67.09 


16.11 


67.02 


16.40 


69 


70 

71 


68.21 


15.75 


68.14 


16.04 


68.07 


16.34 
16.57 


67.99 


16.64 


70 


69.18 


15.97 


69.11 


16.27 


69.04 


68,97 


16.88 


71 


72 


70.15 


16.20 


70.08 


16.. 50 


70.01 


16.81 


69.94 


17.11 


72 


73 


71.13 


16.42 


71.06 


16.73 


70,98 


17.04 


70.91 


17.35 


73 


74 


72.10 


16.65 


72.03 


16.96 


71.96 


17.28 


71.88 


i7..59 


74 


75 


73.08 


16.87 


73.00 


17.19 


72.93 


17.50 


72.85 


17.83 


75 


76 


74.05 


17.10 


73.98 


17.42 


73.90 


17.74 


73.82 


18.06 


76 


77 


75.03 


17.32 


74.95 


17.65 


74.87 


17.98 


74.79 


18.30 


77 


78 


76.00 


17.55 


75.92 


17.88 


75.84 


18.21 


75.76 


18.54 


78 


79 


70.98 


17.77 


76.90 


18.11 


76.82 


18.44 


76.74 


18.78 


79 


80 
81 


77.95 


18.00 


77.87 
78.84' 


18.34 


77.79 


18.68 


77.71 


19.01 


80 
81 


78.92 


18.22 


18.. 57 


78.76 


18.91 


78.68 


19.25 


82 


79.90 


18.45 


79.82 


18.79 


79 . 73 


19.14 


79 . 65 


19.49 


82 


83 


80.87 


18.67 


80.79 


19.02 


80.71 


19.38 


80.62 


19.73 


83 


84 


81.85 


18.90 


81.76 


19.25 


81.68 


19.61 


81.59 


19.97 


84 


85 


82.82 


19.12 


82.74 


19.48 


82.65 


19.84 


82.56 


20.20 


85 


86 


83.80 


19.35 


83.71 


19.71 


83 . 62 


20.08 


83.54 


20.44 


86 


87 


84.77 


19.57 


84.68 


19.94 


84.60 


20.31 


84.51 


20.68 


8.7 


88 


85.74 


19.80 


85.66 


20.17 


85.. 57 


20.54 


85.48 


20.92 


88 


89 


86.72 


20.02 


86.63 


20.40 


86.54 


20.78 


86.45 


21.15 


89 


90 
91 


87.69 
88.67 


20 . 25 


87.60 
88.58 


20.63' 
20.86; 


87.51 


21.01 


87.42 


21.39 


90 


20.47 


88.49 


21.24 


88.39 


21.63 


9f 


92 


89.64 


20.70 


89.55 


21.09 


89.46 


21,48 


89.36 


21.87 


92 


93 


90.62 


20.92 


90.52 


21.32 


90.43 


21.71 


90.33 


22.10 


93 


94 


91.59 


21.15 


91.50 


21.54 


91.40 


21.94 


91. 3i 


22.34 


94 


95 


92.57 


21.37 


92.47 


21.77 


92.. 38 


22.18 


92.28 


22.58 


95 


96 


93.54 


21.60 


93.44 


22.00 


93.35 


22.41 


93.25 


22.82 


96 


97 


94.51 


21.82 


94.42 


22.23 |! 94.32 


22.64 


94.22 


23.06 


97 


98 


95.49 


22,05 


95.39 


22.46 :! 95.29 


22.88 


95.19 


23.29 


98 


99 


96.46 


22.27 


96.36 


22.69: 


96.26 


23.11 


96.16 


23.53 


99 


100 

1 


97.44 


22.50 


97.34 


22.92 


97.24 


23.34 
Lat. 


97.13 


23.77 


100 

s 

c 
Q 


Dep. 


Lat. 


Dep. 


Lat. 1 


Dep. 


Dep, 


Lat. 


77 Deg, 


761 Deg. 


76A Deg. 


76i Deg. 



30 



TRAVERSE TABLE. 



o 

a 
? 

1 


14 Deg. 


14J Deg. 


14^ 


Deg. 


141 Deg. 


O ; 

1 


Lat. ; 
0.97 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.24 


0.97 


0.25 


0.97 


0.25 


0.97 


0.25 


2 


1.94 


0.48 


1.94 


0.49 


1.94 


0.50 


1.93 


0.51 


2 


3 


2.91 


0.73 


2.91 


0.74 


2.90 


0.75 


2.90 


a.76 


3 


4 


3.88 


0.97i 


3.88 


0.98 


3.87 


1.00 


3.87 


1.02 


4 ' 


5 


4.85 


1.21 


4.85 


1.23 


4.34 


1.25 


4.84 


1.27 


5 


6 


5.82 


1.45 


5.82 


1.48 


5.81 


1.50 


5.80 


1,53 


6 


7 


6.79 


1.69 


6 . 78 


1.72 


6.78 


1.75 


6.77 


1,78 


7 


8 


7.76 


1.94 


7.75 


1.97 


7.75 


2.00 


7.74 


2.04 


8 


9 


8.73 


2.18 


8,72 


2.22 


8.71 


2.25 


8.70 


2.29 


9 


10 
11 


9.70 ! 


2.42 


9.69 


2.46 


9.68 


2.50 


9.67 


2.55 


10 
11 


10.67 


^.66 


10.66 


2.71 


10.65 


2 . 75 


10.64 


2.80 


12 


11.04 


2.90 


11.63 


2.95 


11.62 


3.00 


11.60 


3.06 


12 


13 


12.61 


3.15 


12.60 


3.20 


12.59 


3.25 


12., 57 


3.31 


13 


14 


13.53 


3.39 


13.57 


3.45 1 


13.55 


3.51 


13.54 


3.56 


14 


15 


14.55 


3.63 


14.54 


3.69; 


14.52 


3.76 


14.51 


3.82 


15 


16 


15.52 


3.87 


15.51 


3.94' 


15.49 


4.01 


15.47 


4.07 


16 


17 


16.50 


4.11 


16.43 


4.18 


16.46 


4.26 


16.44 


4.33 


17 


18 


17.47 


4.35 


17.45 


4.43 ! 


17.43 


4.51 


17.41 


4.. 58 


18 


19 


18.44 


4.60 


18.42 


4.63 


18.39 


4.76 


13.37 


4.84 


19 


20 
21 


19.41 


4.84 


19.33 


4.92 


19.36 
20.33 


5.01 
6.26 


19.34 


5 . (t9 


20 
21 


20.38 


5. 08 


20.3.5 


5.17 


20.31 


5.35 


22 


21.35 


5 . 32 


21.32 


5.42 


21.30 


5.51 


21.28 


5 . 60 


22 


23 


22.32 


5.56 


22.29 


5.66 


22.27 


5.76 


22 . 24 


5.88 


23 


21 


23.99 


5.81 


23 . 28 


5.91 


23.24 


6.01 


23.21 


6.11 


24 


25 


24.26 


6.05 


24.23 


6.15 


24 . 20 


6.26 


24.18 


6.37 


25 


26 


25.23 


6.29 


25 . 20 


6.40 


25.17 


6.51 


25.14 


6.62 


23 


27 


26.20 


6.53 


26.17 


6.65 


26.14 


6.76 


26.11 


6.87 


27 


28 


27.17 


6.77 


27.14 


6.89 1 27.11 


7.01 


27.08 


7.13 


23 


29 


23.14 


7.02 


23.11 


7.14 


23.08 


7.26 


23.04 


7.38 


29 


30 


29.11 


7.23 


29.08 


7.38 


2.K04 


7.51 


29.01 


7.64 


30 


31 


30.08 


7.. 50 


30.05 


7.63 


30.01 


7.7J 


23.93 


7.89 


31 


32 


31.05 


7.74 


31.02 


7.88 


30.98 


8.01 


33.95 


8.15 


32 


33 


32.02 


7.93 


31.93 


8.12 


31.95 


8.26 


31.91 


8.40 


33 


34 


32.09 


8.23 


32.95 


8.37 


32.92 


8.51 


32.88 


8.66 


34 


35 


33.96 


8.47 


33.92 


8.62 


33.89 


8.76 


33.85 


8.91 


35 


36 


34.93 


8.71 


34.89 


8.86 


34.85 


9.01 


34.81 


9.17 


38 


37 


35.90 


8.95 


35.86 


9.11 


35.82 


9.26 


35.78 


9.42 


37 


33 


36.87 


9.19 


36.83 




36.79 


9.51 


38.75 


9.67 


38 


39 


37.84 


9.44 


37.80 


9160 


37.76 


9.76 


37.71 


9,93 


39 


40 
41 


38.81 


9.6S 


38 . 77 


9.85 


38.73 


10.02 


33.68 


10,18 
10.44 


40 
41 


39.78 


9.92 


39.74 


10.09 


39.6;.) 


10.27 


39.65 


42 


40.75 


10.16 


40.71 


10.34 


40.66 


10.52 


40.62 


10.69 


42 


43 


41.72 


10.40 


41.63 


10.58 


41.63 


10.77 


41.58 


10.95 


43 


44 


42.69 


10.64 


42.65 


10.83 


42.60 


11.02 


42.. 55 


11,20 


44 


45 


43.66 


10.89 


43.62 


11 . 03 


43.57 


11.27 


43.52 


11,46 


45 


46 


44.63 


11.13 


44.58 


11.32 


44.53 


11.52 


44.48 


11,71 


46 


47 


45.60 


11.37 


45.55 


11.57 


45.50 


11.77 


45.45 


11,97 


47 


48 


46.57 


11.61 


46.. 52 


11.82 


46.47 


12.02 


46.42 


12,22 


48 


49 


47.54 


11.85 


47.49 


12.06 


47.44 


12.27 


47.39 


12,48 


49 


_50 

1 
Q 


48.51 


12.19 


48.46 


12.31 


48.41 


12.. 52 


48.35 


12,73 


_50 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


Lat. 


76 


Deg. 


751 Deg. 


761 


Deg. 


75i Deg. 



TR*VEBSE TABLE. 



31 



i 

51 


14 Deg. 


14i Deg. 


14^ Deg. 


141 Deg. 


f 


Lat 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


49.49 


12.34 


49.43 


12.55 


49.38 


12.77 


49.32 


12.98 


51 


52 


50.46 


12.58 


50.40 


12.80 


50.34 


13.02 


50.29 


13.24 


52 


53 


51.43 


12.82 


51.37 


13.05 


51.31 


13.27 


51.25 


13.49 


53 


54 


52.40 


13.06 


52.34 


13.29 


52.28 


13.52 


52.22 


13.75 


54 


55 


53.37 


13.31 


53.31 


13.54 


53.25 


13.77 


53.19 


14.00 


55 


56 


54.34 


13.55 


54.28 


13.78 


54.22 


14.02 


54.15 


14.26 


56 


57 


55.31 


13.79 


55.25 


14.03 


55.18 


14.27 


.55.12 


14.51 


57 


58 


56.28 


14.03 


56.22 


14.28 


56.15 


14.52 


56.09 


14.77 


58 


59 


57.25 


14.27 


57.18 


14.52 


57.12 


14.77 


57.06 


15.02 


59 


60 
61 


58.22 


14.52 


58.15 


14.77 


.58.09 


15.02 


.58.02 
58.99 


15.28 
15.. 53 


60 
6] 


.59.19 


14.76 


59.12 


15.02 


59.06 


15.27 


62 


60.16 


15.00 


60.09 


15.26 


60.03 


15.52 


59 . 96 


15.79 


62 


63 


61.13 


15.24 


61.06 


15.51 


60.99 


15.77 


60.92 


16.04 


63 


64 


62.10 


15.48 


62.03 


15.75 


61.96 


16.02 


61.89 


16.29 


64 


65 


63.07 


15.72 


63.00 


16.00 


62.93 


16.27 


62.86 


16.. 55 


65 


66 


64.04 


15.97 


63.97 


16.25 


63.90 


16.53 


63.83 


16.80 


66 


67 


65.01 


16.21 


64.94 


16.49 


64.87 


16.78 


64.79 


17.06 


67 


68 


65.98 


16.45 


65.91 


16.74 


65.83 


17.03 


65.76 


17.31 


68 


C9 


66.95 


16.69 


66.88 


16.98 


66.80 


17.28 


66.73 


17.57 


69 


70 
71 


67.92 


16.93 


67.85 


17.23 


67.77 


17.53 
17.78 


67.69 


17.82 


70 


68.89 


17.18 


68.82 


17.48 


68.74 


68.66 


18.08 


71 


72 


69.86 


17.42 


69.78 


17.72 


69.71 


18.03 


69.63 


18.33 


72 


73 


70.83 


17.66 


70.75 


17.97 


70.67 


18.28 


70.. 59 


18.59 


73 


74 


71.80 


17.90 


71.72 


18.22 


71.64 


18.53 


71.56 


18.84 


74 


75 


72.77 


18.14 


72.69 


18.46 


72.61 


18.78 


72.53 


19.10 


75 


76 


73.74 


18.39 


73.66 


18.71 


73.58 


19.03 


73.50 


19.35 


76 


77 


74.71 


18.63 


74.63 


18.95 


74.55 


19.28 


74.46 


19.60 


77 


78 


75.68 


18.87 


75.60 


19.20 


75.52 


19.53 


75.43 


19.80 


78 


79 


76.65 


19.11 


76.57 


19.45 


76.48 


19.78 


76.40 


20.11 


79 


80 
81 


77.62 
78.. 59 


19.35 


77.54 


19.69 


77.45 


20.03 


77.36 


20.37 


80 


19.60 


78.51 


19.94 


78.42 


20.28 


78.33 


20.62 


81 


82 


79.56 


19.84 


79.48 


20.18 


79.39 


20.53 


79.30 


20.88 


82 


83 


80.53 


20.08 


80.45 


20.43 


80.36 


20.78 


80.26 


21.13 


83 


84 


81.50 


20.32 


81.42 


20.68 


81.32 


21.03 


81.23 


21.39 


84 


85 


82.48 


20.56 


82.38 


20.92 


82.29 


21.28 


82.20 


21.64 


85 


86 


83.45 


20.81 


83.35 


21.17 


83.26 


21.53 


83.17 


21.90 


86 


87 


84.42 


21.05 


84.32 


21.42 


84.23 


21.78 


84.13 


22.15 


87 


88 


85 . 39 


21.29 


85.i;9 


21.66 


85.20 


22.03 


85.10 


22.41 


88 


89 


86.36 


21.53 


86.26 


21.91 


86.17 


22 . 28 


86.07 


22.66 


89 


90 
91 


87.33 


21.77 


87.23 


22.15 


87.13 


22.53 


87.03 


22.91 


90 


88.30 


22.01 


88.20 


22.40 


88.10 


22.78 


88.00 


23.17 


91 


92 


89.27 


22.26 


89.17 


22.65 


89.07 


23.04 


88.97 


23.42 


92 


93 


90.24 


22.50 


90.14 


22.89 


90.04 


23 . 29 


89.94 


23.68 


93 


94 


91.21 


22.74 


91.11 


23.14 


91.01 


23.54 


90.90 


23.93 


94 


95 


92.18 


22.98 


92.08 


23.38 


91.97 


23.79 


91.87 


24.19 


95 


96 


93.15 


23.22 


93.05 


23.63 


92.94 


24.04 


92.84 


24.44 


96 


97 


94.12 


23.47 


94.02 


23.88 


93.91 


24.29 


93.80 


24.70 


97 


98 


95.09 


23.71 


94.98 


24.12 


94.88 


24.54 


94.77 


24.95 


98 


99 


96.06 


23 9t 


95.95 


24.37 


95.85 


24.79 


95.74 


25.21 


99 


JlOO 


97.03 


24.19 


96.92 


24.62 


96.81 


25.04 


96.70 


25.46 


100 


Dep. 


Lat. 


Dop. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


76 Deg. 


751 Deg. 


751 Deg. 


75i Deg. 



32 



TRAVERSE TABLE. 



1 


15 1 
Lat. 


Dep. 


15i Deg. 


15i 


Deg, 


151 Deg. 


f 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.97 


0.26 


0,96 


0.26 


0.96 


0.27 


0.96 


0.27 


r 


2 


1.93 


0.52 


1.93 


0..53 


1.93 


0,.53 


1.92 


0.54 


2 


3 


2.90 


0.78 


2.89 


0.79 


2.89 


0.80 


2.89 


0.81 


3 


4 


3.86 


1.04 


3.86 


1.05 


3.85 


1,07 


3.85 


1.09 


4 


5 


4.83 


1.29 


4.82 


1.32 


4.82 


1.34 1 


4.81 


1.36 


5 


6 


5.80 


1.55 


5.79 


1.58 


5.78 


1 , 60 i 


5,77 


1.63 


6 


7 


6.76 


1.81 


6.75 


1.84 


6.75 


1,87 


6.74 


1.90 


7 


8 


7.73 


2.07 


7.72 


2.10 


7,71 


2.14 


7.70 


2,17 


8 


9 


8.69 


2.33 


8.68 


2.37 


8,67 


2.41 


8.66 


2,44 


9 


10 


9.66 


2.59 


9.65 


2.63 


9.64 


2.67 


9.62 


2,71 


10 


11 


10.63 


2.85 


10.61 


2.89 


10.60 


2.94 


10.59 


" 2,99 


11 


12 


11.59 


3.11 


11.58 


3.16 


11.56 


3,21 


11.55 


3,26 


12 


13 


12.56 


3.36 


12.54 


3.42 


12.53 


3.47 


12.51 


3,53 


13 


14 


13.52 


3.62 


13.51 


3.68 


13.49 


3.74 


13.47 


3,80 


14 


15 


14.49 


3. 88 


14.47 


3.95 


14.45 


4.01 


14.44 


4.07 


15 


16 


15.45 


4.14 


15.44 


4.21 


15.42 


4.28 


J5.40 


4,34 


16 


17 


16.42 


4.40 


16.40 


4.47 


16.38 


4.. 54 


16.36 


4,61 


17 


IS 


17.39 


4.66 


17.37 


4.73 


17.35 


4.81 


17.32 


4,89 


18 


19 


18.35 


4.92 


18.33 


5.00 


18.31 


5.08 


18.29 


5.16 


19 


20 


19.32 


5.18 


19.30 
20 . 26 


5.26 


19.27 


5.34 


19.25 


5.43 


20 


21 


20 . 28 


5.44 


5.52 


20.24 


5.61 ! 20.21 


5.70 


21 


22 


21.25 


5.69 


21.23 


5.79 


21,20 


5.88J 21.17 


5,97 


22 


23 


22 . 22 


5.95 


22.19 


6.05 


22.16 


6.15 22.14 


6.24 


23 


24 


23.18 


6.21 


23.15 


6.31 


23.13 


6.41 !; 23. 10 


6.51 


24 


25 


24.15 


6.47 


24.12 


6.58 


24.09 


6.63 


24.06 


6.79 


25 


26 


25.11 


6.73 


25.08 


6.84 


25.05 


6.95 


25.02 


7.08 


26 


27 


26.03 


6.99 


23.05 


7.10 


26.92 


7.22 


25.99 


7.33 


27 


28 


27.05 


7.25 


27.01 


7.36 


26.93 


7.48 


28 . 95 


7.60 


28 


29 


23.01 


7.51 


27.98 


7.63 


27.95 


7.75 


27.91 


7.87 


29 


30 


28.98 


7.76 


28.91 


7 89 


23.91 

29.87 


8.02 
8.28 


23.87 


8.14 


30 


' 31 


29.94 


8.02 


29.91 


8.15 


29.84 


8.41 


31 


32 1 30.91 


8.28 


30.87 


8.42 


30.84 


8.55 


30.80 


8.69 


32 


33 31.88 


8.54 


31.84 


8.68 


31.80 


S.82 


31.76 


8.96 


33 


34 


32.84 


8.80 


32.80 


8.94 


.32.76 


9.09 


32 . 72 


9 . 23 


34 


35 


33 . 8 1 


9.03 


33.77 


9.21 


33.73 


9.35 


33.69 


9. 5 J 


35 


36 


.34.77 


9.32 


34.73 


9.47 


34.69 


9.32 


34.85 


9.77 


33 


37 


35.74 


9.. 58 


35 . 70 


9.73 


35.65 


9.89 


35.61 


10.01 


37 


38 


33.71 


9.84 


36.63 


10.00 


33.62 


10.16 


3 8.. 57 


10.31 


38 


39 


37.67 


10.09 


37.83 


10.28 


37.. 58 


10.42 


37.54 


10.. 59 


39 


40 


3S.64 


10.35 


38 . 59 


10.52 


33.55 


10.69 
10.98 


33.50 
3 ) . 46 


10.36 
11.13 


40 
" 41 


41 


39.60 


10.61 


39.56 


10.7.S 


39.51 


42 


40.57 


10.87 


40 . 52 


11.05 


40.47 


1 1 . 22 


41). 42 


11.40 


42 


43 


41.53 


11.13 


41.49 


11.31 


41.44 


11.49 


41.39 


11.67 


43 


44 


42.50 


i 11.39 


42.45 


1 11.57 


42.40 


11.76 


42.35 


11.94 


44 


45 


43.47 


i 11.65 


43.42 


I 11.84 


43.36 


12.03 


43.31 


12.21 


45 


46 


44.43 


1 11.91 


144.38 


1 12.10 


44.33 


12.29 


44.27 


12,49 


46 


47 


45.40 


1 12.16 


1 45 . 35 


! 12.36 


45.29 


12.56 


45.24 


12.78 


47 


48 ; 43 . 33 


1 12.42 


' 46.31 


! 12.63 


46.25 


12.83 


46.20 


13.03 


48 


49 


47.33 


1 12.68 


: 47.27 


i 12.89 


47.22 


13.09 


47.16 


13.30 


49 


50 


48.30 


! 12.94 


48.24 


; 13.15 


48.18 


13.36 


48.12 


13.57 


50 


.2 


Dep. 


Lat. 


l| Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Q 


75 


Deg, 


74 


Deg, 


74| 


Deg. 


m Deg, 



TRAVERSE TABLE. 



33 





o 

"51 


15 Deg. 


15i Deg. 


15i Deg. 


15} Deg. 


D 

1 

3 

9 
51 




Lat. 


Dep. 
13.20 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Der. 




49.26 


49.20 


13.41 


49.15 


13.631 


49.09 


13.84 




52 


50.23 


13.46 


50.17 


13.68 


.50.11 


13.90 


.50.05 


14.11 


52 




53 


51.19 


13.72 


51.13 


13.94 


51.07 


14.16 


51.01 


14.39 


53 




54 


52.16 


13.98 


.52.10 


14.20 


52.04 


14.43 


51.97 


14.66 


54 




»>5 


53.13 


14.24 


!53.06 


14.47 


53. oa 


14,70 


.52.94 


14.93 


55 




56 


54.09 1 


14.49 


.54.03 


14.73 


53.9!) 


14.97 


.53 . 90 


15.20 


56 




57 


55.0GI 


14.75 1 


54.99 


14.99 


,54.93 


15.23 


.54.86 


15.47 


57 




58 


56.02 


15.01 


55.96 


15.26 


55.89 


1 5.. 50 


,55.82 


15.74 


58 




59 


56.99 


15.27 


.56.92 


15.. 52 


56.85 


15.77 


56.78 


16.01 


59 




60 
61 


57 . 96 


15.. 53 


57.89 


15.78 


57.82 
.58,78 


16.03 
16.30 


57.75 


16.29 


60 
"61 




58.92' 


15.79 


.58.85 


16.04 1 


58.71 


16.56 




62 


.59.89 


16.05 


59.82 


16.31 


59 . 75 


1.6,57 


.59 . 67 


16.83 


62 




63 


60.85 


16.31 1 


60.78 


16.. 57 


60.71 


16,84 


60.63 


17.10 


63 




64 


61.82 


16.56 


61.75 


16.83 


61.67 


17.10 


61,60 


17.37 


64 




65 


62.79 


16.82 


62.71 


17.10 


62.64 


17.37 


62.56 


17.64 


65 




66 


63.75 


17.08 


63.68 


17.36 1 


63.60 


17.64 


63.52 


17.92 


66 




67 


64.72 


17.34 


64.64 


17.62 


64.56 


17.90 


64.48 


18.19 


67 




68 


65.68 


17.60 


65.61 


17.89 


65.53 


18.17 


65.45 


18.46 


68 




69 


66.65 


17.86 


66.57 


18.15 


66.49 


18.44 


66.41 


18.73 


69 




70 
71 


67.61 


18.12 


67 . .54 


18.41 


67.45 


18,71 


67.37 


19.00 


70 
71 




68.58 


18.38 


68.. 50 


18.68 


68.42 


18,97 


68:33 


19.27 




72 


69.55 


18.63 


69.46 


18,94 


69.38 


.19,24 


69.30 


19.. 54 


72 




73 


70.51 


18.89 


70.43 


19.20 


70.35 


19,51 


70.26 


19.82 


73 




74 


71.48 


19.15 


71.39 


19.46 


71.31 


i9.78 


71.22 


20.09 


74 




75 


72.44 


19.41 


72.36 


19.73 


72.27 


20.04 


72.18 


20.36 


75 




76 


73.41 


19.67 


73.32 


19.99 


73 . 24 


20.31 


73.15 


20.63 


76 




77 


74.38 


19.93 


74.29 


20.25 


74.20 


20 , 58 


74,11 


20.90 


77 




78 


75.34 


20.19 


75.25 


20.52 


75.16 


20,84 


75.07 


21.17 


78 




79 


76.31 


20.45 


76.22 


20.78 


76.13 


21,11 


76.03 


21.44 


79 




80 
81 


77.27 


20.71 


77.18 


21.04 


77.09 


21,38 


77.00 


21.72 


80 
81 




78.24 


20.96 


78.15 


21.31 


78.05 


21,65 


77.96 


21.99 




82 


79.21 


21.22 


79.11 


21.57 


79.02 


21,91 


78.92 


22.26 


82 




83 


80.17 


21.48 


80.08 


21.83 


79.98 


22,18 


79.88 


22.53 


83 




84 


81.14 


21.74 


81.04 


22,09 


80.94 


22.45 


80.85 


22.80 


84 




85 


82.10 


22.00 


82.01 


22.36 


81.91 


22.72 


81.81 


23.07 


85 




86 


83.07 


22.26 


82.97 


22.62 


82.87 


22.98 


82.77 


23.34 


86 




87 


84.04 


22.52 


83.94 


22,88 


83.84 


23.25 


83.73 


23.62 


87 




88 


85.00 


22.78 


84.90 


23.15 


84.80 


23.. 52 


84.70 


23.89 


88 




89 


85 . 97 


23.03 


85.87 


23.41 


85.76 


23.78 


85.66 


24.16 


89 




90 
91 


86.93 


23.29 


86.83 


23.67 


86.73 


24.05 


86.62 


24.43 


90 
91 




87.90 


23.55 


87.80 


23.94 


87.69 


24,32 


87.58 


24.70 




92 


88.87 


23.81 


88.76 


24.20 


88.65 


24.. 59 


88.55 


24.97 


92 




93 


89.83 


24.07 


89.73 


24.46 


89.62 


24.85 


89.51 


25.24 


93 




94 


90.80 


24.33 


90.69 


24.72 


90., 58 


25,12 


90.47 


25.52 


94 




95 


91.76 


24.59 


91.65 


24.99 


91.54 


25.39 


91.43 


25.79 


95 




96 


92.73 


24.85 


92,62 


25.25 


92.51 


25.65 


92.40 


26.06 


96 




97 


93.69 


25.11 


93.58 


25.51 


93.47 


25.92 


93.36 


26., 33 


97 




98 


94.66 


25.36 


94.. 55 


25.78 


94.44 


26.19 


91.32 


26.60 


98 




99 


95.63 


25.62 


95.51 


26.04 


95.40 


26.46 


95.28 


26.87 


99 




100 


96.59 


25.88 


96.48 


26.30 


96.36 


26,72 


96.25 


27.14 


100 

11 




Dep. 


Lat. 


Dep. 


Latr 


Dep. 


Lat, 


Dep. 


Lat. 




75 Deg. 


741 Deg. 


74i Deg. 


74i Deg. 



34 



TRAVERSE TABLE. 



1 


16 


Deg. 


m Deg. 


161 


Deg. 


161 Deg. 


C 
»• 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.96 


0.28 


0.96 


0.28 


0.96 


0.28 


0.96 


0.29 


1 


2 


1.92 


0.55 


1.92 


0.56 


1.92 


0.57 


1.92 


0.58 


2 


3 


2.88 


0.83 


2.88 


0.84 


2.88 


0.85 


2.87 


0.86 


3 


4 


3.85 


1.10 


3.84 


1.12 


3.84 


1.14 


3.83 


1.15 


4 


5 


4.81 


1.38 


4.80 


1.40 


4.79 


1.42 


4.79 


1.44 


5 


6 


5.77 


1.65 


5.76 


1.68 


5.75 


1.70 


5.75 


1.73 


6 


7 


6.73 


1.93 


0.72 


1.96 


6.71 


1.99 


6.70 


2.02 


7 


8 


7.69 


2.21 


7.68 


2.24 


7.67 


2.27 


7.66 


2.31 


8 


9 


8.65 


2.48 


8.64 


2.52 


8.63 


2.. 56 


8.62 


2 . 59 


9 


10 
11 


9.61 


2.76 


9.60 


2.80 


9.59 


2.84 


9.58 


2.88 


• 10 
11 


10.57 


3.03 


10.56 


3.08 


10.55 


3.12 


10.53 


3.17 


12 


11.54 


3.31 


11.52 


3.36 


11.51 


3.41 


11.49 


3.46 


12 


13 


12.50 


3.58 


12.48 


3.64 


12.46 


3.69 


12.45 


3.75 


13 


14 


13.46 


3.86 


13.44 


3.92 


13.42 


3.98 


13.41 


4.03 


14 


15 


14.42 


4.13 


14.40 


4.20 


14.38 


4.26 


14.36 


4.32 


15 


16 


15.38 


4.41 


15.36 


4.48 


15.34 


4.54 


15.32 


4.61 


16 


17 


16.34 


4.69 


16.32 


4.76 


16.30 


4.83 


16.28 


4.90 


17 


18 


17.30 


4.96 


17.28 


5.04 


17.26 


5.11 


17.24 


5.19 


18 


19 


18.26 


5.24 


18.24 


5.32 


18.22 


5.40 


18.19 


5.48 


19 


20 


19.23 


5.51 


19.20 


5.60 


19.18 


5.68 


19,15 


5.76 
6.05 


20 
21 


21 


20.19 


5.79 


20.16 


5.88 


20.14 


5.96 


20.11 


22 


21.15 


6.06 


21.12 


6.16 


21.09 


6.25 


21.07 


6.34 


22 


23 


22.11 


6.34 


22.08 


6.44 


22.05 


6.53 


22.02 


6.63 


23 


24 


23.07 


6.62 


23.04 


6.72 


23.01 


6.82 


22.98 


6.92 


24 


25 


24.03 


6.89 


24.00 


7.00 


23.97 


7.10 


23.94 


7.20 


25 


26 


24.99 


7.17 


24.96 


7.28 


24.93 


7.38 


24.90 


7.49 


26 


27 


25.95 


7.44 


25.92 


7.56 


25.89 


7.67 


25.85 


7.78 


27 


28 


26.92 


7.72 


26.88 


7.84 


26.85 


7.95 


26.81 


8.07 


28 


29 


27.88 


7.99 


27.84 


8.11 


27.81 


8.24 


27.77 


8.36 


29 


30 
31 


28.84 


8.27 


28.80 


8.39 


28.76 


8.52 


28.73 


8.65 


30 


29.80 


8.. 54 


29 . 76 


8.67 


29.72 


8.80 


29.68 


8.93 


31 


32 


30.76 


8.82 


30.72 


8.95 


30.68 


9.09 


30.64 


9.22 


32 


33 


31.72 


9.10 


31.68 


9.23 


31.64 


9.37 


31.60 


9.51 


33 


34 


32.68 


9.37 


32.64 


9.51 


32.60 


9.66 


32.56 


9.80 


34 


35 


33.64 


9.65 


33.60 


9.79 


33.56 


9.94 


33.51 


10.09 


35 


36 


34.61 


9.92 


.34.56 


10.07 


34.52 


10.22 


34.47 


10.38 


36 


37 


35.57 


10.20 


35.52 


10.35 


35.48 


10.51 


35.43 


10.66 


37 


38 


36.53 


10.47 


36.48 


10.63 


36.44 


10.79 


36.39 


10.95 


38 


39 


37.49 


10.75 


37.44 


10.91 


37.39 


11.08 


37.35 


11.24 


39 


40 
41 


38.45 


11.03 


38.40 


11.19 


38.35 


11.36 


38.30 


11.53 


40 
41 


39.41 


11.30 


39.36 


11.47 


39.31 


11.64 


39.26 


11.82 


42 


40.37 


11.68 


40.32 


11.75 


40.27 


1 1 . 93 


40.22 


12.10 


42 


43 


41.33 


11.85 


41.28 


12.03 


41.23 


12.21 


41.18 


12.39 


43 


44 


42.30 


12.13 


42.24 


12.31 


42.19 


12.. 50 


42.13 


12.68 


44 


45 


43.26 


12.40 


43.20 


12.59 


43.15 


12.78 


43.09 


12.97 


45 


46 


44.22 


12.68 


44.16 


12.87 


44.11 


13.06 


44.05 


13.26 


46 


47 


45.18 


12.95 


45.12 


13.15 


45.06 


13.35 


45.01 


13.55 


47 


48 


46.14 


13.23 


46.08 


13.43 


46.02 


13.63 


45.96 


13.83 


48 


49 


47.10 


13.51 


47.04 


13.71 


46.98 


13.92 


46.92 


14.12 


49 


50 

1 


48.06 


13.78 


48.00 


13.99 


47.94 


14.20 


47.88 


14.41 


50 

§ 
J 
.2 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


74 Deg. 


731 


Deg. 


731 


Deg. 


734 Deg. 



TRAVERSE TABLE 



35 



2 
J 

51 


1 

16 Deg. 


16i Deg. 


161 


Deg. 


161 Deg. 


O 

g 
"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


49.02 


14.06 


48.96 


14.27 


48.90 


14. IF 


48.84 


14.70 


52 


49.99 


14.33 


49.92 


14.55 


49.86 


14.77 


49.79 


14.99 


52 


53 


50.95 


14.61 


50.88 


14.83 


50.82 


15.05 


50.75 


15.27 


53 


54 


51.91 


14.88 


51.84 


15.11 


51.78 


15.34 


51.71 


15.. 56 


54 


55 


52.87 


15.16 


52.80 


15.39 


52.74 


15.62 


52.67 


15.85 


55 


56 


53.83 


15.44 


53.76 


15.67 


53.69 


15.90 


53.62 


16.14 


56 


57 


54.79 


15.71 


54.72 


15.95 


54.65 


16.19 


54.58 


16.43 


57 


58 


55.75 


15.99 


55.68 


16.23 


55.61 


16.47 


55.54 


16.72 


58 


59 


56.71 


16.26 


ii6.64 


16.51 


66.57 


16.76 


56.50 


17.00 


59 


60 
61 


57.68 


16.54 


57.60 


16.79 


57.. 53 


17.04 


57.45 


17.29 


60 
61 


58.64 


16.81 


58.56 


17.07 


,58.49 


17.32 


58.41 


17.58 


62 


59.60 


17.09 


59.52 


17.35 


59.45 


17.61 


59.37 


17.87 


62 


63 


60.56 


17.37 


60.48 


17.63 


60.41 


17.89 


60.33 


18.16 


63 


64 


61.52 


17.64 


61.44 


17.91 


61.36 


18.18 


61.28 


18.44 


64 


65 


62.48 


17.92 


62.40 


18.19 


62.32 


18.46 


62.24 


18.73 


65 


66 


63.44 


18.19 


63.. 36 


18.47 


63.28 


18.74 


63.20 


19.02 


66 


67 


64.40 


18.47 i 


64.32 


18.75 


64.24 


19.03 


64.16 


19.31 


67 


68 


65.37 


18.74 


65.28 


19.03 


65.20 


19.31 


65.11 


19.60 


68 


69 


66.33 


19.02 


66.24 


19.31 


66.16 


19.60 


66.07 


19.89 


69 


70 


67.29 


19.29 1 


67.20 


19.59 


67.12 
68.08 


19.88 


67.03 


20.17 


70 

71 


71 


68.25 


19.57 


68.16 


19.87 


20 . ] 7 


67. 9D 


20.46 


72 


69.21 


19.85 


69.12 


20.15 


69.03 


20.45 


68.95 


20.75 


72 


73 


70.17 


20.12 


70.08 


20.43 


69.99 


20.73 


69.90 


21.04 


73 


74 


71.13 


20.40 


71.04 


20.71 


70.95 


21.02 


70.86 


21.33 


74 


75 


72.09 


20.67 


72.00 


20.99 


71.91 


21.30 


71.82 


21.61 


75 


76 


73.06 


20.95 


72.96 


21.27 


72.87 


21.. 59 


72.78 


21.90 


76 


77 


74.02 


21.22 


73.92 


21.55 


73.83 


21.87 


73.73 


22.19 


77 


78 


74.98 


21. ,50 


74.88 


21.83 


74.79 


22.15 


74.69 


22.48 


78 


79 


75.94 


21.78 


75.84 


22.11 


75.75 


22.44 


75.65 


22.77 


79 


80 
81 


76.90 


22.05 


76.80 


22.39 


76.71 


22.72 


76.61 


23.06 


80 
-81 


77.86 


22.33 


77.76 


22.67 


77.66 


23.01 


77.56 


23.34 


82 


78.82 


22.60 


78.72 


22.95 


78.62 


23.29 


78.52 


23.63 


82 


83 79.78 


22.88 


79.68 


23.23 


79.58 


23.57 


79.48 


23.92 


83 


84 


80.75 


23.15 


80.64 


23.51 


80.54 


23.86 


80.44 


24.21 


84 


85 


81.71 


23.43 


81.60 


23.79 


81.50 


24.14 


81.39 


24.50 


85 


86 


82.67 


23.70 


82.56 


24.07 


82.46 


24.43 


82.35 


24.78 


86 


87 


83.63 


23.98 


83.52 


24.35 


83.42 


24.71 


83.31 


25.07 


87 


88 


84.59 


24.26 


84.48 


24.62 


84.38 


24.99 


84.27 


25.36 


88 


89 


85.55 


24.53 


85.44 


24.90 


85,33 


25.28 


85.22 


25.65 


89 


90 
91 


86.51 


24.81 


86.40 


25.18 


86.29 


25.56 


86.18 
87.14 


25.94 
26.23 


90 
91 


87.47 


25.08 


87.36 


25.46 


87.25 


25.85 


92 


88.44 


25.36 


88.32 


25.74 


88.21 


26.13 


88.10 


26.51 


92 


93 


89.40 


25.63 


89.28 


26,02 


89.17 


26.41 


89.05 


26.80 


93 


94 


90.36 


25.91 


90.24 


26.30 


90.13 


26.70 


90.01 


27.09 


94 


95 


91.32 


26 . 19 


91.20 


26.58 


91.09 


26.98 


90.97 


27.38 


95 


96 


92.28 


26.46 


92.16 


26.86 


92.05 


27.27 


91.93 


27.67 


96 


97 


93.24 


26.74 


93.12 


27.14 


93.01 


27.55 


92.88 


27.95 


97 


98 


94.20 


27.01 


94.08 


27.42 


93.96 


27.83 


93.84 


28.24 


98 


99 


95.16 


27.29 


95.04 


27.70 


94.92 


28.12 


94.80 


28.53 


99 


100 

1 


96.13 


27.56 


96.00 


27.98 
Lat. 


95.88 


28.40 


95.76 


28.82 


100 

S 


Dep. 


Lat. 


Dep. 


Dep. 


Lat. 


Dep. 


Lat. 


74 Deg. 


73i Deg. 


73^ Deg. 


73i Deg. 



36 



TRAVEKSE TABLB. 




1 

i 


17 Deg. 


17i Deg. 


17^ Deg. 


171 Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.96 


0.29 


0.95 


0,30 


0.95 


0.30 


0.95 


0.30 


2 


1.91 


0.58 


1.91 


0.59 


1.91 


0.60 


1.90 


0.61 


2 


3 


2.87 


0.88 


2.87 


0.89 


2.86 


0.90 


2.86 


0.91 


3 


4 


3.83 


1.17 


3.82 


1.19 


3.81 


1.20 


3.81 


1.22 


4 


5 


4.78 


1.46 


4.78 


1.48 


4.77 


1.50 


4.76 


1.52 


5 


6 


5.74 


1.75 


5.73 


1.78 


5.72 


1.80 


5.71 


1.83 


6 


7 


6.69 


2.05 


6.69 


2.08 


6.68 


2.10 


6.67 


2.13 


7 


8 


7.65 


2.34 


7.64 


2.37 


7.63 


2.41 


7.62 


2.44 


8 


9 


8.61 


2.63 


8.60 


2.67 


8.58 


2.71 


8.57 


2.74 


9 


10 
11 


9 . 56 


2.92 


9.55 


2.97 


9.54 


3.01 


9.. 52 
10.48 


3.05 


10 
11 


10.52 3.-i'Z\\ 


10.51 


3.26 


10.49 


3.31 


3.35 


12 


11.48 


3.51 


11.46 


3.56 


11.44 


3.61 


11.43 


3.66 


12 


13 


12.43 


3.80 


12.42 


3.85 


12.40 


3.91 


12.. 38 


3.96 


13 


14 


13.39 


4.09 


13.37 


4.15 


13.35 


4.21 


13.33 


4.27 


14 


15 


14.34 


4.39 


14.33 


4.45 


14.31 


4.51 


14.29 


4.57 


15 


16 


15.30 


4.68 


15.28 


4.74 


15.26 


4.81 


15.24 


4.88 


16 


17 


16.26 


4.97 


16.24 


5.04 


16.21 


5.11 


16.19 


5.18 


17 


18 


17.21 


5.26 


17.19 


5.34 


17.17 


5.41 


17.14 


5.49 


18 


19 


18.17 


5.56 


18.15 


5.631 


18.12 


5.71 


18.10 


5.79 


19 


20 
21 


19.13 


5.85 


19.10 


5.93 


19.07 
20.03 


6.01 


19.05 


6.10 


20 

21 


20.08 


6.14 


20.06 


6.23 


6.31 


20.00 


6.40 


22 


21.04 


6.43 


21.01 


6.52 


20.98 


6.62 


20.95 


6.71 


22 


23 


21.99 


6.72 


21.97 


6.82 


21.94 


6.92 


21.91 


7.01 


23 


24 


22.95 


7.02 


22,92 


7.12 


22.89 


7.22 


22.86 


7.32 


24 


25 


23.91 


7.31 


23.88 


7.41 


23.84 


7.. 52 


23.81 


7.62 


25 


26 


24.86 


7.60 


24.83 


7.71 


24.80 


7.82 


24.76 


7.93 


26 


27 


25.82 


7.89 


25.79 


8.01 


25.75 


8.12 


25.71 


8.23 


27 


28 


26.78 


8.19 


26.74 


8.30 


26.70 


8.42 


26.67 


8.54 


28 


29 


27.73 


8.48 


27.70 


8.60 


27.66 


8.72 


27.62 


8.84 


29 


30 
81 


28.69 


8.77 


28,65 


8.90 


28.61 


9.02 


28.57 


9.15 


30 


29.65 


9.06 


29.61 


9.19 


29.57 


9.32 


29.52 


9.45 


"31 


82 


30.60 


9.36 


30.56 


9.49 


30.52 


9.62 


30.48 


9.76 


32 


33 


31.56 


9.65 


31.. 52 


9.79 


31.47 


9.92 


31.43 


10,06 


33 


84 


32.51 


9.94 


32.47 


10.08 


32.43 


10.22 


32.38 


10,37 


34 


85 


33.47 


10.23 


33.43 


10.38 


33.. 38 


10.52 


33.33 


10.67 
10.98 


35 


36 


34.431 10.53 


.34.38 


10.68 


34.33 


10.83 


34.29 


36 


87 


35.38 1 10.82 


35.34 


10.97 


35.29 


11.13 


35 24 


11.28 


37 


38 


36.34 11.11 


36.29 


11.27 


36.24 


11.43 


30.19 


11.58 


38 


89 


37.30 1 11.40 


37.25 


11.57 


37.19 


1 1 . 73 


37.14 


11.89 


39 


40 
41 


38.25 11.69 


38.20 


11.86 


38.15 


12.03 


38.10 


12.19 


40 
41 


39.21 1 11.99 


39.16 


12.16 


39.10 


12.33 


39.05 


12.50 


42 


40.16 1 12,28 


40.11 


12.45 


40.06 


12.63 


40.00 


12.80 


43 


43 


41.12] 12.57 


41.07 


12.75 


41.01 


12.93 


40.95 


13.11 


43 


44 


42.08,12.86 


42.02 


13.05 


41.96 


13,23 


41.91 


13.41 


44 


45 143.03 13.16 


42.98 


13.34 


42.92 


13.53 


42.86 


13.72 


45 


46 


43.99 13.45 


43.93 


13.64 


43.87 


13.83 


43.81 


14.02 


46 


47 


44.95 i 13.74 


44.89 


13.94 


44.82 


14.13 


44.76 


14,33 


47 


48 


45.90 ; 14.03 


45.84 


14.23 


45.78 


14.43 


45.71 


14,63 


48 


49 


46.86 i 14.33 


46.80 


14.53 


46.73 


14.73 


46.67 


14,94 


49 


_50 
1 


47.82 


14.62 


ll 47.75 


14.83 


j 47.69 


15.04 


47.62 


15,24 


50 


Dep. 


Lat. 


Dep. 


Lat. 


1 Dep. 
721 


Lat. 
Deg. 


Dep. 


Lat. 


73 Deg. 


7g| Deg, 


724 Deg. 


1 

a 



TBAVSRSK TABLE. 



S7 



1 

-t - 


17 Deg. 


17iDeg. 1 


Hi Deg. 


17J Deg. 


P 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




48.77 


14.91 


48.71 


15.12 


48.64 


15.34 


48.57 


15.55 


51 




52 


49.73 


15.20 


49.66 


15.42 


49.59 


15.64 


49.52 


15.85 


52 




53 


50.68 


15.50 


50.62 


15.72 


50.55 


15.94 


50.48 


16.16 


53 




54 


51.64 


15.79 


51.57 


16.01 


51.50 


16.24 


51.43 


16.46 


54 




55 


52.60 


16.08 


52.53 


16.31 


.52.45 


16.54 


52.38 


16.77 


55 




56 


53.55 


16.37 


53.48 


16.61 


53.41 


16.84 


,53.33 


17.07 


56 




57 


54.51 


16. €7 


54.44 


16.90 


54.36 


17.14 


54.29 


17.38 


57 




58 


55.47 


16,96 


55.39 


17.20 


55.32 


17.44 


55.24 


17.68 


58 




59 


56.42 


17.25 


56.35 


17.50 


56.27 


17.74 


56.10 


17.99 


59 




60 
"61 


57.38 


17.54 


57.30 


17.79 


57.22 


18.04 


57.14 


18.29 


60 




58.33 


17.83 


58.26 


18.09 


58.18 


18.34 


58.10 


18.60 


61 




62 


59.29 


18.13 


59.21 


18.39 


59.13 


18.64 


.59.05 


18.90 


62 




63 


60.25 


18.42 


60.17 


18.68 


60.08 


18.94 


'>0.00 


19.21 


63 




64 


61.20 


18.71 


61.12 


18.98 


61.04 


19.25 


60,95 


19.51 


64 




65 


62.16 


19.00 


62.08 


19.28 


61.99 


19.55 


61.91 


19.82 


65 




66 


63.12 


19.30 


63.03 


19.57 


62.95 


19.85 


62.86 


20.12 


66 




67 


64.07 


19.59 


63.99 


19.87 


63.90 


20.15 


63.81 


20.43 


67 




68 


65.03 


19.88 


64.94 


20.16 


64.85 


20.45 


64.76 


20.73 


68 




69 


65.99 


20.17 


65.90 


20.46 


65.81 


20.75 


65.72 


21.04 


69 




70 
71 


66.94 


20.47 


66.85 


20.75 


66.76 


21.05 


66.67 


21.34 
21.65 


70 
71 




67.90 


20.76 


67.81 


21.05 


67.71 


21.35 


67.62 




72 


68.85 


21.05 


68.76 


21.35 


68.67 


21.65 


68.57 


21.95 


72 




73 


69.81 


21.34 


69.72 


21.65 


69.62 


21.95 


69.52 


22.26 


73 




74 


70.77 


21.64 


70.67 


21.94 


70.58 


22.25 


70.48 


22.55 


74 




75 


71.72 


21.93 


71.63 


22.24 


71.53 


22.55 


71.43 


22.86 


75 




76 


72.68 


22.22 


72.58 


22.54 


72.48 


22.85 


72.38 


23.17 


76 




77 


73.64 


22.51 


73.54 


22.83 


73.44 


23.15 


73.33 


23.47 


77 




78 


74.59 


22.80 


74.49 


23.13 


74.39 


23.46 


74.29 


23.78 


78 




79 


75.55 


23.10 


75.45 


23.43 


75.34 


23.76 


75.24 


24.08 


79 




80 

81 


76.50 


23.39 


76.40 


23.72 


76.30 


24.06 


76.19 


24.39 


80 
81 




Y7A6 


23.68 


77.36 


24.02 


77.25 


24.36 


77.14 


24:6T 




82 


78.42 


23.97 


78.31 


24.32 


78.20 


24.66 


78.10 


25.00 


82 




83 


79.37 


24.-J7 


79.27 


24.61 


79.16 


25.96 


79.05 


25.30 


83 




84 


80.33 


24.56 


80.22 


24.91 


80.11 


25.26 


80.09 


25,61 


84 




85 


81.29 


24.85 


81.18 


25.21 


81.07 


25.56 


80.95 


25.91 


85 




86 


82.24 


25.14 


82.13 


25.50 


82.02 


25.86 


'81.91 


26.22 


86 




87 


83.20 


25.44 


83.09 


25.80 


82.97 


26.16 


82.86 


26.. 52 


87 




88 


84.15 


25.73 


84.04 


26.10 


83.93 


26.46 


183.81 


26.83 


88 




89 


85.11 


26.02 


85.00 


26.39 


84.88 


26.76 


84.76 


27.13 


89 




90 
91 


86.07 


26.31 


ll 85 . 95 


26.69 


85.83 


27.06 


85.72 


27.44 
27.74 


90 
91 




87.02 


26.61 


86.91 


26':99" 


185.79 


27.36 


86.67 




92 


87.98 


26.90 


87.86 


27.28 


87.74 


27.66 


87.62 


28.05 


92 




i 93 


88.94 


27.19 


88.82 


27.58 


88.70 


27. -197 


88.57 


28.35 


93 




94 


89.89 


27.48 


89.77 


27.87 


89.65 


28.27 


89.53 


.28.66 


94 




95 


90.85 


27.78 


90.73 


28.17 


90.60 


28.57 


90.48 


28.96 


95 




96 


91.81 


28.07 


91.68 


28.47 


1 91.56 


28.87 


91.43 


29.27 


96 




97 


92.76 


28.. 36 


92.64 


28.76 


92.51 


29.17 


92.38 


29.57 


97 




98 


93.72 


28.65 


93.59 


29.06 


93.46 


29. 4t 


93.33 


29.88 


98 




99 


94.67 


28.94 


94.55 


29.36 


94.42 


29.77 


94.29 


30.18 


99 




100 


95.63 


29.24 


95.50 


29.65 


95.37 


30.07 


95.24 


30.49 


100 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 




73 Deg. 


72J Deg. 


72iDeg. 


m Deg. 


2 





38 



TRAVERSE TABLE. 





18 Deg. 


m Deg. 


18^ Deg. 


181 Deg. 


5- 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


r 


0.95 


0.31 


0.95 


0,31 


0.95 


0.32 


0.96 


0.32 


T 


2 


1.90 


0.62 


1.90 


0.63 


1.90 


0.63 


1.89 


0.64 


2 


3 


2.85 


0.93 


2.85 


0.94 


2.84 


0.95 


2.84 


0.96 


3 


4 


3.80 


1.24 


3.80 


1.25 


3.79 


1.27 


3.79 


1.29 


4 


5 


4.76 


1.55 


4.75 


1.57 


4.74 


1.59 


4.73 


1.61 


5 


6 


5.71 


1.85 


5.70 


1.88 


5.69 


1.90 


5.68 


1.93 


6 


7| 6.66 


2.16 


6.65 


2.19 


6.64 


2.22 


6.63 


2.25 


7 


8 


7.61 


2.47 


7.60 


2.51 


7., 59 


2.54 


7.58 


2.57 


8 


9 


8.56 


2.78 


8.55 


2.82 


8.53 


2.86 


8.52 


2.89 


9 


la 


9.51 


3.09 


9.50 


3.13 


9.48 


3.17 


9.47 


3.21 


10 


11 


10.46 


3.40 


10.45 


3.44 


10.43 


3.49 


10,42 


3.54 


11 


12 


11.41 


3.71 


11.40 


3.76 


11.38 


3.81 


11.36 


3.86 


12 : 


13 


12.36 


4.02 


12.35 


4.07 


12.33 


4.12 


12.31 


4.18 


13 


14 


13.31 


4.33 


13.30 


4., 38 


13.28 


4.44 


13.26 


4.50 


14 


15 


14.27 


4.64 


14.25 


4.70 


14.22 


4.76 


14.20 


4.82 


15 


16 


15.22 


4.94 


15.20 


"5.01 


15.17 


5.08 


15.15 


5.14 


16 


17 


16.17 


5.25 


16.14 


5.32 


16.12 


5.39 


16.10 


5.46 


17 


18 


17.12 


5.56 


17.09 


5.64 


17.07 


5,71 


17.04 


5,79 


18 


19 


18.07 


5.87 


18.04 


5.95 


18.02 


6.03 


17.99 


6,11 


19 


20 
21 


19.02 


6.18 


18.99 
19.94 


6.26 


18.97 


6.35 


18.94 


6.43 
6.75 


20 
21 


19.97 


6.49 


6.58 


19.91 


6.66 


19.89 


22 


20.92 


6.80 


20.89 


6.89 


20.86 


6.98 


20.83 


7.07 


22 


23 


21.87 


7.11 


21.84 


7.20 


•21.81 


7.30 


21.78 


7.39 


23 


24 


22.83 


7.42 


22.79 


7.52 


22.76 


7.62 


22.73 


7.71 


24 


25 


23.78 


7.73 


23.74 


7.83 


23.71 


7.93 


23.67 


8.04 


25 


26 


24.73 


8.03 


24.69 


8.14 


24.66 


8.25 


24.62 


8.36 


26 


27 


25.68 


8.34 


25.64 


8.46 


25.60 


8.57 


25.57 


8.68 


27 


28 


26.63 


8.65 


26.59 


8.77 


26.55 


8.88 


26.51 


9.00 


28 


29 


27.. 58 


8.96 


27.54 


9.08 


27.50 


9.20 


27.46 


9.32 


29 


30 


28.. 53 


9.27 


28.49 


9.39 


28.45 


9.52 


28.41 


9.64 


30 


31 


29.48 


9.58 


29.44 


9.71 


29.40 


9.84 


29.35 


9.96 


31 


32 


30.43 


9.89 


30.39 


10.02 


30.35 


10.15 


30.30 


10.29 


32 


33 


31.38 


10.20 


31.34 


10.33 


31.29 


10.47 


31.25 


10.61 


33 


34 


32.34 


JO. 51 


32.29 


10.65 


32.24 


10.79 


32.20 


10.93 


34 


35 


33.29 


10.82 


33.24 


10.96 


33.19 


11.11 


,33.14 


11.25 


35 


36 


34.24 


11.12 


34.19 


11.27 


34.14 


11.42 


34.09 


11.57 


36 ; 


37 


35.19 


11.43 


35.14 


11.59 


35.09 


11.74 


35.04 


11.89 


37- 


38 


36.14 


11.74 


,36.09 


11.90 


36.04 


12.00 


35.98 


12.21 


38 


39 


37.09 


12.05 


37.04 


12.21 


36.98 


12.37 


36.93 


12.54 


39 


40 


38.04 


1-2.36 


37.99 


12.53 


37.93 


12.69 1 


37.88 


12.86 


40 


41 


38.99 


12.67 


38.94 


12.84 


38.88 


13.01 


38.82 


13.18 


41 


42 


39.94 


12.98 


39.89 


13.15 


39.83 


13.33 


39.77 


13.50 


42 


43 


40.90 


13.29 


40.84 
41.79 


13.47 


40.78 


13.64 


40.72 


13.82 


43 


44 


41.85 


13.60 


13.78 


41.73 


13.96 


41.66 


14.14 


44 


45 


42.80 


13.91 


42.74 


14.09 


42.67 


14.28 


42.61 


14.46 


4ft 


46 


43.75 


14.21 


43.69 


14.41 


43.62 


14.60 


43.56 


14,79 


46 


47 


44.70 


14.52 


44.64 


14.72 


44.57 


14.91 


44.51 


15.11 


47 


48 


45.65 


14.83 


45.. 59 


15.03 


45.52 


15.23 


45.45 


15.43 


48 


49 


46.60 


15.14 


46.54 


15.35 


46.47 


J5.55 


46.40 


r5.75 


49 


50 


47.55 


15.45 


47.48 


i5-66. 


47.42 


15.87 


47.35 


16.07 


50 


S' 


Pep. 


Lat. 


Dep. 


Lat. f 


Dep. 


Lat. 


Dep. 


Lat. 


S : 


a 
1 






i 








1 : 










s 


72 Deg. 


71iDeg. 


71i Deg. 


7U Deg. 


s 



TRAVERSB TABLE. 



39 



o 


18 Deg. j 


m Deg. 


18^ Deg. 


18| Deg. 


O 




~5T 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. Dep. 


Lat. 


Dep, 




18.50 


15.76 


48.43 


15.97 


48.36 16.18 


48.29 


16,39 


~5l 




52 


49.45 


16.07 


49.38 


16.28 


49.31 1 16.50 


49.24 


16,71 


52 




53 


50.41 


16.38 


50.33 


16.60 


50.26 


16.82 


50.19 


17,04 


53 




54 


51.36 


16.69 


51.28 


16.91 


51.21 


17.13 


51.13 


17,36 


54 




55 


52.31 


17.00 


52.23 


17.22 


52.16 


17.45 


52.08 


17,68 


55 




56 


53.26 


17.30 


53.18 


17.54 


53.11 


17.77 


53.03 


18,00 


56 




57 


.54.21 


17.61 


54,1.3 


17.85 


54.05 


18.09 


53.98 18.32' 57 




58 


55.16 


17.92 


55.08 


18.16 


55.00 


18.40 


54.92 


18.64 58 




59 


56 . 11 


18,23 


56.03 


18.48 


55.95 


18.72 


55.87 


18.96 59 




60 


57.06 


18.54 1 


56.98 


18.79 


.56.90 


19.04 


56.82 


19.29! 60 




61 


58.01 


18 85 1 


57.93 


19.10 


57.85 


19.36 


.57.76 


19.61' 


61 




62 


58 . 97 


19.16 


58.88 


19.42 


58.80 


19.67 


58.71 


19.93 


62 




63 


59 . 92 


19.47 


59.83 


19.73 


59.74 


19.99 


59.66 


20.25 


63 




64 


60.87 


19.78 


00.78 


20.04 


60.69 


20.31 


60.60 


20.57 


64 




65 


61.82 


20.09 


61.73 


20.36 


61.64 


20.62 


61.55 


20.89 


65 




66 


62.77 


20.40 


62.68 


20.67 


62.59 


20.94 


62,. 50 


21.22 


66 




67 


63.72 


20.70 


63.63 


20.98 


63.54 


21.26 


63.44 


21.54 


67 




68 


64.67 


21.01 


64.58 


21.30 


64.49 


21.53 


64.39 


21.86 


68 




69 


65.62 


21.32 


65.53 


21.61 


65.43 


21.89 


65.34 


22.18 


69 




70 
71 


66.57 
67.53 


21.63 


66.48 


21.92 


66.38 


22.21 


66.29 
67.23 


22.50 
22.82 


J70 

71 




21.94 


67.43 


22.23 


67.33 


2-^.53 




72 


68.48 


22 . 25 


68.38 


22 . 55 


68.28 


22.85 


68.18 


23.14 


■ 72 




73 


69.43 


22 . 56 


69.33 


22.86 


69.23 


23.16 


69.13 


23.47 


73 




74 


70.38 


22.87 


70.28 


23.17 


70.18 


23.48 


70.07 


23.79 1 74 




75 


71.33 


23.18 


71.23 


23.49 


71.12 


23.80 


71.02 


24.11 


75 




76 


72.28 


23.49 


72.18 


23.80 


72.07 


24. 12 


71.97 


24.43 


76 




77 


73.23 


23.79 


73.13 


24.11 


73.02 


24.43 


72.91 


24.75 


77 




78 


74.18 


24.10 


74.08 


24.43 


73.97 


24.75 


73.86 


25.07 


78 




79 


75.13 


24.41 


75.03 


24.74 


74.92 


25.07 


74.81 


25.39 


79 




80 
81 


76.08 


24.72 
25.03 


75.98 


25.05 


75.87 


25.38 


75 . 75 


25.72 


80 




77.04 


76.93 


25.37 


76.81 


25 . 70 


76.70 


26.04 


81 




82 


77.99 


25.34 


77.88 


25.68 


77.76 


26.02 


77.65 


26.36 


82 




83 


78.94 


25.65 


78.83 


25 . 99 


78.71 


26.34 


78.60 


26.68 


83 




84 


79.89 


25.90 


79 . 77 


26.31 


79.66 


26.65 


79.54 


27.00 


84 




85 


80.84 


26.27 


80.72 


26.62 


80.61 


26.97 


80.49 


27.32 


85 




86 


81.79 


26.58 


81.67 


26.93 


81.56 


27.29 


81.44 


27.64 


86 




87 


82.74 


26.88 


82.62 


27.25 


82.50 


27.61 


82.38 


27.97 


87 




88 


83.69 


27.19 


83.57 


27 . 56 


83.45 


27.92 


83.33 


28.29 


88 




89 


84.64 


27.50 


84 . 52 


27.87 


84.40 


28.24 


84.28 


28.61 


89 




90 
91 


85.60 


27.81 


85 . 47 


28.13 


^5.35 


28.56 
28.37 


85 . 22 


28.93 


90 




86.55 


28.12 


86.42 


28.50 


86.30 


86.17 


29.25 


91 




92 


87.50 


28.43 


87.37 


28.81 


87.25 


29.19 


87.12 


29.57 


92 




93 


88.45 


28 . 74 


88.32 


29.12 


88.19 


29.51 


88.06 


29.89 


93 




94 


89.40 


29.05 


89.27 


29.44 


89.14 


29.83 


89.01 


30.22 


94 




95 


90.35 


29.36 


90.22 


29.75 


90.09 


30.14 


89.96 


30.54 


95 




96 


91.30 


29.67 


91.17 


30.06 


91.04 


30.46 


90.91 


30.86 


96 




97 


92.25 


29.97 


92.12 


30.38 


91.99 


30.78 


91.85 


31.18 


97 




98 


93.20 


30.28 


93.07 


30.69 


92.94 


31.10 


92.80 


31.50 


98 




99 


94.15 


30.59 


94.02 


31.00 


93.88 


31.41 


93.75 


31.82 


99 




100 

§ 

s 


95.11 


30.90 


94.97 


31.32 


94.83 


31.73 


94.69 


32.14 


100 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


s 

a 

vi 




72 Deg. 


711 Deg. 


711 Deg. 


71i Deg. 





40 



TKAVEESE TABLir. 



o 


19Deg. 


19i Deg. 


19A Deg. 


191 Deg. 


ST 




I^t. 


Dep. 


Lat. 

0.94 


Dep, 


Lat. 


Dep. 


Lat. 


Dep. 




1 


0.95 


0.33 


0.33 


0.94 


0..33 


0.94 


0.34 


1 




■ 2 


1.89 


0.65 


1.89 


0.66 


1.89 


0.67 


1.88 


0.68 


2 




3 


2.84 


0.98 


2.83 


0.99 


2.83 


1,00 


2,82 


1,01 


3 




4 


3.78 


1.30 


3.78 


1.32 


3.77 


1.34 


3.76 


1,35 


4 




5 


4.73 


1.63 


4.72 


1.65 


4.71 


1.67 


4.71 


1.69 


5 




■ 6 


5.67 


1.95 


5.66 


1.98 


5.66 


2.00 


5.65 


2.03 


6 




7 


6.62 


2.28 


6.61 


2.31 


6.60 


2.34 


6.59 


2.37 


7 




8 


7.56 


2.60 


7.55 


2.64 


7.54 


2.67 


7.53 


2.70 


8 




9 


8.51 


2.93 


8.. 50 


2.97 


8.48 


3.00 


8.47 


3.04 


9 




10 


9.46 


3.26 


9.44 


3.30 


9 . 43 


3.34 


9.41 


3.38 


10 




11 


10.40 


3.58 


10.38 


3.63 


10.37 


3.67 


10.3'5 


3.72 


11 




12 


11.35 


3.91 


11 . 33 


3.96 


11.31 


4.01 


11.29 


4.06 


12 




13 


12.29 


4.23 


12.27 


4.29 


12.25 


4.34 


12,24 


4.39 


13 




14 


13.24 


4.56 


13.22 


4.62 


13.20 


4,67 


13,18 


4!73 


14 




15 


14.18 


4.88 


14.16 


4.95 


14.14 


5.01 


14.12 


5.07 


15 




16 


15.13 


5.21 


15.11 


5.28 


15.08 


5.34 


15.06 


5,41 


16 




17 


16.07 


6.53 


16.05 


5.60 


16.02 


5.67 


16.00 


5.74 


17 




18 


17.02 


5.86 


16.99 


5.93 


16.97 


6.01 


16.94 


6,08 


18 




19 


17.96 


6.19 


17.94 


6.26 


17.91 


6.34 


17.88 


6.42 


19 




20 


18.91 


6.51 


18.88 


6.59 


18.85 


6.68 


18.82 
19.76 


6.76 


20 
21 




21 


19.86 


6.84 


19.83 


6.92 


19.80 


7.01 


7.10 




22 


20.80 


7.16 


20 . 77 


7.25 


20.74 


7.34 


20.71 


7.43 


22 




23 


21.75 


7.49 


21.71 


7.58 


21.68 


7.68 


21.65 


7.77 


23 




24 


22.69 


7.81 


22.66 


7.91 


22.62 


8.01 


22.59 


8.11 


24 




25 


23.64 


8.14 


23.60 


8.24 


23.57 


8.35 


23.53 


8.45 


25 




26 


24.58 


8.46 


24.55 


8.57 


24.51 


8.68 


24.47 


8.79 


26 




27 


25 . 53 


8.79 


25.49 


8.90 


25.45 


9.01 


25.41 


9.12 


27 




28 


26.47 


9.12 


26.43 


9.23 


26.39 


9.35 


26.35 


9,46 


28 




29 


27.42 


9.44 


27.38 


9.56 


27.34 


9.68 


27.29 


9.80 


29 




30 


28.37 


9.77 


28.32 


9.89 


28.28 


10.01 


28.24 


10.14 


30 




^ 31 


29.31 


10.09 


29.27 


10.22 


29.22 


10.35 


29.18 


10.48 


31 




32 


30.26 


10.42 


30.21 


10.55 


30.16 


10.68 


30.12 


10.81 


32 




33 


31,20 


10.74 


31.15 


10.88 


31.11 


11.02 


31.06 


11.15 


33 




34 


32.15 


11.07 


32.10 


11.21 


32.05 


11,35 


32.00 


11,49 


34 




35 


33.09 


11.39 


33.04 


1 1 . 54 


32.99 


11,68 


32.94 


11,83 


35 




36 


34.04 


11.72 


33.99 


11.87 


33.94 


12.02 


33.88 


12,17 


36 




87 


34.98 


12.05 


34.93 


12.20 


34.88 


12.35 


34.82 


12.50 


37 




38 


35.93 


12.37 


35.88 


12.53 


35.83 


12.68 


35.76 


12,84 


38 




39 


36.88 


12.70 


36.82 


12.86 


36.76 


13.02 


36.71 


13,18 


39 




40 


37.82 


13.02 


37.76 


13.19 


37.71 


13.35 


37.65 


13,52 


40 




41 


38.77 


13.35 


38.71 


13.52 


38 . 65 


13.69" 


38.59 


13,85 


41 




42 


39.71 


13.67 


39.65 


13.85 


39.59 


14.02 


39,53 


14.19 


42 




43 


40.66 


14.00 


40.60 


14.18 


40.53 


14.35 


40,47 


14.53 


43 




44 


41.60 


14.32 


41.54 


14.51 


41.48 


14.69 


41,41 


14.87 


44 




45 


42.55 


14.65 


42.48 


14.84 


42.42 


15.02 


42.35 


15.21 


45 




46 


43.49 


14.98 


43.43 


15.17 


43.36 


15.36 


43,29 


15,54 


46 




47 


44.44 


15.30 


44.37 


15.50 


44.30 


15.69 


44.24 


15,88 


47 




48 


45.38 


15.63 


45.32 


15.83 


45.25 


16.02 


45.18 


16,22 


48 




49 


46.33 


15.95 


46.26 


16.15 


46.19 


16.36 


46,12 


16,56 


49 




50 


47.28 


16.28 


47.20 


16.48 


47,13 


16.69 


47.06 


16.90 


50 




.2 
Q 


Dep. 


Lat, 


Dep. 


Lat. 


Dep, 


Lat. 


Dep, 


Lat. 


1 




71 E 


>eg. 


701 Deg. 


70iE 


>eg. 


TOi] 


3eg. 






1 













I 



TRAVERSE TABLE. 



41 



i" 


19 Deg. 


19i Deg. 


19A Dog. 


191 Deg. 


1 
P 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


48.22 


16.60 


48.15 


16.81 


48.07 


17,02 


48.00 


17,23 


52 


49.17 


16.93 


49.09 


17.14 


49.02 


17.36 


48.94 


17.57 


52 


53 


50.11 


17.26 


50.04 


17.47 


49.96 


17,69 


49,88 


17.91 


53 


54 


51.06 


17.58 


50.98 


17.80 


50.90 


18.03 


.50.82 


18.25 


54 


55 


52.00 


17.91 


51.92 


18.13 


51.85 


18,36 


51,76 


18, ,59 


55 


56 


52.95 


18.23 


52.87 


18.46 


52.79 


18,69 


52.71 


18.92 


56 


57 


53.89 


18.56 


53.81 


18.79 


53.73 


19,03 


.53 , 65 


19,26 


57 


58 


54.84 


18.88 


54.76 


19.12 


54.67 


19,36 


.54,-59 


19.60 


58 


59 


55.79 


19.21 


55.70 


19.45 


55.62 


19.69 


55,53 


19,94 


59 


60 
61 


56.73 


19.. 53 


56.65 


19.78 


56.56 
57.50 


20,03 
20.36 


56,47 


20,27 


60 
61 


57.68 


19.86 


57.59 


20,11 


.57,41 


20.61 


62 


58.62 


20.19 


58.-53 


20.44 


58.44 


20,70 


58.35 


20.95 


62 


63 


59.57 


20.51 


59.48 


20.77 


59.39 


21,03 


59.29 


21,29 


63 


64 


60.51 


20.84 


60.42 


21.10 


60.33 


21,36 


60,24 


21,63 


64 


65 


61.46 


21.16 


61.37 


21.43 


61.27 


21,70 


61,18 


21,96 


65 


66 


62.40 


21.49 


62.31 


21.76 


62.21 


22,03 


62,12 


22,30 


66 


67 


63.35 


21.81 


63.25 


22.09 


63.i6 


22,37 


63,06 


22.64 


67 


6S 


64.30 


22.14 


64.20 


22.42 


64.10 


22.70 


64.00 


22,98 


68 


69 


65.24 


22.40 


65.14 


22.75 


65.04 


23,03 


64.94 


23,32 


69 


70 
71 


66.19 


22.79 


66.09 


23.08 


65 . 98 


23.37 


65.88 
66.82 


23,65 


70 
71 


67.13 


23.12 


67.03 


23.41 


66.93 


23,70 


23,99 


72 


68.08 


23.44 


67.97 


23.74 


67.87 


24,03 


67.76 


24.33 


72 


73 


69.02 


23.77 


68.92 


24.07 


68.81 


24,37 


68.71 


24.67 


73 


74 


69.9? 


24.09 


69.86 


24.40 


69.76 


24,70 


69.65 


25,01 


74 


75 


70.91 


24.42 


70.81 


24.73 


70.70 


25.04 


70 . 59 


25,34 


75 


76 


71.86 


24.74 


71.75 


25.06 


71.64 


25.37 


71,. 53 


25 , 68 


76 


77 


72.80 


25.07 


72.69 


25.39 


72.58 


25.70 


72,47 


26.02 


77 


78 


73.75 


25.39 


73.64 


23.72 


73.53 


26.04 


73,41 


26.36 


78 


79 


74.70 125.72 


74.58 


26.05 


74.47 


26.37 


74,33 


26.70 


79 


80 
81 


75.64 126.05 


75.53 


26.38 


73,41 


26.70 


75.29 


27.03 


80 
81 


76.59 126.37 


76.47 


26.70 


"76.35 


27.04 


76.24 


27.37 


82 


77.53 


26.70 


77.42 


27.03 


77.30 


27,37 


77.18 


27.71 


82 


83 


78.48 


27.02 


78.36 


27.36 


78.24 


27,71 


78.12 


28 . 05 


83 


84 


79.42 


27.35 


79.30 


27.69 


79.18 


28,04 


79.06 


28. S9 


84 


85 


80.37 


27.67 


80 . 23 


28.02 


80.12 


28,37 


80.00 


28.72 


85 


86 


81.31 


28.00 


81.19 


28.35 


81.07 


28,71 


80.94 


29.06 


86 


87 


82.26 


28.33 


82.14 


28.68 


82,01 


29.04 


81.88 


29.40 


87 


88 


83.21 


28.65 


83.08 


29.01 


92.95 


29.37 


82.82 


29.74 


88 


89 


84.15 


28.98 


84.02 


29.34 


83.90 


29.71 


83.76 


30.07 


89 


90 
91 


85.10 


29.30 


84.97 


29.67 


84.84 


30.04 


84.71 


30,41 


90 
91 


86.04 


29.63 


85.91 


30.00 


85.78 


30.38 


85,65 


.30,75 


92 


86.99 


29.95 


86.86 


30.33 


86.72 


30.71 


86,59 


31,09 


92 


93 


87.93 


30.28 


87.80 


30.66 


87.67 


31.04 


87,53 


31.43 


93 


94 


88.88 


30.60 


88.74 


30.99 


88.61 


31.38 


8-8,47 


31,76 


94 


95 


89.82 


30.93 


89.69 


31. .32 


89.55 


31.71 


89.41 


32,10 


95 


96 


90.77 


31.25 


90.63 


31.65 


90.49 


32,05 


90.35 


32.44 


93 


97 


91.72 


31^58 


91.58 


31.98 


91,44 


32,38 


91.29 


32,78 


97 


98 


92.66 


31.91 


92.52 


32.31 


92.38 


32,71 


92.24 


33,12 


98 


1 


93.61 


32.23 


93.46 


32.64 


93.32 


33.05 


93.18 


33.45 


99 


94.55 


32.56 


94.41 


32.97 


94.26 


33,38 


94.12 


33 /?9 


100 

1 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


71 Deg. 


701 Deg. 


70iDeg. 


70i Deg. 



42 



TRAVERSE TABLE. 



a 
? 

1 


20 Deg. 


m Deg. 


20i 


Deg. 


201 Deg. 


I 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.94 


0.34 


0.94 


0,35 


0.94 


0.35 


0.94 


0.35 


2 


1.88 


0.68 


1.88 


0.69 


1.87 


0.70 


1.87 


0.71 


2 


3 


2.82 


1.03 


2.81 


1.04 


2.81 


1.05 


2.81 


1.06 


3 


4 


3.76 


1.37 


3.75 


1.38 


3.75 


1.40 


3.74 


1.42 


4 


5 


4.70 


1.71 


4.69 


1.73 


4.68 


1,75 


4.68 


1.77 


5 


6 


5.64 


2.05 


5.63 


2.08 


5,62 


2.10 


5.61 


2.13 


6 


7 


6.58 


2.39 


6.57 


2.42 


6,56 


2.45 


6.55 


2.48 


7 


8 


7.52 


2.74 


7.51 


2.77 


7,49 


2.80 


7.48 


2.83 


8 


9 


8.46 


3.08 


8.44 


3.12 


8.43 


3,15 


8.42 


3.19 


9 


10 
11 


9.40 


3.42 


9.38 


3.46 


9.37 


3.50 


9.35 


3., 54 


10 
11 


10.34 


3.76 


10.32 


3.81 


10.30 


3.85 


]0.29 


3.90 


12 


11.28 


4.10 


11.26 


4.15 


11.24 


4.20 


11.22 


4.25 


12 


13 


12.22 


4.45 


12.20 


4.50 


12.18 


4.55 


12.16 


4.61 


13 


14 


13.16 


4.79 


13.13 


4.85 


13.11 


4.90 


13.09 


4.96 


14 


15 


14.10 


5.13 


14.07 


5.19 


14,05 


5.25 


14.03 


5.31 


15 


16 


15.04 


5.47 


15.01 


5.54 


14.99 


5.60 


14.96 


5.67 


16 


17 


15.97 


5.81 


15.95 


5.i88 


15.92 


5.95 


15.90 


6.02 


17 


18 


16.91 


6.16 


16.89 


6.23 


16.80 


6.30 


16.83 


6.38 


18 


19 


17.85 


6 . 50 


17.83 


6.. 58 


17.80 


6.65 


17.77 


6.73 


19 


20 

21 


18.79 


6.84 
7.18 


18.76 


6.92 


18.73 
19.67 


7.00 
7.35 


18.70 


7.09 


20 
21 


19.73 


19.70 


7.27 


19.64 


7.44 


22 


20.67 


7.52 


20.64 


7.61 


20.61 


7.70 


20.. 57 


7.79 


22 


23 


21. CI 


7.87 


21.58 


7.96 


21.54 


8.05 


21,51 


8.15 


23 


24 


22.55 


8.21 


22.52 


8.31 


22.48 


8.40 


22,44 


8.50 


24 


25 


23.49 


8.55 


23.45 


8.65 


23.42 


8.76 


23.38 


8.86 


25 


26 


24.43 


8.89 


24.39 


9.00 


24.35 


9.11 


24.31 


9.21 


26 


27 


25.37 


9.23 


25.33 


9.35 


25.29 


9,46 


25.25 


9.57 


27 


28 


26.31 


9.58 


26.27 


9.69 


26.23 


9,81 


26.18 


9.92 


28 


29 


27.25 


9.92 


27.21 


10.04 


27.16 


10,16 


27,12 


10.27 


29 


30 
31 


28.19 


10.26 
10.60 


28.15 


10.38 


28,10 


10,51 


28,05 


10.63 
10.98 


30 
31 


29.13 


29.08 


10.73 


29,04 


10.86 


28,99 


32 


30.07 


10.94 


30.02 


11.08 


29.97 


11.21 


29.92 


11.34 


32 


33 


31.01 


11.29 


30.96 


11.42 


30.91 


11.56 


30,86 


11.69 


33 


34 


31.95 


11.63 


31.90 


11.77 


31.85 


U,91 


31.79 


12.05 


34 


35 32.89 


11.97 


32.84 


12.11 


32 . 78 


12.26 


32,73 


12.40 


35 


36 


33.83 


12.31 


33.77 


12.46 


33.72 


12.61 


33,66 


12.75" 


36 


37 


34.77 


12.65 


34.71 


12.81 


34.66 


12.96 


34.60 


13.11 


37 


38 


35.71 


13.00 


35.65 


13,15 


35.59 


13.31 


35 . 54 


13.46 


38 


39 


36.65 


13.34 


36.-59 


13.50 


36.. 53 


13.66 


36.47 


13.82 


39 


40 

41 


37.. 59 


13.68 


37., 53 


13.84 


37,47 


14.01 


37.41 


14.17 


40 
41 


38.53 


14.02 


38.47 


14.19 


38.40 


14.36 


38.34 


14.53 


42 


39.47 


14.36 


39.40 


14.54 


39.34 


14.71 


.39.28 


14.88 


42 


43 


40.41 


14.71 


40.34 


14,88 


40 . 28 


15,06 


40.21 


15.23 


43 


44 


41.35 


15.05 


41.28 


15.23 


41.21 


15.41 


41.15 


15.59 


44 


45 


42.29 


15.39 


42.22 


15.58 


42.15 


15.76 


42.08 


15.94 


45 


46 


43.23 


15.73 


43.16 


15.92 


43.09 


16.11 


43.02 


16.30 


46 


47 


44.17 


16.07 


44.09 


16.27 


44.02 


16.46 


43,95 


16.65 


47 


48 


45.11 


16.42 


45.03 


16.61 


44.96 


16.81 


44.89 


17.01 


48 


49 


46.04 


16.76 


4.'5.97 


16,96 


45,90 


17.16 


45.82 


17.36 


^49 


_50 

s 
1 
(5 


46.98 


17.10 


46.91 


17.31 


46,83 


17.51 


46.76 


17.71 


_50 

s 
1 
a 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


70 Deg. 


691 Deg. 


69i 


Deg. 


6H Deg. 



TK A VERSE TABLE. 



43 



2 

J 

51 


20 Deg. 


20i Deg. 


20^ Deg. 


201 Deg. 


O 

CD 

"51 


Lat. 


Dep. 


Lat. 


Dep. 
17.65 


Lat. 


Dep. 


Lat. 


Dep. 


47.92 


17.44 


1" . 35 


47.77 


17.86 


TTeT 


18.07 


52 


48.86 


17.79 


48.79 


18.00 


48.71 


18.21 


48.63 


18.42 


52 


53 


49.80 


18.13 


49.72 


18.34 


49.64 


18.56 


49.56 


18.78 


53 


54 


50.74 


18.47 


50.66 


18.69 


.50.58 


18.91 


50.50 


19.13 


54 


55 


51.68 


18.81 


51.60 


19.04 


51.52 


19.26 


51.43 


19.49 


55 


56 


52.62 


19.15 


52.54 


19.38 


52.45 


19.61 


52.37 


19.84 


56 


57 


53.56 


19.50 


53.48 


19.73 


53.39 


19.96 


53.30 


20.19 


57 


58 


54.50 


19.84 


54.42 


20.07 


54.33 


20.31 


54.24 


20.55 


58 


59 


55.44 


20.18 


55.35 


20.42 


55.26 


20.66 


55.17 


20.90 


59 


60 
61 


56.33 


20.. 52 


56.29 


20.77 


56.20 
57.14 


21.01 


56.11 


21.26 


60 
61 


57.32 


20.86 


57.23 


21.11 


21.36 


57.04 


21.61 


62 


58.26 


21.21 


58.17 


21.46 


.58.07 


21.71 


57.98 


21.97 


62 


63 


59.20 


21.55 


59.11 


21.81 


59.01 


22.06 


58.91 


22.32 


63 


64 


60.14 


21.89 


60.04 


22.15 


59.95 


22.41 


59.85 


22.67 


64 


65 


61.08 


22.23 


60.98 


22.50 


60.88 


22.76 


60.78 


23.03 


65 


66 


62.02 


22.57 


61.92 


22.84 


61.82 


23.11 


61.72 


23.38 


66 


67 


62.96 


22.92 


62.86 


23.19 


62.76 


23.46 


62.65 


23.74 


67 


68 


63.90 


23.26 


63.80 


23.54 


63.69 


23.81 


63.59 


2^1.09 


68 


69 


64.84 


23.60 


64.74 


23.88 


64.63 


24.16 


64.52 


24.45 


69 


70 
71 


65.78 


23.94 


65.67 


24.23 


65.57 


24.51 


65.46 


24.80 


70 
71 


66.72 


24.28 


66.61 


24.57 


66.50 


24.86 


66.39 


25.15 


72 


67.66 


24.63 


67.55 


24.92 


67.44 


25.21 


67.33 


25.51 


72 


73 


68.60 


24.97 


68.49 


25.27 


68.38 


25.57 


68.26 


25.86 


73 


74 


69.54 


25.31 


69.43 


25.61 


69.31 


25.92 


69.20 


26.22 


74 


75 


70.48 


25.65 


70.36 


25.96 


70.25 


26.27 


70.14 


26.57 


75 


76 


71.42 


25.99 


71.30 


26.30 


71.19 


26.62 


71.07 


26.93 


76 


77 


72.36 


26.34 


72.24 


26.65 


72.12 


26.97 


72.01 


27.28 


77 


78 


73.30 


26.68 


73.18 


27.00 


73.06 


27.32 


72.94 


27.63 


78 


79 


74.24 


27.02 


74.12 


27.34 


74.00 


27.67 


73.88 


27.99 


79 


80 
81 


75.18 


27.36 


75.06 


27.69 


74.93 


28.02 


74.81 


28.34 


80 
81 


76.12 


27.70 


75.99 


28.04 


75.87 


28.37 


75.75 


28.70 


82 


77.05 


28.05 


76.93 


28.38 


76.81 


28.72 


76.68 


29.05 


82 


83 


77.99 


28.39 


77.87 


28.73 


77.74 


29.07 


77.62 


29.41 


83 


84 


78.93 


28.73 


78.81 


29.07 


78.68 


29.42 


78.55 


29.76 


84 


85 


79.87 


29.07 


79.75 


29.42 


79.62 


29.77 


79.49 


30.11 


85 


86 


80.81 


29.41 


80.68 


29.77 


80.55 


30.12 


80.42 


30.47 


86 


87 


81.75 


29.76 


81.62 


30.11 


81.49 


30.47 


81.36 


30.82 


87 


88 


82.69 


30.10 


82.56 


30.46 


82.43 


30.82 


82.29 


31.18 


88 


89 


83.63 


30.44 


83.50 


30.80 


83.36 


31.17 


83.23 


31.53 


89 


90 
91 


84.57 


30.78 


84.44 


31.15 


84.30 


31.52 


84.16 


31.89 


90 
91 


85.51 


31.12 


85.. 38 


31.5'b 


85.24 


31.87 


85.10 


32 . 24 


92 


86.45 


31.47 


86.31 


31.84 


86.17 


32.22 


86.03 


32.59 


92 


93 


87.39 


31.81 


87.25 


32.19 


87.11 


32.57 


86.97 


32 . 95 


93 


94 


88.33 


32.15 


88.19 


32.54 


88.05 


32.92 


87.90 


33.30 


94 


95 


89.27 


32.49 


89.13 


32.88 


88.98 


33.27 


88.84 


33.66 


95 


96 


90.21 


32.83 


90.07 


33.23 


89.92 


33.62 


89.77 


34.01 


96 


97 


91.15 


33.18 


91.00 


33.57 


90.86 


33.97 


90.71 


34.37 


97 


98 


92.09 


33.52 


91.94 


33.92 


91.79 


34.32 


91.64 


.34.72 


98 


99 


93.03 


33.86 


92.88 


34.27 


92.73 


34.67 


92.58 


35.07 


99 


100 


93.97 


34.20 


93.82 


34.61 


93.67 


35.02 


93.51 


35.43 


100 

1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


70 Deg. 


69i Deg. 


69A Deg. 


69i Deg. 



TRJLVERSS TABLE. 



1 

1 


21Deg. ] 


21i Deg. 


211 Deg. 


21i Deg. 


f 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.93 


0.36 


0.93 


0.36 


0.93 


0.Z7 


0.93 


0.37 


~T 


% 


1.87 


0.72 


1.86 


0.72 


1.86 


0.73 


1.86 


0.74 


2 


3 


2.80 


1.08 


2.80 


1.09 


2.79 


1.10 


2.79 


1.11 


3 


4 


3.73 


1.43 


3.73 


1.45 


3.72 


1.47 


3.72 


1.48 


4 


5 


4.67 


1.79 


4.66 


1.81 


4.65 


1.83 


4.64 


1.85 


5 


6 


5.60 


2.15 


5.59 


2.17 


5.58 


2.20 


5.57 


2.22 


6 


7 


6.54 


2.51 


0.52 


2.54 


6.51 


3.57 


6.50 


2.59 


7 


8 


7.47 


2.87 


7.46 


2.90 


7.44 


2.93 


7.43 


2.96 


8 


9 


8.40 


3.23 


8.39 


3.26 


8.37 


3.30 


8.36 


3.34 


9 


10 
11 


9.34 


3.58 


9.32 


3.62 


9.30 


3.67 


9.29 


3.71 


10 


10.27 


3.94 


10.25 


3.99 


10.23 


4.03 


10.22 


4.08 


11 


12 


11.20 


4.30 


11.18 


4.35 


11.17 


4.40 


11.15 


4.45 


12 


13 


12.14 


4.66 


12.12 


4.71 


12.10 


4.76 


12.07 


4.82 


13 


14 


13.07 


5.02 


13.05 


5.07 


13.03 


5.13 


13.00 


5.19 


14 


15 


14.00 


5.38 


13.98 


5.44 


13.96 


5.50 


13.93 


5.56 


15 


16 


14.94 


5.73 


14.91 


5.80 


14.89 


5.86 


14.86 


5.93 


16 


17 


15.87 


6.09 


15.84 


6.16 


15.82 


6.23 


15.79 


6.30 


17 


18 


16.80 


6.45 


16. fS 


6.52 


16.75 


6.60 


16.72 


6.67 


18 


19 


17.74 


6.81 


17.71 


6.89 


17.68 


6.96 


17.65 


7.04 


19 


20 


18.67 


7.17 


18.64 


7.25 


18.61 


7.33 


18..'>8 


7.41 


20 


21 


19.61 


7.53 


19.57 


7.61 


19.54 


7.70 


19.50 


7.78 


21 


22 


20.54 


7.88 


20.50 


7.97 


20.47 


8.06 


20.43 


8.15 


22 


23 


21.47 


8.24 


21.44 


8.34 


21.40 


8.43 


21.36 


8.52 


23 


24 


22.41 


8.60 


22.37 


8.70 


22.33 


8.80 


22.29 


8,89 


24 


25 


23.. 34 


8.96 


23.30 


9.06 


23.26 


9.16 


23.22 


9.26 


25 


26 


24.27 


9.32 


24.23 


9.42 


24.19 


9.53 


24.15 


9.63 


26 


27 


25.21 


9.68 


25.16 


9.79 


25.12 


9.90 


25.08 


10.01 


27 


28 


26.14 


10.03 


26.10 


10.15 


26.05 


10.26 


26.01 


10.38 


28 


29 


27.07 


10.39 


27.03 


10.51 


26.98 


10.63 


26.94 


10.75 


29 


30 
31 


28.01 


10.75 


27.96 


10.87 


27.91 


11.00 


27.86 


11.12 


30 


28.94 


11.11 


28.89 


11.24 


28.84 


11.36 


28.79 


11.49 


31 


32 


29.87 


11.47 


29.82 


11.60 


29.77 


11.73 


29.72 


11.86 


32 


33 


30.81 


11.83 


30.76 


11.96 


30.70 


12.09 


30.65 


12.23 


33 


34 


31.74 


12.18 


31.69 


12.32 


31.63 


12.46 


31.58 


12.60 


34 


35 


32.68 


12.54 


,32.62 


12.69 


32.56 


12.83 


32.51 


12.97 


35 


36 


33.61 


12.90 


33.55 


13.05 


33.50 


13.19 


33.44 


13.34 


36 


37 


34.54 


13.26 


34.48 


13.41 


34.43 


13.56 


34.37 


13.71 


37 


38 


35.48 


13.62 


35.42 


13.77 


35.36 


13.93 


35.29 


14.08 


38 


39 


36. 4J 


]3.98 


36.35 


14.14 


36.29 


14.29 


36.22 


14.45 


39 


40 
41 


37.34 


14.33 


37.28 


14.50 


37.22 


14.66 


37.15 


14.82 


40 
41 


38.28 


14.69 


38.21 


14.86 


38.15 


15.03 


38.08 


15.19 


42 


39.21 


15.05 


39.14 


15.22 


39.08 


15.39 


39.01 


15.56 


42 


43 


40.14 


15.41 


40.08 


15.58 


40.01 


15.76 


39.94 


15.93 


43 


44 


41.08 


15.77 


41.01 


15.95 


40.94 


16.13 


40.87 


16.30 


44 


45 


42.01 


16.13 


41.94 


16.31 


41.87 


16.49 


41.80 


16.68 


45 


46 


42.94 


16.48 


42.87 


16.67 


42.80 


16.86 


42.73 


17.P5 


46 


47 


43.88 


16.84 


43.80 


17.03 


43.73 


17.23 


43.65 


17.42 


47 


48 


44.81 


17.20 


44.74 


17.40 


44.66 


17.59 


44.58 


17.79 


48 


49 


45.75 


17.56 


45.67 


17.76 


45.59 


17.96 


45.51 


18.16 


49 


JO 


46.68 


17.92 


46.60 


18.12 


46.52 


18.33 


46.44 


18,53 


50 


1 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Q 


69 Deg. 


681 Deg. 


68i Deg. 


68i Deg. 



TRAVERSE TABLE. 



45 



p 

51 


21 Deg. 


2Ii Deg. 


2HD6g. 1 


21} Deg. 






Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 




47.61 


18.28 


47.53 


18.48 


47.45 


18.69 


47.37 


18.90 


51 




52 


48.55 


18.64 


48.46 


18.85 


48.. 38 


19.06 


48.30 


19.27 


52 




53 


49.48 


18.99 


49.40 


19,21 


49.31 


19 42 


49.23 


19.64 


53 




54 


50.41 


19.35 


50.33 


19.57 


50.24 


19.79 


50.16 


20.01 


54 




55 


51.35 


19.71 


51.26 


19.93 


51.17 


20,16 1 


51.08 


20.38 


55 




56 


52.28 


20.07 


52.19 


20.30 


.52.10 


20.52 


52.01 


20.75 


56 




57 


53.21 


20.43 


53.12 


20,66 


53.03 


20.89 


.52.94 


21.12 


57 




58 


54.15 


20 . 79 


.54.06 


21.02 


53.96 


21.26 


.53.87 


21.49 


58 




59 


55.08 


21.14 


54.99 


21.38 


54.89 


21.62 


54.80 


21.86 


59 




60 
61 


56.01 


21.50 


.55.92 


21.75 


55,83 


21.99 


55 . 73 


22.23 


60 
61 




56.95 


21.86 


56.85 


22.11 


56,76 


22 . 36 


56.66 


22.60 




62 


57.88 


22.22 


57.78 


22.47 


57.69 


22 . 72 


57.59 


22.97 


62 




63 


58.82 


22.58 


58.72 


22,83 


58 . 62 


23.09 


.58.52 


23.35 


63 




64 


59.75 


22 . 94 


59.65 


23.20 


59.. 55 


23.46 


59.44 


23.72 


64 




65 


60.68 


23.29 


60.58 


23.56 


60.48 


23.82 


60.37 


24.09 


65 




66 


61.62 


23.65 


61.51 


23.92 


61.41 


24.19 


61.30 


24.46 


66 




67 


62.55 


24.01 


62.44 


24.28 


62.34 


24.. 56 


62.23 


24.33 


67 




68 


63.48 


24.37 


63.38 


24.65 


63.27 


24.92 


63.16 


25.20 


68 




69 


64.42 


£•4.73 


64.31 


25.01 


64.20 


25.29 1 64.09 


25.57 


69 




70 
71 


65.35 


25.09 


65.24 
66 . 17 


25.37 
25.73 


65.13 


25.66 


65.02 


25.94 


70 
71 




66.28 


25.44 


66.06 


26.02 


65.95 


26.31 




72 


67.22 


25.80 


67.10 


26.10 


66.99 


26.39 


66.87 


26.68 


72 




73 


68.15 


26.16 


68.04 


26.46 


67.92 


26.75 


67.80 


27.05 


73 




74 


69.08 


26.52 1 


68.97 


26.82 


68.85 


27.12 


68.73 


27.42 


74 




75 


70.02 


26.88 


69.90 


27.18 


69.78 


27.49 


69.66 


27.79 


75 




76 


70.95 


27.24 


70.83 


27.55 


70.71 


27.85 


70.59 


28.16 


76 




77 


71.89 


27.59 


71.76 


27.91 


71.64 


28.22 


71.52 


28.53 


77 




78 


72.82 


27.95 


72.70 


28.27 


72.57 


28.59 


72.45 


28,90 


78 




79 


73.75 


28.31 


73.63 


28.63 


73.50 


28.95 


73.38 


29.27 


79 




80 
81 


74.69 


28.67 
29.03 


74.56 


29.00 


74.43 


29.32 


74.30 
75,23 


29.64 
30.02 


80 

81 




75.62 


75.49 


29.38 


75.36 


29.69 




82 


76.55 


29.39 


76.42 


29.72 


76.29 


30.05 


76.16 


30.39 


82 




83 


77.49 


29.74 


77.36 


30.08 


77.22 


30.42 


77.09 


30.76 


83 




84 


78.42 


30.10 


78.29 


30.44 


78.16 


30.79 


78.02 


31.13 


84 




85 


79.35 


30.46 


79.22 


30.81 


79.09 


31.15 


78.95 


31.50 


85 




86 


80.29 


30.82 


80.15 


31.17 


80.02 


31.52 


79.88 


31.87 


86 




87 


81.22 


31.18 


81.08 


31.53 


80.95 


31.89 


80.81 


32.24 


87 




88 


82.16 


31.54 


82.02 


31.89 


81.88 


32.25 


81.74 


32.61 


88 




89 


83.09 


31.89 


82.95 


32.26 


82.81 


32.62 


82.66 


32.98 


89 




90 
91 


84.02 


32.25 


83.88 


32.62 


83.74 


32.99 


83.59 


33.35 


80 




84.96 


32.61 


84.81 


32.98 


84.67 


33.35 


84.52 


33.72 




92 


85.89 


32.97 


85.74 


33.34 


85.60 


33.72 


85,45 


34.09 


92 




93 


86,82 


33.33 


86.68 


33.71 


86.. 53 


34.08 


86,, 38 


34.46 


93 




94 


87.76 


33.89 


87.61 


34,07 


87,46 


34.45 


87.31 


34.83 


94 




95 


88.69 


34.04 


88.54 


34.43 


88.39 


34.82 


88.24 


35.20 


95 




96 


89.62 


34.40 


89.47 


34.79 


89.32 


35 . 18 


89.17 


35.57 


96 




97 


90.56 


34.76 


90.40 


35.16 


90.25 


.35.55 


90.09 


35.94 


97 




98 


91.49 


35.12 


91.34 


35.52 


91.18 


35.92 


91.02 


36.31 


98 




99 


92.42 


35.48 


92.27 


35.88 


! 92.11 


36.28 


91.95 


36.69 


qq 




100 


93.36 


35.84 


93.20 


36.24 li 93.04 


36.65 


92.88 


37,06 


100 

d 

Q 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. Lat, 




69 Deg. 


681 Deg. 


68i Deg. 


68i Deg. 





46 



TRAVERSE TABLE. 



1' 


22 


Deg. 


22i Deg. 


22| 


Deg. 


221 Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.93 


0.37 


0.93 


0.38 


0.92 


0.38 


0.92 


0.39 


2 


1.85 


0.75 


1.85 


0.76 


1.85 


0.77 


1.84 


0.77 


2 


3 


2.78 


1.12 


2. 73 


1.14 


2.77 


1.15 


2.77 


1.16 


3 


4 


3.71 


1.50 


3.70 


•1.51 


3.70 


1 . 53 


3.69 


1.55 


4 


5 


4.64 


1.87 


4.63 


1.89 


4.62 


1.91 


4.61 


1.93 


5 


6 


5.56 


2.25 


5.55 


2.27 


5.54 


2.30 


5.53 


2.32 


6 


7 


6.49 


2.62 


6.48 


2.65 


6.47 


2.68 


6.46 


2.71 


7 


8 


7.42 


3.00 


7.40 


3.03 


7.39 


3.06 


7.38 


3.09 


8 


9 


8.34 


3.37 


8.33 


3.41 


8.31 


3.44 


8.30 


3.48 


9 


10 


9.27 


3.75 


9.26 


3.79 


9.24 


3.83 


9.22 


3.87 


10 


11 


10.20 


4.12 


10.18 


4.17 


10.16 


4.21 


10.14 


4.25 


11 


12 


11.13 


4.50 


11.11 


4.54 


11.09 


4.59 


11.07 


4.64 


12 


13 


12.05 


4.87 


12.03 


4.92 


12.01 


4.97 


11.99 


5.03 


13 


14 


12.98 


5.24 


12.96 


5.30 


12.93 


5.36 


12.91 


5.41 


14 


15 


13.91 


5.62 


13.88 


5.68 


13.86 


5.74 


13.83 


5.80 


15 


16 


14.83 


5.99 


14.81 


6.06 


14.78 


6.12 


14.76 


6.19 


16 


17 


15.76 


6.37 


15.73 


6.44 


15.71 


6.51 


15.68 


6.57 


17 


18 


16.69 


6.74 


16.66 


6.82 


16.63 


6.89 


16.60 


6.96 


18 


19 


17.62 


7.12 


17.59 


7.19 


17.55 


7.27 


17.52 


7.35 


19 


20 
21 


18.54 


7.49 


18.51 


7.57 


18.43 


7.65 


18.44 


7.73 


20 


19.47 


7.87 


19.44 


7.95 


19.40 


8.04 


19.37 


8.12 


21 


22 


20.40 


8.24 


20.36 


8.33 


20.33 


8.42 


20.29 


8.51 


22 


23 


21.33 


8.62 


21.29 


8.71 


21.25 


8.80 


21.21 


8.89 


23 


24 


22.25 


8.99 


22.21 


9.09 


22.17 


9.18 


22.13 


9.28 


24 


25 


23.18 


9.37 


23.14 


9.47 


23.10 


9.57 


23.05 


9.67 


25 


26 


24.11 


9.74 


24.06 


9.84 


24.02 


9.95 


23 . 98 


10.05 


26 


27 


25.03 


10.11 


24.99 


10.22 


24.94 


10.33 


24.90 


10.44 


27 


28 


25.96 


10.49 


25.92 


10.60 


25.87 


10.72 


25.82 


10.83 


28 


29 


26.89 


10.86 


26.84 


10.98 


26.79 


11.10 


26.74 


11.21 


29 


30 


27.82 


11.24 


27.77 


11.36 


27.72 


11.48 


27.67 


11.60 


30 


31 


28.74 


11.61 


28.69 


11.74 


28.64 


11.86 


28.59 


11.99 


31 


32 


29.67 


11.99 


29.62 


12.12 


29.56 


12.25 


29.51 


12.37 


32 


33 


30.60 


12.36 


30.54 


12.50 


30.49 


12.63 


30.43 


12.76 


33 


34 


31.. 52 


12.74 


31.47 


12.87 


31.41 


13.01 


31.35 


13.15 


34 


35 


32.45 


13.11 


32.39 


13.25 


32.34 


13.39 


32.28 


13.53 


35 


36 


33.38 


13.49 


33.32 


13.63 


33.26 


13.78 


33.20 


13.92 


36 


37 


34.31 


13.86 


34.24 


14.01 


34.18 


14.16 


34.12 


14.31 


37 


38 


35.23 


14.24 


35.17 


14.39 


35.11 


14.54 


35 . 04 


14.70 


38 


39 


36.16 


14.61 


36.10 


14.77 


36.03 


14.92 


35.97 


15.08 


39 


40 


37.09 


14.98 


37.02 


15.15 


36.96 


15.31 


36.89 


15.47 


40 


41 


38.01 


15.36 


37.95 


15.52 


37.88 


15.69 


37.81 


15.86 


41 


42 


38.94 


15.73 


38.87 


15.90 


38.80 


16.07 


38.73 


16.24 


42 


43 


39.87 


16.11 


39.80 


16.28 


39.73 


16.46 


39.65 


16.63 


43 


44 


40.80 


16.48 


40.72 


16.66 


40.65 


16.84 


40.58 


17.02 


44 


45 


41 . 72 


16.86 


41.65 


17.04 


41.57 


17.22 


41.50 


17.40 


45 


46 


42.65 


17.23 


42.57 


17.42 


42.50 


17.60 


42.42 


17.79 


46 


47 


43.58 


17.61 


43.50 


17.80 


43.42 


17.99 


43.34 


18.18 


47 


48 


44.50 


17.98 


44.43 


18.18 


44.35 


18.37 


44.27 


18.56 


48 


49 


45.43 


18.36 


45.35 


18.55 


45.27 


18.75 


45.19 


18.95 


49 


60 


46.36 


18.73 


46.28 


18.93 


46.19 


19.13 


46.11 


19.34 


_5i 


1 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




68 Deg. 


671 Deg. 


67} 


Deg. 


67i Deg. 



TKAVKRSE TABLE. 



47 



1 

51 


22Deg. 


m Deg. 


22i Deg. 


221 Deg. 


? 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


47,29 


19.10 


47.20 


19. 3i 


47.12 


19.52 


47,03 


19.73 


52 


48.21 


19.48 


48.13 


19.69 


48.04 


19.90 


47.95 


20.11 


52 


53 


49.14 


1?.85 


49.05 


20.07 


48.97 


20.28 


48.88 


20.50 


53 


54 


50.07 


20.23 


49.98 


20.45 


49.89 


20.66 


49.80 


20.88 


54 


55 


51.00 


20.60 


50.90 


20.83 


50.81 


21.05 


.50.72 


21.27 


55 


56 


51.92 


20.98 


51.83 


21.20 


51.74 


21.43 


51.64 


21.66 


56 


57 


52.85 


21.35 


52.76 


21.58 


.52.66 


21.81 


52.57 


22.04 


57 


58 


53.78 


21.73 


53.68 


21.96 


53.59 


22.20 


.53.49 


22.43 


58 


59 


154.70 


22.10 


54.61 


22.34 


54.51 


22.. 58 


.54.41 


22.83 


59 


60 
61 


55.63 


22.48 


55.53 


22.72 


55.43 


22.96 


55.33 


23.20 


60 
61 


56.56 


22.85 


56.47 


23.10 


56.36 


23.34 


56.25 


23.-59 


63 


57.49 


23.23 


57.38 


23.48 


57.28 


23.73 


57.18 


23.98 


62 


63 


58.41 


23.60 


58.31 


23.85 


58.20 


24.11 


58.10 


24.36 


63 


64 


59.34 


23.97 


.59.23 


24.23 


59.13 


24.49 


59.02 


24.75 


64 


65 


60.27 


24.35 


60.16 


24.61 


60.05 


24.87 


59.94 


25.14 


65 


66 


61.19 


24.72 


61.09 


24.99 


60.98 


25.26 


60.87 


25.52 


66 


67 


62.12 


25.10 


62.01 


25 .37 


61.90 


25.64 


61.79 


25.91 


67 


68 


63.05 


25.47 


62.94 


25.75 


62.82 


26.02 


62.71 


26.30 


68 


69 


63.98 


25.85 


63.86 


26.13 


63.75 


26.41 


63.63 


26.68 


69 


70 
71 


64.90 


26.22 


64.79 


26.51 


64.67 


26.79 


64.55 


27.07 


70 
71 


65.83 


26.60 


65.71. 


26.88 


65.60 


27.17 


65.48 


27.46 


72 


66.76 


26.97 


66.64 


27.26 


66.52 


27.55 


66.40 


27.84 


72 


73 


67.68 


27.35 


67.56 


27.64 


67. -14 


27.94 


67.32 


38.23 


73 


74 


68.61 


27.72 


68.49 


28.02 


68.37 


28.32 


68.24 


28.62 


74 


75 


69.54 


28.10 


69.42 


28.40 


69.29 


28.70 


69.17 


29.00 


75 


76 


70.47 


28.47 


70.34 


28.78 


70.21 


29.08 


70.09 


29.39 


76 


77 


71.39 


28.84 


71.27 


29.16 


71.14 


29.47 


71.01 


29.78 


77 


78 


72.32 


29.22 


72.19 


29.53 


72.06 


29.85 


71.93 


30.16 


78 


79 


73.25 


29.59 


73.12 


29.91 


72.99 


30.23 


72.85 


30.55 


79 


80 
81 


74.17 


29.97 


74.04 


30.29 


73.91 


30.61 


73.78 


30.94 


80 
81 


75.10 


30.34 


74.97 


30.67 


74.83 


31.00 


74.70 


31.32 


82 


76.03 


30.73 


75.89 


31.05 


75.76 


31.38 


75.62 


31.71 


82 


83 


76.96 


31.09 


re. 82 


31.43 


76.68 


31.76 


76.54 


32.10 


83 


84 


77.88 


31.47 


77.75 


31.81 


77.61 


32.15 


77.46 


32.48 


84 


85 


78.81 


31.84 


78.67 


32.19 


78.53 


32.53 


78.39 


32.87 


85 


86 


79.74 


32.22 


79.60 


32.56 


79.45 


32.91 


79.31 


33.26 


86 


87 


80.66 


32.59 


80.52 


32.94 


80.38 


33.29 


80.23 


33.64 


87 


88 


81.. 59 


32.97 


81.45 


33.32 


81.30 


33.68 


81.15 


34.03 


88 


89 


82.52 


33.34 


82.37 


.33.70 


82.23 


34.06 


82.08 


34.42 


89 


90 
91 


83.45 


33.71 


83.30 


34.08 


83.15 


34.44 


83.00 


34.80 


90 
91 


84.37 


34.09 


84.22 


34.46 


84.07 


34.82 


83.92 


35.19 


92 


85.30 


34.46 


85.15 


34.84 


85.00 


35.21 


84.84 


35.58 


92 


93 


86.23 


34.84 


86.08 


35.21 


85.92 


35.59 


85.76 


35.96 


93 


94 


87.16 


35.21 


87.00 


35.59 


86.84 


35.97 


86.69 


36.35 


94 


95 


88.08 


35.59 


87.93 


35.97 


87.77 


36.35 


87,61 


36.74 


95 


96 


89.01 


35.96 


88.85 


36.35 


88.69 


36.74 


88,53 


37.12 


96 


97 


89.94 


36.34 


89.78 


36.73 


89.62 


37.12 


89.45 


37.51 


97 


98 


90.86 


36.71 


90.70 


37.11 


90.54 


37.50 


90.38 


37.90 


98 


99 


91.79 
92*72 


37.09 


91.63 


37,49 


91.46 


37.89 


91.30 


38.28 


99 


100 

T 

.2 
Q 


37.46 


92.. 55 


37.86 


92.39 


38.27 


92.22 


38.67 


100 

s 

1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


68 Deg. 


671 Deg. 


67} Deg. 1 


67i Deg. 



48 



TRAVERSE TABLE. 





a 


23 Deg. 


23iDeg. [1 


2^ De.g. 


23i Deg, 


O 




r . 


I 


t! 






1" 






Lat. 


Dep. 


Lat. 


Dep, 


Lat. 


Dep. 


Lat, 


Dep. 






1 


0,92 


0.39 


0.92 


0.39 


0,92 


0.40 


0,92 


0,40 


~T 




2 


1.84 


0.78 


1.84 


0,79 


1.83 


0.80 


1.83 


0.81 


2 




3 


2.76 


1.17 


2.76 


1,18 


2,75 


1.20 


2:^75 


1,21 


3 




4 


3.68 


1,56 


3.68 


1,58 


3,67 


1.59 


3,66 


1,61 


4 




5 


4.60 


1.95 


4.59 


1.97 


4,59 


1.99 


4.58 


2,01 


5 




6 


5.52 


2.34 


5.51 


2.37 


5,50 


2.39 


5.49 


2,42 


6 




7 


6.44 


2.74 


6.43 


2.76 


6.42 


2.79 


6.41 


2,82 


7 




8 


7.36 


3.13 


7.35 


3.16 


7.34 


3.19 


7.32 


3.22 


8 




9 


8.28 


3.52 


8.27 


3.55 


8.25 


3.59 


8.24 


3.62 


9 




10 


9.20 


3.91 


9.10 


3.95 


9.17 


3.99 


9.15 


4.03 


10 




11 


10.13 


4.30 


10.11 


4.34 


10.09 


4.39" 


10.07 


4.43 


11 




12 


11.05 


4.69 


11,03 


4,74 1 


11.00 


4.78 


10.98 


4.83 


12 




13 


11.97 


5.08 


11.94 


5,13 


11.92 


5.18 


11.90 


5.24 


13 




14 


12.89 


5.47 


12.86 


5.53 


12.84 


5.58 


12.81 


5.64 


14 




15 


13.81 


5.86 


13.78 


5,92 


13.76 


5.98 


13.73 


6.04 


15 




16 


14.73 


6.25 


14.70 


6,32 


14.67 


6.38 


14.64 


6.44 


16 




17 


15.65 


6.64 


15.62 


6,71 


15.59 


6.78 


15.. 56 


6.85 


17 




18 


16.57 


7.03 


16.54 


7,11 


16.51 


7.18 


16.48 
17.39 


7.25 


18 




19 


17,49 


7.42 


17.48 


7,50 


17.42 


'7.58 


7.65 


19 




20 


18.41 


7.81 


18.38 


7,89 


18.34 


7 07 


18.31 


8.05 


20 
" 21 




21 


19.33 


8.21 1 


19.29 


8,29 


19.26 


8.. 37 


19.22 


8.46 




22 


20.25 


8.60 1 20.21 


8,68 


20.18 


8.77 


20.14 


8.86 


22 




23 


21.17 


8.99 21.13 


9,08 


21.09 


9.17 


21.05 


9,26 


23 




24 


22.09 


9.38 '22.05 


9,47 


22.01 


9.57 


21.97 


9,67 


24 




25 


23.01 


9.77 


22,97 


9.87 


22.93 


9.97 


22.88 


10.07 


25 




26 


23.93 


10.16 


23,89 


10,26 


23.84 


10.37 


23.80 


10.47 


26 




27 


24.85 


10.55 


24,81 


10,66 


24.76 


10.77 


24.71 


10,87 


27 




28 


25.77 


10.94 


25,73 


11.05 


25.68 


11.16 


25.63 


11,28 


28 




29 


26.69 


11.33 


26,64 


11.45 


26.59 


11.56 


26.54 


11,68 


29 




30 
31 


27.62 


11.72 |] 27.56 


11,84 


27.51 


11.96 


27.46 


12,08 


30 




28.54 


12.11 


128.48 


12.24 


28.43 


12.36 


28.37 


12,49 


31 




32 


29.46 


12.50 


29.40 


12.63 


29.35 


12.76 


29.29 


12,89 


32 




83 


30.38 


12.89 


30.32 


13.03 


30.26 


13.16 


30.21 


13,29 


33 




34 


31,30 


13.28 


31.24 


13.42 


31.18 


13.56 


31.12 


13,69 


34 




35 


32.22 


13.68 


32.16 


13.82 


32.10 


13.96 


32.04 


14,10 


35 




36 


33.. 14 


14.07 


33.08 


14.21 


33.01 


14.35 


32.95 1 14,50 


36 




37 


34.06 


14,46 


34.00 


14.61 


,33.93 


14.75 


33,87 1 14,90 


37 




38 


34,98 


14.85 


34,91 


15.00 


34.85, 15.15 


34.78 


15,30 


38 




39 


35.90 


15.24 


35,83 


15.39 


35.77 


15.55 


35.70 


15,71 


39 




40 


36.82 


15.63 


36,75 


15,79 


36.68 


15.95 


36.61 


16,11 


40 

41 




41 


37.74 


16.02 


37,67 


16,18 


37.60 


16.35 


37.53 


16,51 




42 


38.66 


16.41 


38.5a 


16,58 


38.. 52 


16.75 


38.44 


16,92 


42 




43 


39.58 


16,80 


39.51 


16.97 


39.43 


17.15 


39.36 


17,32 


43 




44 


40.50 


17.19 


40.4? 


17,37 


40,35 


17.54 


40.27 


17,72 


44 




45 141.42 


17. .58 


41.3.' 


17.76 


41.27 


17.94 


41.19 


18.12 


45 




46 42.34 


17.97 


42.26 1 18.16 


42.18 


18.34 


42.10 


18.53 


46 




47 43.26 


18.36 


43.18 ' 18.55 


43.10 


18.74 


43.02 


13.93 


47 




48 44.18 


18.76 


44.10 18.95 


44.02 1 19,14 


43.93 


19.33 


48 




49 145.10 


19.15 


145.02 19.34 


44.94 19.54 


44.85 


Id. 73 


49 




50 46.03 


19.54 


!! 45.94 19.74 


45.85 1 19.94 


45.77 


20.14 


50 




g 
1 


! Dep. 


Lat. 


1 Dep. j Lat, 


Dep. I Lat. 


1 Dep. 


Lat. 


i 






j 


1 


1 


m 







67 


Deg. 


1] 66 


IDeg. 


1 «^^ 


Deg. 


1 66^ 


Deg. 


Q 



TBAVER3E TABLE. 



49 





1 


23 Deg. 


23iDeg. 


23i Deg. 


23| Deg. 


2 

"51 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




46.95 


19.93 


46.86 


20.13 


46.77 


20.34 


46.68 


20.54 




52 


47.87 


20.32! 


47.78 


20.53 


47.69 


20.73 


47.60 


20.94 


52 




53 


48.79 


20.71 


48.70 


20.92 


48.60 


21.13 


48.51 


21.35 


53 




54 


49.71 


21.10 


49.61 


21.32 


49.52 


21.53 


49.43 


21.75 


54 




55 


50.63 


21.49 


50.53 


21.71 


50.44 


21.93 


50.34 


22.15 


55 




56 


51.55 


21.88 


51.45 


22.11 


51.36 


22.33 


51.26 


22.55 


56 




57 


52.47 


22.27 


52.37 


22.50 


52.27 


22.73 


52.17 


22.96 


57 




58 


53.39 


22.66 


53.29 


22.90 


53.19 


23.13 


53.09 


23.36 


58 




59 


54.31 


23.05 


54.21 


23.29 


54.11 


23.53 


54.00 


23.76 


59 




60 
61 


.55.23 


23.44 


55.13 
56.05 


23.68 
24,08 


55.02 


23.92 


54.92 


24.16 


60 




56.15 


23.83 


55.94 


24.32 


55.83 


24.57 


61 




62 


57.07 


24.23 


56.97 


24.47 


56.86 


24.72 


56.75 


24.97 


62 




63 


57.99 


24.62 


57.88 


24.87 


57.77 


25.12 


.57.66 


25.37 


63 




64 


58.91 


25.01 


58.80 


25.26 


58.69 


25.52 


58.58 


25.78 


64 




65 


59.83 


25.40 


59.72 


25.66 


59.61 


25.92 


59.50 


26.18 


65 




66 


60.75 


25.79 


60.64 


26.05 


60.53 


26.32 


60.41 


26.58 


66 




67 


61.67 


26.18 


61.56 


26.45 


61.44 


20.72 


61.33 


26.98 


67 




63 


62.59 


26.57 


62.48 


26.84 


62.36 


27.11 


62.24 


27.39 


68 




69 


63.51 


26.96 


63.40 


27.24 


63.28 


27.51 


63.16 


27.79 


69 




70 
71 


64.44 


27.35 


64.32 


27.63 


64.19 


27.91 


64.07 
64.99 


28.19 


70 




65.36 


27.74 


65.23 


28.03 


65.11 


28.31 


28.59 


71 




72 


66.28 


28.13 


66.15 


28.42 


66.03 


28.71 


65.90 


29.00 


72 




73 


67.20 


28.52 


67.07 


28.83 


66.95 


29.11 


66.82 


29.40 


73 




74 


68.12 


28.91 


67.99 


29.21 


67.86 


29.51 


67.73 


29.80 


74 




75 


69.04 


39.30 


68.91 


29.61 


68.78 


29.91 


68.65 


30.21 


75 




76 


69.96 


29.70 


69.83 


30.00 


69.70 


30.30 


69.56 


30.61 


76 




77 


70.88 


30.09 


70.75 


30.40 


70.61 


30.70 


70.48 


31.01 


77 




78 


71.80 


30.48 


71.67 


30.79 


71.53 


31.10 


71.39 


31.41 


78 




79 


72.72 


30.87 


72.58 


31.18 


72.45 


31.50 


72.31 


31.82 


79 




80 
81 


73.64 


31.26 


73.50 


31.58 


73.36 


31.90 


73.22 


32.22 


80 




74.. 56 


31.65 


74.42 


31.97 


74.28 


32.30 


74.14 


32.62 


81 




82 


75.48 


32.04 


75.34 


32.37 


75.20 


32.70 


75.06 


33.03 


82 




83 


76.40 


32.43 


76.26 


32.76 


76.12 


33.ro 


75.97 


33.43 


83 




84 


77.32 


32.82 


77.18 


33.16 


77.03 


33.49 


76.89 


33.83 


84 




85 


78.24 


33.21 


78.10 


33.55 


77.95 


33.89 


77.80 


34.23 


85 




86 


79.16 


33.60 


79.02 


33.95 


78.87 


34.29 


78.72 


34.64 


86 




87 


80.03 


33.99 


79.93 


34.34 


79.78 


34.69 


79.63 


35.04 


87 




83 


81.00 


34.38 


80.85 


34.74 


80.70 


35.09 


80.55 


35.44 


88 




89 


81.92 


34.78 


81.77 


35.13 


81.62 


35.49 


81.46 


35.84 


89 




90 
91 


82.85 


35.17 


82.69 


35.53 


82.54 


35.89 


82.38 


36.25 


90 




83.77 


35.56 


83.61 


35.92 


83.45 


36.29 


83.29 


36.65 


91 




92 


84.69 


35.95 


84.53 


36.32 


84.37 


36.68 


84.21 


37.05 


92 




93 


85.61 


36.34 


85.45 


36.71 


85.29 


37.08 


85.12 


37.46 


93 




94 


86.53 


36.73 


86.37 


37.11 


86.20 


37.48 


86.04 


37.86 


94 




95 


87.45 


37.12 


87.29 


37.50 


87.12 


37.88 


86.95 


38.26 


95 




96 


88.37 


37.51 


88.20 


37.90 


88.04 


38.28 


87.87 


38.66 


96 




97 


89.29 


37.90 


89.12 


38.29 


88.95 


38.68 


88.79 


39.07 


97 




98 


90.21 


38.29 


90.04 


38.68 


89.87 


39.08 


89.70 


39.47 


98 




99 


91.13 


38.68 


90.96 


39.08 


90.79 


39.48 


90.62 


39.87 


99 




100 

3 


92.05 


39.07 


91.88 


39.47 


91.71 


39.87 


91.53 


40.27 


100 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


f 




67 Deg. 


661 Deg. 


661 Deg. 


66i Deg. 



60 



TBAV£RS£ TABI.ir> 



1 

B 
? 

] 
















1 

? 
1 


1 


3 24 Deg. 


24i Deg. 


24| Deg. 


S4| Deg. 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




0.91 


0.41 


0.91 


0.41 


0.91 


0.41 


0.91 


0.42 




2 


1.83 


0.81 


1,82 


0.82 


1.82 


0.83 


1.82 


0.84 


2 




2 


2.74 


1.22 


2.74 


1.23 


2,73 


1.24 


2.72 


1.26 


3 




4 


3.65 


1.63 


3.65 


1.64 


3.64 


1.66 


3.63 


1.67 


4 




5 


4.57 


2.03 


4.56 


2.05 


4.55 


2.07 


4.54 


2.09 


5 




6 


5.48 


2.44 


5.47 


2.46 


5.46 


2.49 


5.45 


2.51 


6 




7 


6.39 


2.85 


6.38 


2.87 


6.37 


2.90 


6.36 


2.93 


7 




8 


7.31 


3.25 


7.29 


3.29 


7.28 


3.32 


7.27 


3.35 


8 




9 


8.22 


3.66 


8.21 


3.70 


8.19 


3.73 


8.17 


3.77 


9 




10 
11 


9.14 


4.07 
4.47 


9.12 


4.11 


9.10 


4.15 


9.08 


4.19 


10 
11 




10.05 


10.03 


4.52 


10,-. 01 


4.56 


9.99 


4.61 




12 


10.96 


4.88 


10.94 


4.93 


10.92 


4.98 


10.90 


5.02 


12 




13 


11.88 


5.29 


11.85 


5.34 


11.83 


5.39 


11.81 


5.44 


13 




14 


12.79 


5.69 


12.76 


5.75 


12.74 


5.81 


12.71 


5.86 


14 




15 


13.70 


6.10 


13.68 


6.16 


13.65 


6.22 


13.62 


6.28 


15 




16 


14.62 


6.51 


14.69 


6.57 


14.56 


6.64 


14.53 


6.70 


16 




17 


15.53 


6.92 


15.50 


6.98 


15.47 


7.05 


15.44 


7.12 


17 




18 


16.44 


7.32 


16.41 


7.39 


16.38 


7.46 


16.35 


7.54 


18 




19 


...7.36 


7.73 


17.32 


7.80 


17.29 


7.88 


17.25 


7.95 


19 




20 
21 


18.27 


8.13 


18.24 


8.21 


18.20 


8.29 


18.16 


8.37 


20 
21 




19.18 


8.54 


19.15 


8.63 


19.11 


8.71 


19.07 


8.79 




22 


20.10 


8.95 


20.06 


9.04 


20.02 


9.12 


19.98 


9.21 


22 




23 


21.01 


9.35 


20.97 


9.45 


20.93 


9.54 


20.89 


9.63 


23 




24 


21.93 


9.76 


21.88 


9.86 


21.84 


9.95 


21.80 


10.05 


24 




25 


22.84 


10.17 


22.79 


10.27 


22.75 


10.37 


22.70 


10.47 


25 




26 


23.75 


10.58 


23.71 


10.68 


23.66 


10.78 


23.61 


10.89 


26 




27 


24.67 


10.98 


24.62 


11.09 24.57 


11.20 


24.52 


11. .30 


27 




28 


25.58 


11.39 


25.53 


11.50 


25.48 


11.61 


25.43 


11.72 


28 




29 


26.49 


11.80 


26.44 


11.91 


26.39 


12.03 


26.34 


12.14 


29 




30 


27.41 


12.20 


27.35 


12.32 


27.30 


12.44 


27 . 24 


12. .56 


30 
31 




28.32 


12.61 


28.26 


12.73 


28.21 


12.86 


28.15 


12. .98 




32 


29.23 


13.02 


29.18 


13.14 


29.12 


13.27 


29.06 


13.40 


32 




33 


30.15 


13.42 


30.09 


13.55 


30.03 


13.68 


29.97 


13.82 


33 




34 


31.06 


13.83 


31.00 


13.96 


30.94 


14.10 


30.88 


14.23 


34 




35 


31.97 


14.24 


31.91 


14.38 


31.85 


14.51 


31.78 


14.65 


35 




36 


32.89 


14.64 


32.82 


14.79 


32.76 


14.93 


32.69 


16.07 


36 




37 


33.80 


15.05 


33 . 74 


15.20 


33.67 


16., 34 


33.60 


15.49 


37 




38 


34.71 


15.46 


34.65 


15.61 


34.58 


15.76 


34.51 


15.91 


38 




39 


35.63 


15.86 


35.56 


16.02 


35.49 


16.17 


35.42 


16.33 


39 




40 
41 


36.54 


16.27 


36.47 


16.43 


36.40 
37.31 


16.59 


36.33 
37.23 


16.75 


40 
41 




37.46 


16.68 


37.38 


16.84 


17.00 


17.16 




42 


38.37 


17.08 


38.29 


17.25 


38.22 


17.42 


38.14 


17.58 


42 




43 


39.28 


17.49 


39.21 


17.66 


39.13 


17.83 


39.05 


18.00 


43 




44 


40.20 


17.90 


40.12 


18.07 


40.04 


18.25 


39.96 


18.42 


44 




45 


41.11 


18.30 


41.03 


18.48 


40.95 


18.66 


40.87 


18.84 


45 




46 


42.02 


18.71 


41.94 


18.89 


41.86 


19.08 


41.77 


19.26 


46 




47 


42.94 


19.12 


42.85 


19.30 


42.77 


19.49 


42.68 


19.68 


47 




48 


43.85 


19.52 


43.76 


19.71 


43.68 


19.91 


43.-59 


20.10 


48 




49 


44.76 


19.93 


44.68 


20.13 


44.59 


20.32 


44.50 


20.51 


49 




50 

J 
P 


45.68 


20.34 


45.59 


20.54 


45.50 


20.73 


45.41 


20.93 


_50 

I 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




66 Deg. 


65|I 


)eg. 


65il 


)eg. 


65i Deg. 





TRAVERSE TABLE. 



51 



B 
? 

51 


24 Deg. 


24i Deg. 1 


24iDeg. 


241 Deg. 


s 
~51 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




46.59 


20.74 


46.50 


20.95 


46.41 


21.15 


46.32 


21.35 




52 


47.50 


21.15 


47.41 


21.36 


47.32 


21.56 


47.22 


21.77 


52 




53 


48.42 


21.56 


48.32 


21.77 


48.23 


21.98 


48.13 


22.19 


53 




54 


49.33 


21.96 


49.24 


22.18 


49.14 


22.. 39 


49.04 


22.61 


54 




55 


50.24 


22.37 


50.15 


22.59 


50.05 


22.81 


49.95 


23.03 


55 




56 


51.16 


22.78 


51.06 


23.00 


50.96 


23.22 


50.86 


23.44 


56 




57 


52.07 


23.18 


51.97 


23.41 


51.87 


23.64 


51.76 


23.86 


57 




58 


52.99 


23.59 


52.88 


23.82 


52.78 


24.05 


52.67 


24.28 


58 




59 


53.90 


24.00 


53.79 


24.23 


53.69 


24.47 


53.58 


24.70 


59 




6a 

61 


54.81 


24.40 


54.71 


24.64 


54.60 


24.88 


.54.49 


25.12 
25.54 


60 
61 




55.73 


24.81 


55.62 


25.05 1 


55.51 


25 . 30 1 


55.40 




62 


56.64 


25.22 


56.53 


25.46 


56.42 


25.71 


56.30 


25.96 


62 




63 


57.. 55 


25.62 


.57.44 


25.88 


57.33 


26.13 


57.21 


23.38 


63 




64 


58.47 


26.03 


.58.35 


26.29 


.58.24 


26.54 


58.12 


26.79 


64 




65 


59.38 


26.44 


59.26 


26.70 


59.15 


26.96 


59.03 


27.21 


65 




66 


60.29 


26.84 


60.18 


27.11 


60.06 


27.37 


59.84 


27.63 


66 




67 


61.21 


27.25 


61.09 


27.52 


60.97 


27.78 


60.85 


28.05 


67 




68 


62.12 


27.66 


62.00 


27.93 


61.88 


28.20 


61.75 


28.47 


68 




69 


63.03 


28.06 


62.91 


28 . 34 


62 . 79 


28.61 


62.66 


28.89 


69 




70 

71 


63.95 


28.47 


63.82 


28.75 


63.70 


29.03 


63.57 


29.31 
29.72 


70 
71 




64.86 


28.88 


64.74 


29.16 


64.61 


29.44 


64.48 




72 


65.78 


29.28 


65.65 


29.57 


65.52 


29.86 


65.39 


30.14 


72 




73 


66.69 


29.69 


66 . 56 


29.98 


66.43 


30.27 


66.29 


30.. 56 


73 




74 


67.60 


30.10 


67.47 


30.39 


67.34 


30.69 


67.20 


30.98 


74 




75 


68.52 


30.51 


68.38 


30.80 


68.25 


31.10 


68.11 


31.40 


75 




76 


69.43 


30.91 


69.29 


31.21 


69.16 


31.52 


69.02 


31.82 


76 




77 


70.34 


31.32 


70.21 


31.63 


70.07 


31.93 


69.93 


32.24 


77 




78 


71.26 


31.73 


71.12 


32.04 


70.98 


32.35 


70.84 


32 . 66 


78 




79 


72.17 


32.13 


72.03 


32.45 


71.89 


32.76 


71.74 


33.07 


79 




80 
81 


73.08 


32.54 


72.94 


32.86 


72,80 


33.18 


72.65 


33.49 


80 
81 




74.00 


32.95 


73.85 


33.27 


73.71 


33.59 


73.56 


33.91 




82 


74.91 


33.35 


74.76 


33.68 


74.62 


34.00 


1 74.47 


-34.33 


82 




83 


75.82 


33.76 


75.68 


34.09 


75.-53 


34.42 


75.38 


34.75 


83 




84 


76.74 


34.17 


76.59 


34.50 


76.44 


34.83 


76.23 


35.17 


84 




85 


77.65 


34.57 


77.50 


34.91 


77.35 


35.25 


77.19 


35.59 


85 




86 


78.56 


34.98 


78.41 


35.32 


78.26 


35.66 


78.10 


36.00 


86 




87 


79.48 


35.39 


79.32 


35.73 


79.17 


36.08 


79.01 


36.42 


87 




88 


80.39 


35.79 


80.24 


36.14 


80.08 


36.49 


79 . 92 


36.84 


88 




89 


81.31 


36.20 


81.15 


36.55 


80.99 


36.91 


80.82 


37.26 


89 




90 
91 


82.22 


36.61 


82.06 


36.96 


81.90 


37.32 
37.74 


81.73 


37.68 


90 




83.13 


37.01 


82.97 


37.38 


82.81 


82.64 


33.10 


91 




92 


84.05 


37.42 


83.88 


37.79 


83.72 


38.15 


83.55 


38.-52 


92 




93 


84.96 


37.83 


84.79 


38.20 


84.63 


38.. 57 


84.46 


38.94 


93 




94 


85.87 


38.23 


85.71 


38.61 


85.54 


38.98 


85.37 


39.35 


94 




95 


86.79 


38.64 


86.62 


39.02 


86-. 45 


39.40 


86.27 


39.77 


95 




96 


87.70 


39.05 


87.53 


39.43 


87.36 


39.81 


87.18 


40.19 


96 




97 


88.61 


39.45 


88.44 


39.84 


88.27 


40.23 


88.09 


40.61 


97 




98 


89.53 


39.86 


89.35 


40.25 


89.18 


40.64 


89.00 


41.03 


98 




99 


90.44 


40.27 


90.26 


40.66 


90.09 


41.05 


89.91 


41.45 


99 




100 

8 

.5 
Q 


91.35 


40.67 


91.18 


41.07 


91.00 


41.47 


90.81 


41.87 


loa 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 




66 Deg. 


651 Deg. 


63i Deg. 


65i Deg. 





TRAVERSE TABLE. 








25 Deg. 


25i Deg. 


25i Deg. 


251 Deg. 








p 

1 














Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 






0.91 


0.42 


o.eo 


0.43 


0.90 


'~0T43 


0.90 


0,43 


1 






2 


1.81 


0,85 


1.81 


0.85 


1.81 


0.86 


1.80 


0.87 


2 






3 


2.72 


1.27 


2.71 


1.28 


2.71 


1.29 


2.70 


1.30 


3 






4 


3.63 


1,69 


3.62 


1,71 


3.61 


1,72 


3.eo 


1.74 


4 






5 


4,53 


2,11 


4.52 


2.13 


4.51 


2,15 


4.50 


2.17 


5 






6 


5.44 


2,54 


5.43 


2., 56 


5.42 


2,58 


5,40 


2.61 


6 






7 


6.34 


2,96 


0.33 


2.99 


6.32 


3,01 


6,30 


3.04 


7 






8 


7.25 


3,38 


7.24 


3.41 


7.22 


3.44 


7,21 


3.48 


8 






9 


8.16 


3,80 


8.14 


3.84 


8.12 


3.87 


8,11 


3.91 


9 






10 


9.06 


4,23 


9.04 


4.27 


9.03 


4.31 


9,01 


4.34 


10 






11 1 9.97 


4,65 


9.95 


4.69 


9.93 


4.74 


9,91 


4.78 


11 






12 


110.88 


5,07 


10.85 


5.12 


10.83 


5.17 


10.81 


5.21 


12 






13 


11.78 


5,49 


11.70 


5.-55 


11.73 


5.60 


11.71 


5.65 


13 






14 


12.69 


5,92 


12.66 


5.97 


12.64 


6.03 


12.61 


6,08 


14 






15 


13.59 


6.34 


13.57 


6.40 


13.54 


6.46 


13.51 


6.52 


15 






16 


14.50 


6.76 


14.47 


6.83 


14.44 


6.89 


14.41 


6.95 


16 






17 


15.41 


7.18 


15.38 


7.25 


15.34 


7., 32 


15.31 


7.39 


17 






18 


16.31 


7,61 


16.28 


7.68 


16.25 


7,75 


16.21 


7.82 


18 






19 


17.22 


8,03 


17.18 


8.10 


17.15 


8,18 


17.11 


8.25 


19 






20 
21 


18.13 


8,45 


18.09 


8.53 


18.05 
18.95 


8,61 
9-04 


18.01 


8.69 


20 






19.03 


8,87 


18.99 


8.96 


18.91 


9.12 


21 






22 


19.94 


9.30 


19.90 


9.38 


19.86 


9.47 


19.82 


9.. 56 


22 






23 


20.85 


9.72 


20.80 


9.81 


20.76 


9,90 


20.72 


9.99 


23 






24 


21.75 


10.14 


21.71 


10.24 


21.66 


10.. 33 


21,62 


10.43 


24 






25 


22.66 


10.57 


22.61 


10.66 


22.56 


10.76 


22,52 


10,86 


25 






26 


23 . .56 


10.99 


23.52 


11.09 


23.47 


11.19 


23,42 


11,30 


26 






27 


24.47 


11.41 


24.42 


11.52 


24.37 


11.62 


24,32 


11,73 


27 






28 


25.38 


11.83 


25.32 


11.94 


25.27 


12.05 


25,22 


12.16 


28 






29 


26.28 


12,26 


26.23 


12.37 


26.17 


12. 4S 


26,12 


12.60 


29 






30 


27.19 
28.10 


12.68 


27.13 


12.80 


27.08 
27.98 


12.92 


27.02 


13.03 
13.47 


30 
31 






13,10 


28 . 04 


13.22 


13.35 


27.92 






32 


29.00 


13,. 52 


28.94 


13.65 


28.88 


13.78 


28.82 


13.90 


32 






33 


29.91 


13.95 


29.85 


14.08 


29.79 


14.21 


29.72 


14.34 


33 






34 


30.81 


14.37 


30.75 


14.. 50 


30.69 


14.64 


.30.62 


14.77 


34 






35 


31.72 


14.79 


31.66 


14.93 


31.59 


15.07 


31.52 


15.21 


35 






36 


32.63 


15.21 


32.56 


15.36 


32.49 


15.50 


32.43 


15.64 


36 






37 


33.53 


15.64 


33.46 


15.78 


33.40 


15.93 


.33.33 


16,07 


37 






38 


34.44 


16.06 


34.37 


16.21 


34.30 


16.36 


34.23 


16,51 


38 






39 


35.35 


16.48 


35.27 


16.64 


35.20 


16.79 


35.13 


16,94 


39 






40 
41 


36.35 


16.90 


36.18 
37.08 


17.06 


36.10 


17.22 


36.03 


17,38 


40 
41 






37.16 


17.33 


17.49 


37.01 


17.65 


36.93 


17,81 






42 


38.06 


17.75 


37.99 


17.92 


37.91 


18.08 


37.83 


18,25 


42 






43 


38.97 


18.17 


38.89 


18.34 


38.81 


18.51 


38.73 


18.68 


43 






44 


39.88 


18.60 


39.80 


18.77 


39.71 


18.94 


39.63 


19.12 


44 






45 


40.78 


19.02 


40.70 


19.20 


40.62 


19.37 


40.. 53 


19.55 


45 






46 


41.69 


19.44 


41.60 


19.62 


41.52 


19.80 


41.43 


19.98 


46 






47 


42.60 


19.86 


42.51 


20.05 


42.42 


20.23 


42.33 


20.42 


47 






48 


43.50 


20.29 


43.41 


20.48 


43.-32 


20.66 


43.23 


20.85 


48 






49 


44.41 


20.71 


44.32 


20.90 


44.23 


21,10 


44.13 


21.29 


49 






50 


4.5., 32 


21.13 


45.22 


21.33 


45.13 


21,53 


45,03 


21.72 


JO 






a 


Dep. 


Lat, 


Dep. 


Lat. 


Dep. 


Lat, 


Dep. 


Lat. 


s 








65 Deg-. 


64JDe^. 1 


64iDeg. 


64i Deg. 





TRAVERSE TABLE. 



53 



p 

51 


25 Deg. 


25i Deg. 


25i Deg. 


.... 
251 Deg. 


1 

CD 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


46.22 


21.55 


46.13 


21.75 


46.03 


21.96 


45.94 


22.16 


"51 


52 


47.13 


21.98 


47.03 


22.18 


46,93 


22.39 


46.84 


22.59 


52 


53 


48.03 


22.40 


47.94 


22.61 


47.84 


22.82 


47.74 


23.03 


53 


54 


48.94 


22.82 


48.84 


23.03 


48.74 


23.25 


48.64 


23.46 


54 


55 


49.85 


23.24 


49.74 


23.46 


49.64 


23.68 


49.54 


23.89 


55 


56 


50.75 


23.67 


50.65 


23.89 


I50..54 


24.1.1 


50.44 


24.33 


56 


57 


51.66 


24.09 


51.55 


24.31 


151.45 


24.54 


51.34 


24.76 


57 


58 


52 . 57 


24.51 


52.46 


24.74 


.52.35 


24.97 


52.24 


25.20 


58 


59 


.53.47 


24.93 


53,36 


25.17 


53.25 


25.40 


.53.14 


25.63 


59 


60 
"61 


54.38 


25.36 


54.27 


25.59 


54.16 


25.83 


54.04 


26.07 


60 


55 . 28 


25.78 


55.17 


26.02 


55.06 


26.26 


.54.94 


26.50 


61 


62 


56.19 


26.20 


56.08 


26.45 


55.96 


26.69 


55.84 


26.94 


62 


63 


57.10 


26.62 


.56.98 


26.87 


56.86 


27.12 


56 . 74 


27.37 


63 


64 


58.00 


27.05 


57.89 


27.30 


57.77 


27.55 


57.64 


27.80 


64 


65 


58.91 


27.47 


58.79 


27.73 


58.67 


27.98 


58 . 55 


28.24 


65 


66 


59.82 


27.89 


59.69 


28.15 


59.57 


28.41 


.59.45 


28.67 


66 


67 


60.72 


28.32 


60.60 


28.58 


60.47 


28.84 


60.35 


29.11 


67 


68 


61.63 


28.74 


61.. 50 


29.01 


01.38 


29.27 


61.25 


29.54 


68 


69 


62.54 


29.16 


62.41 


29.43 


62.28 


29.71 


62.15 


29.98 


09 


70 
71 


63.44 


29.58 


63.31 


29.86 


63.18 


30.14 


63.05 


30.41 


70 
71 


64.35 


.30.01 


64.22 


30.29 


64.08 


30.57 


63 . 95 


30.85 


72 


65.25 


30.43 


65.12 


30.71 


64.99 


31.00 


64.85 


31.28 


72 


73 


66.16 


30.85 


66.03 


31.14 


65.89 


31.43 


65.75 


31.71 


73 


74 


67.07 


31.27 


66.93 


31.. 57 


66.79 


31.86 


66 . 65 


32.15 


74 


70 


67.97 


31.70 


07.83 


31.99 


67.69 


32.29 


67.55 


32.58 


75 


76 


68.88 


32.12 


68.74 


32.42 


68.60 


32.72 


68.45 


,-^3.02 


76 


77 


69.79 


32.54 


69.64 


32.85 


69.. 50 


33.15 


69.35 


.33.45 


77 


78 


70.69 


32.96 


70.55 


33.27 


70.40 


33.58 


70.25 


33.89 


78 


79 


71.60 


33.39 


71.45 


33.70 


71.30 


34.01 


7K16 


34.32 


79 


80 
81 


72.. 50 


33.81 


72.36 
73.26 


34. 13 


72.21 


34.44 


72 06 


34.76 


80 


73.41 


34.23 


34.55 1 


73.11 


34.87 


72.96 


35.19 


81 


82 


74.32 


34.65 


74.17 


34.98 


74.01 


.35.30 


73.86 


35 . 62 


82 


83 


75.22 


35.08 


75.07 


35.41 


74.91 


35.73 


74.76 


36.06 


83 


84 


76.13 


35.50 


75.97 


.35 . 83 


75.82 


36.16 


75.66 


36.49 


84 


85 


77.04 


35.92 


76.88 


36.26 


76.72 


36.59 


76.56 


36.93 


85 


86 


77.94 


36.35 


77.78 


36.68 


77.62 


37.02 


77.46 


37.36 


86 


87 


78.85 


36.77 


78.69 


37.11 


78.52 


37.45 


78.36 


37.80 


87 


88 


79.76 


37.19 


79.59 


37.54 


79.43 


37.88 


79.26 


38.23 


88 


89 


80.66 


37.61 


80.50 


37.96 


80.33 


38 . 32 


80.16 


38.67 


89 


90 
91 


81.57 


38.04 


81.40 


38.39 


81.23 


38.75 


81.06 


39.10 


90 
91 


82.47 


38.46 


82.31 


38.82; 1 


82.14 


39.18 


81.96 


39.53 


92 


83.38 


38.88 


83.21 


39.24 


83.04 


39.61 


82.86 


39.97 


92 


93 


84.29 


39.. 30 


84.11 


39.67 


83.94 


40 . 04 


83.76 


40.40 


93 


94 


85.19 


39 . 73 


85.02 


40.10 


84.84 


40.47 


84.67 


40.84 


94 


95 


86.10 


40.15 


85. 92 


40.52 


85.75 


40.90 


85.57 


41.27 


95 


96 


87.01 


40.57 


86.83 


40.95 ! 


86.65 


41.33 


86.47 


41.71 


96 


97 


87.91 


40.99 


87.73 


41.38 1 


87.55 


41.76 


87.37 


42.14 


97 


98 


88.82 


41.42 


88.64 


41.80 1 


88.45 


42.19 


88.27 


42.58 


08 


99 


89.72 


41.84 


89.54 


42.23 , 


89.36 


42.62 


89.17 


43.01 


99 


100 

i 

1 


90.63 


42.26 


90.45 


42.66 ; 


90.26 


43.05 


90.07 


43.44 


100 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 

p 

(5 ; 


65 Deg. 


641 Deg. 


64i Deg. 


64i Deg. 



















54 



TRAVERSE TABLE. 



1 


26Deg. || 


26i Deg. 


26i Deg. 


26i Deg. 


2 
1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep, 


Lat, 


Dep. 


1 


0.90 


0.44 


0.90 


0.441 


0.89 


0,45 


0,89 


0,45 


I 


2 


1.80 


0.88 


1.79 


0,88 


1,79 


0.89 


1,79 


0,90 


2 


3 


2.70 


1.32 


2.69 


1,33 


2,68 


1,34 


2,68 


1,35 


3 


4 


3.60 


1.75 


3.59 


1,77 


3.58 


1,78 


3,57 


1,80 


4 


5 


4.49 


2.19 


4.48 


2.21 


4.47 


2,23 


4,46 


2,25 


5 


6 


5.39 


2.63 


5.38 


2.65 


5.37 


2.68 


5,36 


2.70 


6 


7 


6.29 


3.07 


6.28 


3.10 


6.26 


3,12 


6,25 


3.15 


7 


8 


7.19 


3.51 


7.17 


3,54 


7.16 


3.57 


7,14 


3,60 


8 


9 


8.09 


3.95 


8.07 


3,98 


8.05 


4,02 


8.04 


4,05 


9 


10 
11 


8.99 


4.3S 


8.97 


4.42 


8.95 


4,46 


8,93 


4,. 50 


10 


9.89 


4.82 


9.87 


4,87 


9.84 


4.91 


9,82 


4,95 


11 


12 


10.79 


5.26 


10.76 


5.31 


10.74 


5,35 


10,72 


5,40 


12 


13 


11.68 


5.70 


11.66 


5.75 


11.63 


5,80 


11.61 


5,85 


13 


14 


12.58 


6.14 


12.58 


6.19 


12,53 


6,25 


12.. 50 


6,30 


14 


15 


13.48 


6.58 


13.45 


6.63 


13,42 


6.69 


13.39 


6.75 


15 


16 


14.38 


7.01 


14.35 


7.08 


14.32 


7.14 


14.29 


7.20 


16 


17 


15.28 


7.45 


15.25 


7.52 


15,21 


7.59 


15.18 


7,65 


17 


18 


16.18 


7.89 


16.14 


7.96 


16.11 


8.03 


16,07 


8.10 


18 


19 


17.08 


8.33 


17.04 


8.40 


17.00 


8,48 


16.97 


8.55 


19 


20 

21 


17.98 


8.77 


17.94 


8.85 


17.90 


8,92 


17.86 


9. CO 


20 


18.87 


9.2L 


18.83 


9.29 


18.79 


9,37 


18,75 


9,45 


21 


22 


19.77 


9.64 


19.73 


9.73 


19,69 


9,82 


19.65 


9.90 


22 


23 


20.67 


10.08 


20.63 


10.17 


20.58 


10,26 


20.54 


10,35 


23 


24 


21.57 


10.52 


21.52 


10.61 


21,48 


10,71 


21,43 


10.80 


24 


25 


22.47 


10.96 


22.42 


11,06 


22,37 


11.15 


22,32 


11.25 


25 


26 


23.37 


11.40 


23.32 


11,50 


23.27 


11,60 


23.22 


11,70 


26 


27 


24.27 


11.84 


24.22 


11.94 


24.16 


12,05 


24,11 


12,15 


27 


28 


25.17 


12.27 


25.11 


12,38 


25,06 


12,49 


25.00 


12.60 


28 


29 


26.06 


12.71 


26.01 


12.83 


25,95 


12.94 


25.90 


13,05 


29 


30 


26.96 


13.15 


26.91 


13.27 


26.85 


13.39 


26,79 


13,. 50 


30 


TT 


27.86 


13.59 


27,80 


13.71 


27,74 


13,83 


27,68 


13.95 


31 


32 


28.76 


14.03 


28.70 


14,15 


28,64 


14,28 


28,58 


14,40 


32 


33 


29.66 


14.47 


29.60 


14.60 


29 . 53 


14.72 


29.47 


14,85 


33 


34 


30.56 


14.90 


30.49 


15,04 


30,43 


15,17 


30.36 


15,30 


34 


35 


31.46 


15.34 


31.39 


15.48 


31,32 


15,62 


31.25 


15.75 


35 


36 


32.36 


15.78 


32.29 


15,92 


32,22 


16,06 


32.15 


16,20 


36 


37 


33.26 


16.22 


33.18 


16.36 


33,11 


16,51 


33,04 


16.65 


37 


38 


34.15 


16.66 


34.08 


16,81 


34,01 


16.96 


33,93 


17,10 


38 


39 


35.05 


17.10 


34.98 


17.25 


34,90 


17,40 


34,83 


17,55 


39 


40 


35.95 


17.53 


35.87 


17.69 


35.80 


17,85 


35 , 72 


18,00 


40 


41 


36.85 


17.97 


36.77 


18.13 


36,69 


18,29 


36,61 


18,45 


41 


42 


37.75 


18,41 


37.67 


18,58 


37,59 


18,74 


37.51 


18,90 


42 


43 


38.65 


18.85 


38.57 


19,02 


38.48 


19,19 


38.40 


19,35 


43 


44 


39.55 


19.29 


39.46 


19.46 


39.38 


19,63 


39,29 


19,80 


44 


45 


40.45 


19.73 


40.36 


19.90 


40.27 


20.08 


40,18 


20.25 


45 


46 


41.34 


20.17 


41.26 


20,35 


41,17 


20,53 


41,08 


20.70 


46 


47 


42.24 


20.60 


42.15 


20,79 


42,06 


20,97 


41.97 


21.15 


47 


48 


43.14 


21.04 


43.05 


21,23 


42,96 


21.42 


42.86 


21,60 


48 


49 


44.04 


21.48 


43.95 


21,67 


43,85 


21.86 


43,76 


22.05 


49 


60 


44.94 


21.92 


44.84 


22,11 


44,75 


22.31 


44.65 


22.50 


50 


1 


Dep, j Lat. 


D.p. 


Lat, 


Dep. 


1 Lat, 


Dep, 


Lat. 


1 




1 








1 


° 


64 Deg. 


1 "» 


Deg. 


63i Deg. 


63i Deg. 


Q 



TKAVKRSE TABLE. 



B& 





26 Deg. 


26i Deg. 


26i Deg. 


261 Deg. 


s 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


"sT 


45.84 


22.36 


45.74 


22.56 


45764 


22776 


46754 


22.96 


"51 


52 


46.74 


22.80 


46.64 


23.00 


46.54 


23.20 


46.43 


23.41 


52 


53 


47.64 


23.23 


47.53 


23.44 


47.43 


23.65 


47.33 


23.86 


53 


54 


48.53 


23.67 


48.43 


23.88 


48.33 


24.09 


48,22 


24,31 


54 


55 


49.43 


24.11 


49.33 


24.33 


49.22 


24.54 


49.11 


24.76 


55 


56 


50.33 


24.55 


50.22 


24.77 


50. )2 


24.99 


50.01 


25.21 


56 


57 


51.23 


24.99 


51.12 


25.21 


51.01 


25.43 


.50.90 


25.66 


57 


58 


52.13 


25.43 


52.02 


25.65 


51.91 


25.88 


51,79 


26.11 


58 


59 


53.03 


25.86 


52.92 


26.09 


52.80 


26.33 


52.69 


26.56 


59 


60 

61 


53.93 


26.30 


53.81 


26.54 


53.70 


26.77 


.53.58 


27.01 


60 


54.83 


26.74 


54.71 


26.98 


.54.59 


27.22 


54.47 


27.46 


61 


62 


55.73 


27.18 


55.61 


27.42 


55.49 


27.66 


.55.36 


27.91 


62 


63 


56.62 


27.62 


56.60 


27.86 


56.38 


28.11 


56.26 


28.36 


63 


64 


57.52 


2S.06 


57.40 


28.31 


57.28 


28.56 


.57.15 


28.81 


64 


, 65 


58.42 


28.49 


58.30 


28.75 


58.17 


29.00 


58.04 


29.26-. 


65 


66 


59.32 


28.93 


59.19 


29.19 


59.07 


29.45 


58.94 


29.71 


m 


67 


60.22 


29.37 


60.09 


29.63 


59.96 


29.90 


.59.83 


30.16. 


67 


68 


61.12 


29.81 


60.99 


39.08 


60.86 


30.34 


60.72 


30.61 


68 


69 


62.02 


30.25 


61.88 


30.52 


61.75 


30.79 


61.62 


31.06 


69 


70 
71 


62.92 


30.69 


62.78 


30.96 


62.65 


31.28 


62.51 
63.40 


31.51 


70 


63.81 


31.12 


63.68 


31.40 


63.54 


31.68 


31.96 


71 


72 


64.71 


31.56 


64.57 


31.84 


64.44 


32.13 


64.29 


32.41 


72 


73 


65.61 


32.00 


65.47 


32.29 


65.33 


32.57 


65.19 


32.86 


. 73 


74 


66.51 


32.44 


66.37 


32 . 73 1 


66.23 


33.02 


66.08 


33.31 


74 


75 


67.41 


32.88 


67.27 


.33.17 


67.12 


33.46 


66.97 


33.76 


75 


76 


68.31 


33.32 


68.16 


33.61 


68.01 


33.91 


67.87 


34.21 


76 


77 


69.21 


33.75 


69.06 


34.06 


68.91 


34.36 


68.76 


34.66 


77 


78 
79 


70.11 


31.19 


69.96 


34.50 


69.80 


34.80 


69.65 


35.11 


78 


71.00 


34.63 


70.85 


34.94 


70.70 


35.25 


70.55 


35.56 


79 


80 
81 


71.90 
72.80 


35.07 
35.51 


71.75 


35. 3S 


71.59 


35.70 


71.44 
72.33 


36.01 


■80 


72.65 


35.83 


72.49 


36.14 


36.46 


81 


82 


73.70 


.35.95 


73.54 


36.27 


73.38 


36.59 


73.22 


36-.91 


82 


83- 


74.60 


36.38 


74.44 


36.71 


74.28 


37.03 


74.12 


37.36 


83. 


84 


75.50 


36.82 


75.34 


37.15 


75.17 


37.48 


75.01 


37.81 


84 


85 


76.40 


37.26 


76.23 


37.59 


76.07 


37.93 


75.90 


38.26 


85 


86 


77.30 


37.70 


77.13 


38.04 


76.96 


38.37 


76.80 


38.71 


86 


87 


78.20 


3S.14 


78.03 


38.48 


77.86 


38.82 


77.69 


39.16 


87 


88 


79.09 


38.58 


78.92 


38.92 


78.75 


39.27 


78.. 58 


39.61 


88 


89 


79.99 


39.01 


79.82 


39.36 


79.65 


39.71 


79.48 


40.06 


89 


90 
91 


80.89 


39.45 


80.72 


39.81 


SO . 54 


40.16 


80.37 


40.51 


90 


81.79 


39.89 


81.62 


40.25 


81.44 


40.60 


81.26: 40.. 96 


91 


92 


82.69 


40.33 


82.51 


40.69 


82.33 


41 .05 


82.15 


41.41 


92 


93 


83.59 


40.77 


83.41 


41.13 


83.23 


41.50 


83.05 


41.86 


93 


94 


84.49 


41.21 


84.31 


41.58 


84.12 


41.94 


83.94 


42.31 


94 


95 


85.39 


41.65 


85.20 


42.02 


85.02 


42.39 


84.83 


42.76 


95 


96 


86.28 


42.08 


86.10 


42.46 


85.91 


42.83 


85.73 


43.21 


96 


97 


87.18 


42.52 


87.00 


42.90 


86.81 


43.28 


86.62 


43.66 


97 


98 


88.08 


42.96 


87.89 


43.34 


87.70 


43.73 


87.51 


44.11 


98 


99 


88.98 


43.40 


88.79 


43.79 


88.60 


44.17 


88.40 


44.56 


99 


100 


89.88 


43.84 


89.69 


44.23 


89.49 


44.62 


89.30 


45.01 


100 


i 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


1 










c3 


64 Deg. 


631 Deg. 


63} Deg. 


63i Deg, 



f RAVERS^ VXUhM. 



o 


27 Deg. 


27iDeg. 


27ADeg. 


27i Deg. 


g 


"~1 




11 






~~1 


Lat. Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


Lat. 


Dep. 


0.89 0.45 II 


0.89 


0.46 


0.89 


0.46 


0.88 


0.47 


2 


1.78 


0.91 


1.78 


0.92 


1.77 


0.92 


1.77 


0.93 


2 


3 


2.67 


1..% 


2.67 


1.37 


2.66 


1.39 


2.65 


1.40 


3 


4 


3.56 


l.SS 


3.56 


1.83 


3.55 


1.86 


3.54 


1.86 


4 


5 


4.45 


2.27 


4.45 


2.29 


4.44 


2.31 


4.42 


2.33 


5 


6 


5.35 


2.72 


5.33 


2.75 


5.32 


2.77 


5.31 


2.79 


6 


7 


6.24 


3.18 


6.22 


3.21 


6.21 


3.23 


6.19 


3.26 


7 


8 


7.13 


3.63 


7.11 


3,66 


7.10 


3.69 


7.08 


3.72 


8 


9 


8.02 


4.09 


8.00 


4.12 


7.98 


4.16 


7.96 


4.19 


9 


10 

11 


8.91 


4.54 


8.8-9 
9.78 


4.58 


8,87 


4.62 


8.85 


4.66 


10 
11 


9.80 


4,99 


5.04 


9,76 


5.08 


9.73 


5.12 


12 


10.69 


5.45 


10.67 


5.49 


10,64 


5.54 


10.62 


5.59 


12 


13 


11.58 


5.90 


11.56 


5.95 


11.53 


6,00 


11. .50 


6.05 


13 


14 


12.47 


6.36 


12,45 


6.41 


12.42 


6,46 


12.39 


6.52 


14 


15 


13.37 


6.81 


13.34 


6.87 


13,31 


6,93 


13.27 


6.98 


15 


16 


14.26 


7.26 


14.22 


7.33 


14, 19 


7,39 


14.16 


7.45 


16 


17 


15.15 


7.72 


15.11 


7,78 


15,08 


7,86 


15.04 


7.92 


17 


18 


16.04 


8.17 


16.00 


8,24 


15.97 


8,31 


15.93 


8.. 38 


18 


19 


16.93 


8.63 


16.89 


8,70 


16,85 


8,77 


16.81 


8.85 


19 


20 


17.82 


9.08 


17.78 


9.16 


17.74 


9.23 


17.70 


9.31 


20 

"21 


31 


18.71 


9.53 


18.67 


9.62 


18.63 


9.70 


18.58 


9.78 


22 


19.60 


9.99 


19.. 56 


10.07 


19.51 


10.16 


19.47 


10.24 


22 


23 


20.49 


10.44 


20.45 


10.53 


20.40 


10.62 


20.35 


10.71 


23 


24 


21.38 


10.90 


21.. 34 


10.99 


21.29 


11.08 


21.24 


11.17 


24 


25 


22.28 


11.35 


22.23 


11.45 


22.18 


11.64 


22.12 


11.64 


25 


26 


23.17 


11.80 


23 . 1 1 


11.90 


23.06 


12.01 


23.01 


12.11 


26 


27 


24.06 


12.26 


24.00 


12.36 


23.95 


12.47 


23.89 


12.57 


27 


28 


24.95 


12.71 


24.89 


12.82 


24.84 


12.93 


24.78 


13.04 


28 


29 


25.84 


13.17 


25.78 


13.28 


25.72 


13,39 


25.66 


13.50 


29 


30 


26.73 


13.62 


26.67 
27.56 


13.74 


26.61 


13.85 


26.55 


13.97 


30 
31 


31 


27.62 


14.07 


14.19 


27.50 


14.31 


27.43 


14.43 


32 


■28.51 


14.53 


28.45 


14.65 


28.38 


14.78 


28.32 


14.90 


32 


33 


29.40 


14.98 


29.34 


15.11 


29.27 


15.24 


29.20 


15.37 


33 


34 


30.29 


15.44 


30.23 


15.57 


30.16 


'5.70 


30.09 


15.83 


34 


35 


31.19 


15.89 


31.12 


16.03 


31.05 


16.16 


30.97 


16.30 


35 


36 


32.08 


16.34 


32.00 


16.48 


31.93 


16.62 


31.86 


16.76 


36 


37 


32.97 


16.80 


32.89 


16.94 


32.82 


17.08 


32.74 


17.23 


37 


38 


33.86 


17.25 


33.78 


17.40 


33.71 


17.55 


33.63 


17.69 


38 


39 


34.75 


17.71 


34.67 


17.86 


34.59 


18.01 


34.51 


18.16 


39 


40 
41 


35.64 


18.16 


35.56 


18.31 


35.48 


18.47 


35.40 


18.62 
19.09 


40 
41 


36.53 


18.61 


36.45 


18.77 


36.37 


18.93 


36.28 


42 


37.42 


19.07 


37 34 


19.23 


37.25 


19.39 


37.17 


19.56 


42 


43 


38.31 


19.52 


38.23 


19.69 


38.14 


19.86 


38.05 


20.02 


43 


44 


39.20 


19.98 


39.12 


20.15 


39.03 


20.32 


38.94 


20.49 


44 


45 


40.10 


20.43 


40.01 


20.60 


39.92 


20.78 


39.82 


20 . 95 


45 


46- 


40.99 


20.88 


40.89 


21.06 


40.80 


21.24 


40.71 


21.42 


46 


47 


41.88 


21.34 


41.78 


21.52 


41.69 


21.70 


41.59 


21.88 


47 


48 


42.77 


21.79 


42.67 


21.98 


42.58 


22.16 


42.48 


22.35 


48 


49 


43.66 


22.25 


43.56 


22.44 


43.46 


22.63 


43.36 


22.82 


49 


50 

i 
1 


44.55 


22.70 


44.45 


22.89 


44.. 35 


23.09 


44.25 


23.28 


_50 

i 
1 
S 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


63 Deg. 


62J Deg. 


62^ Deg. 


62i Deg. 



TRAVERSE TABLE. 



£7 



o 
§ 

51 


27 Deg. 


27i Deg. 


271 Deg. 


271 Deg. 


5 
i 

51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


45.44 


23.15 


45.34 


23.35 1 


45,24 


23.55 


45.13 


23,75 


52 


46.33 


23,61 


46.23 


23.81 


46.12 


24.01 


46.02 


24,21 


52 


53 


47.22 


24.06 


47.12 


24.27 


47.01 


24.47 


46.90 


24,68 


53 


54 


48,11 


24.52 


48.01 


24.73 


47.30 


24.93 


47.79 


25.14 


54 


55 


49.01 


24.97 


48.90 


25.18 


48.79 


25.40 


48.67 


25,61 


55 


56 


49.90 


25.42 


49,78 


25.64 


49.67 


25.86 


49.-56 


26.07 


56 


57 


50.79 


25 . 88 


50.67 


26.10 


50.56 


26.32 


.50.44 


26.54 


57 


58 


51.68 


26.33 


51.56 


26.56 


51.45 


26.78 


51.33 


27.01 


58 


59 


52.57 


26.79 


52.45 


27.01 


.52.33 


27.24 


52.21 


27.47 


59 


60 
61 


53.46 


27.24 


.53.. 34 
54.23 


27.47 


53.22 


27.70 


.53.10 


27.94 


60 
61 


54.35 


27.69 


27.93 1 


54.11 


28.17 


53.98 


28.40 


62 


55.24 


28.15 


55.12 


28.39 


54,99 


28.63 


.54.87 


28.87 


62 


63 


56.13 


28.60 


56.01 


28.85 1 


55,88 


29.09 


55.75 


29.33 


63 


64 


57.02 


29.06 


56.90 


29.30 1 


56,77 


29.55 


56.64 


29.80 


64 


65 


57.92 


29.51 


57.79 


29.76 1 


57.66 


30.01 ' 


57.52 


30.26 


65 


66 


58.81 


29.96 


58.68 


30.22 


58.54 


30.48 


58,41 


30.73 


66 


67 


59.70 


30.42 


.59.56 


30.68 


59.43 


30.94, 


59,29 


31.20 


67 


68 


60.59 


30.87 


60.45 


31.14 


60.32 


31.40 


60,18 


31.66 


68 


69 


61.48 


31.33 


61.34 


31.59 


61.20 


31.86 


61,06 


32.13 


69 


70 
71 


62.37 


31.78 


62.23 


32.05 


62,09 


32.32 i 


61,95 


32.59 


70 
71 


63.26 


32.23 


63.12 


32,61 


62,98 


32.78 


62,83 


.33,06 


72 


64.15 


32.69 


64.01 


32,97 


63,86 


33.25 


63,72 


33,52 


72 


73 


65.04 


33.14 


64.90 


33,42 


64,75 


33.71 


64,60 


33,99 


73 


74 


65.93 


33.60 


65.79 


33.88 


65 , 64 


34.17 


65.49 


34,46 


74 


75 


66.83 


34.05 


66.68 


.34.34 


66.53 


34.63 


66.37 


34.92 


75 


76 


67.72 


34.50 


67.57 


34.80 


67.41 


35.09 


67.26 


35.39 


76 


77 


68.61 


34.96 


68.45 


35.26 


68.30 


35.55 


68,14 


35,85 


77 


78 


69.50 


35.41 


69.34 


35.71 


69.19 


36.02 


69,03 


36.32 


78 


79 


70.39 


35.87 


70.23 


36.17 


70.07 


36.48 


69.91 


36,78 


79 


_80 
81 


71.28 


36.32 


71.12 


36.63 
37.09 


70.96 


36.94 


70.80 


37,25 


80 
81 


72.17 


36.77 


72.01 


71.85 


37.40 


71.68 


37,71 


82 


73.06 


37.23 


72,90 


37.55 


72.73 


37,86 


72.. 57 


38,18 


82 


83 


73.95 


37.68 


73,79 


38.00 


73.62 


.38,33 


73.45 


38.65 


83 


84 


74.84 


38.14 


74,68 


38.46 


74.51 


38,79 


74.34 


39.11 


84 


85 


75.74 


38.59 


75,57 


38.92 


75.40 


39.25 


75.22 


39.58 


85 


86 


76.63 


39.04 


76,46 


39.38 


76.28 


39.71 


76.11 


40.04 


86 


87 


77.52 


39.50 


77.34 


39.83 


77.17 


40,17 


76.99 


40.51 


87 


88 


78.41 


39.95 


78.23 


40.29 


78.06 


40.63 


77.88 


40.97 


88 


89 


79.30 


iS-*l 


79.12 


40.75 


78.94 


41.10 


78.76 


41.44 


89 


90 
91 


80.19 


40.86 


80.01 


41.21 


79.83 


41.. 56 


79.65 


41.91 


90 
91 


81.08 


41.31 


80.90 


41.67 


80.72 


42.02 


80.53 


42.37 


92 


81.97 


41.77 


81.79 


42.12 


81.60 


42.48 


81.42 


42.84 


92 


93 


82.86 


42.22 


82.68 


42.58 


82.49 


42.94 


82.30 


43.30 


93 


94 


83.75 


42.68 


83.57 


43.04 


83,38 


43.40 


83.19 


43.77 


94 


95 


84.65 


43.13 


84.46 


43.50 


84,27 


43.87 


84.07 


44.23 


96 


96 


85.54 


43.58 


^^35 


43.96 


85.15 


44,33 


84.96 


44.70 


96 


97 


86.43 


44.04 


86.13 


44.41 


86.04 


44.79 


85.84 


45.16 


97 


98 


87.32 


44.49 


87.15i 


44,87 


86.93 


45.25 


86.73 


45.63 


98 


99 


88.21 


44.95 


88.01 


45,33 


87.81 


45.71 


87.61 


46.10 


99 


100 


89.10 


45.40 


88.90 


45,79 


88.70 


46.17 


88.50 


46.56 


100 

1 

i! 




Dep, 


Lat. 


Dep. 


Lat. 


De{> 


Lat. 


Dep. 


Lat. 


2 

5 


63 Deg, 


621 Deg. 


621 Deg. 


62i Deg. 



tRAVERSB TABtK. 





1 
§ 


28 Deg. 


28i Deg. 


28iDeg. 


281 Deg. 


5 

P 






Lat. 


Dep. 


Lat. 
0.88 


Dep. 


Lat 


Dep. 


Lat. Dep. 
0.88 0.48 






1 


0.88 


0.47 


0.47 


0.88 


0.48 


1 






2 


1.77 


0.94 


1.76 


0.96 


1.76 


0.95 


1.75 0.96 


2 






3 


2.65 


1.41 


2.64 


1.42 


2.64 


1.43 


2.63 


1.44 


3 






4 


3.53 


1.88 


3.52 


•1.89 


3.52 


1.91 


3.61 


1.92 


4 






5 


4.41 


2.35 


4.40 


2.37 


4.39 


2.39 


4.38 


2.40 


5 






6 


5.30 


2.82 


6.29 


2.84 


5.27 


2.86 


5.26 


2.89 


6 






7 


6.18 


3.29 


6.17 


3.31 


6.16 


3.34 


6.14 


3.37 


7 






8 


7.06 


3.76 


7.06 


3.79 


7.03 


3.82 


7.01 


3.85 


8 






9 


7.95 


4.23 


7.93 


4.26 


, 7.91 


4.29 


7.89 


4.33 


9 






10 
11 


8.83 


4.69 


8.81 


4.73 
5.21 


8.79 
9.67 


4,77 


8.77 


4.81 10 






9.71 


5.16 


9,69 


5,25 


9.64 


5.29 11 






12 


10.60 


5.63 


10.57 


5.68 


10.56 


5.73 


10.52 


5.77 12 






13 


11,48 


6.10 


11.46 


6.15 


11.42 


6.20 


11.40 


6.25 


13 






14 


12.36 


6.57 


12.33 


6.63 


12.30 


6.68 


12.27 


6.73 


14 






15 


13.24 


7.04 


13.21 


7.10 


13.18 


7.16 


13.16 


7.21 


15 






16 


14.13 


7.51 


114.09 


7.57 


14.06 


7.63 


14.03 


7.70 


16 






17 


15.01 


7.98 


14.98 


8.05 


14.94 


8.11 


14.90 


8,18 


17 






18 


15.89 


8.45 


15.86 


8.62 


15,82 


8.59 


15.78 


8.66 


18 






19 


16.78 


8.92 


16.74 


8.99 


16.70 


9.07 


16.66 


9.14 


19 






20 


17.66 


9.39 


17.62 


9.47 


17.58 


9.54 


17.53 


9.62 


20 
21 






21 


18.54 


9.86 


18.50 


9.94 


18,46 


10.02 


18.41 


10.10 






22 


19.42 


10.. 33 


19.38 


10.41 


19.33 


10.50 


19.29 


10.68 


22 






23 


20.31 


10.80 


20.26 


10.89 


20.21 


10.97 


20.16 


11.06 


23 






24 


21.19 


11.27 


21.14 


11.36 


21.09 


11.45 


21.04 


11.54 


24 






25 


22.07 


11.74 


22.02 


11.83 


21.97 


11.93 


21.92 


12.02 


25 






26 


22.96 


12.21 


22.90 


12,31 


22.85 


12.41 


22.79 


12.51 


26 






27 


23.84 


12.68 


23.78 


12.78 


23.73 


12.88 


23.67 


12.99 


27 




28 


24.72 


13.15 


24.66 


13.25 


24.61 


13.36 


24.55 


13.47 


28 




29 


25.61 


13.61 


25.55 


13.73 


25.49 


13.84 


25.43 


13.95 


29 




, 30 


26.49 


14.08 


26.43 


14.20 


26.36 


14.31 


26.30 


14.43 
14.91 


30 






31 


27.37 


14.55 


27.31 


14.67 


27.24 


14.79 


27.18 


31 






32 


28.25 


15,02 


28.19 


16.15 


28.12 


15.27 


28.06 


15.39 


32 






33 


29.14 


15.49 


29.07 


15.62 


29.00 


15.75 


28.93 


15.87 


33 






34 


30.02 


16.96 


29.96 


16.09 


29.88 


16.22 


29.81 


16.35 


34 






35 


30.90 


16.43 


30.83 


16.57 


30.76 


16.70 


30.69 


16.83 


'35 






36 


31.79 


16.90 


31.71 


17.04 


31.64 


17.18 


31.56 


17.32 


36 






37 


32.67 


17.37 


32.. 59 


17.51 


32.52 


17.65 


32.44 


17.80 


37 






38 


33.55 


17.84 


33.47 


17,99 


33.39 


18.13 


33.32 


18.28 


38 






39 


34.43 


18.31 


34.35 


18.46 


34.27 


18.61 


34.19 


18.76 


39 






40 
41 


35.32 


18.78 


35.24 


18.93 


35.15 


19.09 


35.07 


19.24 


40 






36.20 


19.25 


36.12 


19.41 


36.03 


19.56 


35.95 


19.72 


41 






42 


37.08 


19.72 


37.00 


19.88 


36.91 


20.04 


56.82 


20.20 


42 






43 


37.97 


20.19 


37.88 


20.35 


.37.79 


20.52 


37.70 


20.68 


43 






44 


38.85 


20.66 


38.76 


20.83 


38.67 


20,93 


38.58 


21.16 


44 






45 


39.73 


21.13 


39.64 


21.30 


39.55 


21.47 


39.45 


21.64 


45 






46 


40.62 


21.60 


40.52 


21.77 


40.43 


22.95 


40.33 


22.13 


46 






47 


41.50 


22.07 


41.40 


22.25 


41.30 


22.43 


41.21 


22.61 


47 






48 


42.38 


22.53 


42.28 


22.72 


4S.18 


22.90 


42.08 


23.09 


48 






49 


43.26 


23.00 


43.16 


23.19 


43. OP 


23.38 


42.96 


23.57 


49 






50 

1 
.52 

O 


44.15 


23.47 


44.04 


23.67 


43.94 


23.86 


43.84 


24.05 


50 






Dep. 


Lat. 


Dep. I^at. 


Dep. 


Lat. 


Dep. 


Lat. 


i 
1 




■ 


62 Deg. 


dli Deg. 


61iDeg. 


en Deg. 





TRAVERSE TABLE. 



69 



28 Deg. 



Lat. Dep, 



45.03 
45.91 
46.80 
47.68 
48.-56 
49.45 
50.33 
51.21 
52.09 
52.98 I 



23.94 
24.41 
24.83 
25 . 35 
25.82 
26.29 
26.76 
27.23 
27.70 
28.17 



,53.86 
54.74 
55.63 
56.51 
57.39 
58.27 
59.16 
60.04 
60.92 
61.81 



28.64 
29.11 
29.58 
30.05 
30.52 
30.99 
31.45 
31.92 
32.39 
32.86 



28i Deg. 



Lat. I Dep. 



44.93 

45.81 
46.69 
47.57 
48.45 
49.33 
50.21 
51.09 
51.97 
52.85 



62.69 
63.57 
64.46 
65.34 
66.22 
67.10 
67.99 
68.87 
69.75 
70.64 



71.52 
72.40 
73.28 
74.17 
75.05 
75.93 
76.82 
77.70 
78.58 
79.47 



80.35 
81.23 
82.11 
83.00 
83.88 
84.76 
85.65 
86.53 
87.41 
88.29 



53.73 

54.62 
55.50 
56.38 
57.26 
58.14 
59.02 
59.90 
60.78 
11.66 



33.33 1 

33.80 

34.27 

34.74 

35.21 

35.68 

36.15 

36.62 

37.09 

37.56 



38.03 
38.. 50 
38.97 
39.44 
39.91 
40.37 
40.84 
41.31 
41.78 
42.25 



42.72 
43.19 
43.66 
44.13 
44.60 
45.07 
45 . 54 
46.01 
46.48 
46.95 



Dep. Lat. 



62 Deg. 



62.54 
63.42 
64.30 
65.19 
66.07 
66.95 
67.83 
68.71 
69.59 
70.47 



24.14 
24.61 
25.09 
25.56 
26.03 
26.51 
26.98 
27.45 
27.93 
28.40 



28i Deg. 



Lat 



28.87 
29.35 
29.82 
30.29 
30.77 
31.24 
31.71 
32.19 
32 . 66 
33.13 
33.61 
34.08 
34.55 
35.03 
35.50 
35.97 
36.45 
36.92 
37.39 
37.87 



44.82 
45.70 
46.58 
47.46 
48.33 
49.21 
.50.09 
50.97 
51.85 
.52.73 



Dep. 



28| Deg. 



Lat. 



71.. 35 
73.23 
73.11 
73.99 
74.88 
75.76 
76.64 
77.52 
78.40 
79.28 



80.16 
81.04 
81.92 
82.80 
83.68 
84.. 57 
85.45 
86.33 
87.21 
88.09 



Dep. 



38.34 
38.81 
39.29 
39.76 
40.23 
40.71 
41.18 
41.65 
42.13 
42. -60 



43.07 
43.55 
44.02 
44.49 
44.97 
45.44 
45.91 
46.39 
46.86 
4 7.33 

Lat. 



61| Deg. 



53.61 
54.49 
55.37 
66.24 
57.12 
,58.00 
58.88 
59.76 
60.64 
61.52 



62.40 
63.27 
64.15 
65.03 
65.91 
66.79 
67.67 
68.. 55 
69.43 
70.31 



24.34 
24.81 
25.29 
25 . 77 
26.24 
26.72 
27.20 
27.68 
28.15 
28.63 



29.11 
29.58 
30.06 
30 . 54 
31.02 
31.49 
31.97 
32.45 
32 . 92 
33,40 



33.88 
34.36 
34.83 
35.31 
35.79 
36.26 
36.74 
37.22 
37.70 
38.17 



71.18 
72.06 
72.94 
73.82 
74.70 
75 58 
76.46 
77.34 
78.21 
79.09 



79.97 
80.85 
81.73 
82.61 
83.49 
84.37 
85.25 
86.12 
87.00 
87.88 



Dep. 



38.65 
39.13 
39.60 
40.08 
40.56 
41.04 
41.51 
41.99 
42.47 
42.94 



43.42 
43.90 

44.38 
44.85 
45.33 
45.81 
46.28 
46.76 
47.24 
47.72 



Lat. 



eii Deg. 



44.71 
45.59 
46.47 
47.34 
48.22 
49.10 
49.97 
50.85 
51.73 
52 . 60 



53.48 
54.36 
55.23 

56,11 
56.99 
,57,86 
58.74 
59.62 
60.49 
61.37 



Dep. 



24.. 53 
25.01 
25.49 
25,97 
26,45 
26.94 
27.42 
27.90 
28 . 38 
28.86 



62,25 
63.12 
64.00 
64.88 
65.75 
66,63 
67.51 
68.38 
69.26 
70.14 



71.01 
71.89 
72.77 
73.64 
74.52 
75.40 
76.28 
77.15 
78.03 
78.91 



29.34 
29.82 
30.30 
30.78 
31.26 
31.75 
32.23 
32.71 
33.19 
33.67 



34, 15 
34.63 
35,11 
35.59 
36.07 
36,56 
37.04 
37,. 52 
38,00 
38,48 



79.78 
80.66 
81.54 
82.41 
83.29 
84.17 
85.04 
85.92 
86.80 
87,67 



Dep. 



38.96 
39.44 
39.92 
40.40 
40.88 
41,36 
41.85 
42,33 
42,81 
43.2 9 
43.77 
44.25 
44.73 
45.21 
45.69 
46.17 
46.66 
47.14 
47.62 
48.10 



eU Deg. 



51 
52 
53 
54 
55 
56 
57 
58 
59 

_^ 
61 
62 
63 
64 
65 
6fi 
67 
68 
69 

_70 
71 
72 
73 
74 
75 
76 
77 
78 
79 



89 



TRAVERSE TABLE. 



1" 


29 Deg. 


2H Deg. 


29i Deg. 


29i Deg. 


C 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


0.87 


0.48 


0.87 


0.49 


0.87 


0.49. 


0.87 


0..50 


~T 


3 


1.75 


0.97 


1.74 


0.98 


1.74 


0.98 


1.74 


0.99 


2 


3 


2.62 


1.45 


2.62 


1.47 


2.61 


1.48 


2.60 


1.49 


3 


4 


3.50 


1.94 


3.49 


1.95 


3.48 


1.97 


3.47 


1.98 


4 


5 


4.37 




4.36 


2.44 


4.35 


2.46 


4.34 


2.48 


5 


6 


5.25 


2!91 


5.23 


2.93 


5.22 


2.95 


5.21 


2.98 


6 


7 


6.12 


3.39 


0.11 


3.4? 


6.09 


3.45 


6.08 


3.47 


7 


8 


7.00 


3.88 


6.98 


3.91 


6.96 


3.94 


6.95 


3.97 


8 


9 


7.87 


4.36 


7.85 


4.40 


7.83 


4.43 


7.81 


4.47 


9 


10 


8.75 


4.85 


8.72 
&.60 


4.89 


8.70 


4.92 


8.68 


4.90 


10 
11 


11 


9.62 


5.33 


5.37 


9.57 


5.42 


9.55 


5.46 


12 


10.50 


5.82 


10.47 


5.86 


10.44 


5.91 


10.42 


5.95 


12 


13 


11.37 


6.30 


11.34 


6.35 


11.31 


6.40 


11.29 


6.45 


13 


14 


12.24 


6.79 


12.21 


6.84 


12.18 


6.89 


J2.15 


6.95 


14 


15 


13.12 


7.27 


13.09 


7.33 


13.06 


7.39 


13.02 


7.44 


15 


16 


13.99 


7.76 


13.96 


7.82 


13.93 


7.88 


13.89 


7.94 


16 


17 


14.87 


8.24 


14.83 


8.31 


14.80 


8.37 


14.76 


8.44 


17 


18 


15.74 


8.73 


15.70 


8.80 


15.67 


8.86 


15.63 


8.93 


18 


19 


16.62 


9.21 


16.58 


9.28 


16.. 54 


9.36 


16.50 


9.43 


19 


20 


17.49 


9.70 


17.45 
18.32 


9.77 


17.41 
18.28 


9.85 
10.34 


17.36 


9.92 


20 


21 


18.37 


10.18 


10.26 


18.23 


10.42 


21 


22 


19.24 


10.67 


19.19 


10.75 


19.15 


10.83 


19.10 


10.92 


22 


23 


20.12 


11.15 


20.07 


11.24 


20.02 


11.33 


19.97 


n.4i 


23 


24 


20.99 


11.64 


20.94 


11.73 


20.89 


11.82 


20.84 


11.91 


24 


25 


21.87 


12.12 


21.81 


12.22 


21.76 


12.31 


21.70 


12.41 


25 


26 


22.74 


12.60 


22.68 


12.70 


22.63 


12.80 


22.57 


12.90 


26 


27 


23.61 


13.09 


23.56 


13.19 


23.50 


13.30 


23.44 


13.40 


27 


28 


24.49 


13.57 


24.43 


13.68 


24.. 37 


13.79 


24.31 


13.89 


28 


29 


25.36 


14.06 


25.30 


14.17 


25.24 


14.28 


25.18 


14.39 


29 


30 


26.24 


14.54 


26.17 


14.66 


26.11 


14.77 


26.05 


14.89 


30 


27.11 


15.03 


27.05 


15.15 


26.98 


15.27 


26.91 


15.38 


31 


32 


27.99 


15.51 


27.92 


15.64 


27.85 


15.76 


27.78 


15.88 


32 


33 


28.86 


16.00 


28.79 


16.12 


28.72 


16.25 


28.65 


16.38 


33 


34 


29.74 


16.48 


29.66 


16.61 


29.59 


16.74 


29.52 


16.87 


34 


35 


30.61 


16.97 


30.54 


17.10 


30.46 


17.23 


.30.39 


17.37 


35 


36 


31.49 


17.45 


31.41 


17.59 


31.33 


17.73 


31.26 


17.86 


36 


37 


32.36 


17.94 


32.28 


18.08 


32.20 


18.22 


.32.12 


1*8.36 


37 


38 


33.24 


18.42 


33.15 


18.57 


33.07 


18.71 


32.99 


18.86 


38 


39 


34.11 


18.91 


34.03 


19.06 


33.94 


19.20 


33.86 


19.35 


39 


40 
4T 


34.98 


19.39 


34.90 


19.54 


34.81 


19.70 


34.73 


19.85 


40 
41 


35.86 


19.88 


35.77 


20.03 


35.68 


20.19 


35.60 


20.34 


42 


36.73 


20.36 


36.64 


20.. 52 


36.55 


20.68 


36.46 


20.84 


42 


43 


37.61 


20.85 


37.52 


21.01 


37.43 


21.17 


37.33 


21.34 


43 


44 


38.48 


21.33 


38.39 


21.50 


38.30 


21.67 


38.20 


21.83 


44 


45 


39.36 


21.82 


39.26 


21.99 


39.17 


22.16 


39.07 


22.33 


45 


46 


40.23 


22.30 


40.13 


22.48 


40.04 


22.65 


39.94 


22.83 


46 


47 


41.11 


22.79 


41.01 


22.97 


40.91 


23.14 


40.81 


23.32 


47 


48 


41.98 


23.27 


41.88 


23.45 


41.78 


23.63 


41.67 


23.82 


48 


49 


42.86 


23.76 


42.75 


23.94 


42.65 


24.13 


42.54 


24.31 


49 


50_ 


43.73 


24.24 


43.62 


24.43 


43.52 


24.62 


43.41 


24.81 


50 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 

Q 


61 Deg. 


601 Deg. 


60i Deg. 


60i Deg. 



mi^Bm 



TKAVERSE TABLE. 



61 



51 


29 Deg. 


m Deg. 


2HDeg. 


291 Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep. 


Lat. 


Dep. 


44.61 


24.73 


44.50 


24,92 


44,39 


25.11 


44.28 


25.31 


51 


52 


45.48 


25.21 


45.37 


25.41 


45,26 


25.61 


45.15 


25.80 


52 


53 


46.35 


25.69 


46.24 


25.90 


46,13 


26.10 


46.01 


26.30 


53 


54 


47.23 


26.18 


47.11 


26.39 


47,00 


26.59 


46.88 


26.80 


54 


55 


48.10 


26,66 


47.99 


26,87 


47.87 


27.08 


47.75 


27,29 


55 


56 


48.98 


27,15 


48.86 


27.36 


48.74 


27.58 


48.62 


27,79 


56 


57 


49.85 


27,63 


49.73 


27.85 


49.61 


28.07 


49.49 


28.28 


5/ 


58 


50.73 


28,12 


50.60 


28.34 


50.48 


28.56 


50.36 


28.78 


58 


59 


51.60 


28.60 


51,48 


28.83 


51.35 


29,05 


51.22 


29.28 


59 


60 
61 


52.48 


29.09 


52.35 


29.32 


52.22 


29,55 


52.09 


29.77 


bO 


53.35 


29.57 


53. '^2 


29.81 


53.09 


30,04 


52.96 


30,27 


61 


69, 


54.23 


30.06 


54.09 


30.29 


53.96 


30,53 


53,83 


30,77 


62 


63 


55.10 


.30.54 


54.97 


30.78 


54.83 


31.02 


54,70 


31.26 


63 


64 


55.98 


31.03 


55.84 


31.27 


55.70 


31.52 


55.56 


31,76 


64 


65 


56.85 


31.51 


56.71 


31.76 


56.57 


32.01 


56.43 


32,25 


bb 


66 


57.72 


32.00 


57.58 


32.25 


57.44 


32,50 


57 , 30 


32.75 


66 


67 


58.60 


32.48 


58.46 


32.74 


,58,31 


32,99 


58,17 


33,25 


bV 


68 


59.47 


32.97 


59.33 


33.23 


59.18 


33,48 


59,04 


33,74 


68 


69 


60.. 35 


33.45 


60.20 


33.71 


60.05 


33.98 


59.91 


34.24 


b9 


70 

71 


61.22 


33.94 


61.07 


34.20 


60.92 


34.47 


60,77 


34.74 


70 


63.10 


34.42 


61.95 


34.69 


61.80 


34,96 


61,64 


35,23 


71 


72 


62.97 


34.91 


62.82 


35.18 


62,67 


35,45 


62,51 


35.73 


72 


73 


63.85 


35.39 


63.69 


35.67 


63,54 


35,95 


63.38 


36.22 


73 


74 


64.72 


35.88 


64,56 


36.16 


64,41 


36,44 


64,25 


36.72 


74 


75 


65.60 


36.36 


65.44 


36.65 


65,28 


36.93 


65.11 


37,22 


75 


76 


66.47 


36.85 


66.31 


37.14 


66.15 


37,42 


65.98 


37,71 


76 


77 


67.35 


37.33 


67.18 


37.62 


67.02 


37,92 


66,85 


38,21 


77 


78 


68.22 


37.82 


68.05 


38.11 


67.89 


38.41 


67,72 


38,70 


78 


79 


69.09 


38.30 


68.93 


38.60 


68.76 


38.90 


68,59 


39,20 


79 


80 
81 


69.97 
70.84 


38.78 


69.80 


39.09 


69.63 


39.39 


69.46 


39,70 


80 
~8T 


39.27 


70.67 


39.58 


70.50 


39.89 


70,32 


40.19 


82 


71.72 


39.75 


71.54 


40.07 


71.37 


40.38 


71.19 


40.69 


82 


83 


72.59 


40.24 


72.42 


40.56 


72.24 


40,87 


72,06 


41.19 


83 


84 


73.47 


40.72 


73.29 


41,04 


73,11 


41,36 


72,93 


41.68 


84 


85 


74.34 


41.21 


74.16 


41.. 53 


73.98 


41.86 


73.80 


42,18 


85 


86 


75.22 


41.69 


75.03 


42,02 


74.85 


42,35 


74.67 


42,67 


86 


87 


76.09 


42.18 


75.91 


42,51 


75.72 


42.84 


75,53 


43,17 i 871 


88 


76.97 


42.66 


76.78 


43,00 


76.59 


43,33 


76,40 


43.67 


88 


89 


77.84 


43.15 


77.65 


43,49 


77.46 


43.83 


77,27 


44,16 


89 


90 
91 


78.72 


43.63 


78.52 


43,98 


78.33 


44.32 


78,14 


44.66 


90 


79.59 


44.12 


79.40 


44.46 


79,20 


44,81 


79,01 


45.16 


91 


92 


80.46 


44.60 


80.27 


44,95 


80,07 


45.30 


79,87 


45.65 


92 


93 


81.34 


45.09 


81.14 


45.44 


80,94 


45,80 


80,74 


46.15 


93 


94 


82.21 


45.57 


82.01 


45.93 


81,81 


46.29 


181,61 


46.64 


94 


95 


83.09 


46.06 


82.89 


46.42 


82.68 


46.78 


82,48 


47.14 


95 


96 


83.96 


46.54 


83.76 


46.91 


83.55 


47.27 


83,35 


47.64 


96 


97 


84.84 


47.03 


84.63 


47,40 


84,42 


47.77 


84.22 


48.13 


97 


98 


85.71 


47.51 


85.50 


47.88 


85,29 


48.26 


85.08 


48.63 


98 


99 


86.59 


48.00 


86.38 


48.37 


86,17 


48.75 


85.95 


49.13 


99 


100 


87.46 


48.48 


87,25 


48.86 
Lat. 


87,04 


49.24 


86.82 


49.62 


100 

Q 


Dep. 


Lat. 


Dep. 


Dep. 


Lat. 


Dep, 


Lat. 


61 Deg. 


601 Deg. 


60i Deg. 


60i Deg. 



62 



TRAVERSE TABIB. 



o 

CD 


30 Deg. 


30i Deg. 


30^ Deg. 


30i Deg. 


% 

9 
1 


Lat. 


Dep. 1 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


0.87 


0..50 


0.86 


0.50 


~o'.m 


0.51 


0.86 


0.51 


2 


1.73 


1.00 


1.73 


l.Ol 


1.72 


1.02 


1.72 


1,02 


2 


3 


2.60 


1..50 


2.59 


1.51 


2.58 


1.52 


2.58 


1.53 




4 


3.46 


2.00 


3.46 


2.02 


3.45 


2,03 


3.44 


2.05 


4 


5 


4.33 


2.50 


4.32 


2.52 


4.31 


2,54 


4.30 


2.56 


5 


6 


5.20 


3.00 


5.18 


3.02 


5.17 


3.05 


5.16 


3.07 


6 


7 


6.06 


3.50 


6.05 


3.53 


6.03 


3.55 


6.02 


3,58 


7 


8 


6.93 


4.00 


6.91 


4.03 


6.89 


4.06 


6.88 


4.09 


8 


9 


7.79 


4.50 


7.77 


4.53 


7.75 


4.57 


7.73 


4.60 


9 


^ 


8.66 


5.00 


8.64 


5.04 


8.62 


5.08 


8.59 


5.11 


10 
11 


9.53 


5.50 


9.50 


5.54 


9.48 


5.58 


9.45 


5,62 


12 


10.39 


6.00 


10.37 


6.05 


10.34 


6.09 


10.31 


6.14 


12 


13 


11.26 


6.50 


11.23 


6.55 


11.20 


6.60 


11.17 


6.65 


13 


14 


12.12 


7.00 


12.09 


7.05 


12.06 


7.11 


12.03 


7.16 


14 


15 


12.99 


7.50 


12.96 


7.56 


12.92 


7.61 


12.89 


7.67 


15 


16 


13,86 


8.00 


13.82 


8.06 


13.79 


8.12 


13.75 


8.18 


16 


17 


14.72 


8.. 50 


14.69 


8.56 


14.65 


8.63 


14.61 


8.69 


17 


18 


15.59 


9.00 


15.55 


9.07 


15,51 


9.14 


15.47 


9.20 


18 


19 


16.45 


9.. 50 


16.41 


9.57 


16,37 


9.64 


16.33 


9.71 


19 


20 
21 


17.32 


10.00 


17.28 


10.08 


17,23 
18.09 


10.15 
10.66 


17.19 


10.23 


20 
21 


18.19 


10.50 


18.14 


10.. 58 


18.05 


10.74 


22 


19.05 


11.00 


19.00 


11.08 


18,96 


11.17 


18.91 


11.25 


23 


23 


19.92 


11.50 


19.87 


11.59 


19.82 


11.67 


19.77 


11.76 


23 


24 


20.78 


12.00 


20.73 


12.09 


20,68 


12.18 


20.63 


12.27 


24 


25 


21.65 


12.50 


21.60 


12.59 


21,54 


12.69 


21.49 


12.78 


25 


26 


22.52 


13.00 


22.46 


13.10 


22.40 


13.20 


22.34 


13.29 


26 


27 


23.38 


13.50 


23.32 


13.60 


23.26 


13.70 


23.20 


13.80 


27 


28 


24.25 


14.00 


24.19 


14.11 


24.13 


14.21 


24.06 


14.32 


28 


29 


25.11 


14.50 


25.05 


14.61 


24.99 


14.72 


24.92 


14.83 


29 


30 
-31 


25.98 


15.00 


25.92 


15.11 


25.85 


15.23 


25 . 78 


15.34 
15.85 


30 
31 


26.85 


15.50- 


20.78 


15.62 


26.71 


15.73 


26.64 


32 


27.71 


16.00 


27.64 


16.12 


27.57 


16.24 


27.50 


16.36 


32 


33 


28.. 58 


16.50 


28.51 


16.62 


28.43 


16.75 


28.36 


16.87 


33 


34 


29.44 


17.00 


29.37 


17.13 


29.30 


17.26 


29.22 


17.38 


34 


35 


30.31 


17.50 


30.23 


17.63 


30.16 


17.76 


.30.08 


17.90 


35 


36 


31.18 


18.00 


31.10 


18.14 


31,02 


18.27 


30.94 


18.41 


36 


37 


32.04 


18.50 


31.96 


18.64 


31.88 


18.78 


31.80 


18.92 


37 


38 


32.91 


19.00 


32.83 


19.14 


32.74 


19.29 


32.66 


19.43 


38 


39 


33.77 


19.50 


33.69 


19.65 


33.60 


19.79 


33.52 


19.94 


39 


40 
41 


34.64 


20.00 


34.55 


20.15 


34.47 


20.30 


34.38 


20.45 


40 
41 


35.51 


20.50 


35.42 


20.65 


35.33 


20.81 


35.24 


20,96 


42 


36.37 


21.00 


36 28 


21.16 


36.19 


21.32 


35.10 


21.47 


42 


43 


37.24 


21.50 


37.14 


21.66 


37.05 


21.82 


36.95 


21.99 


43 


44 


38.11 


22.00 


38.01 


22,17 


37.91 


22.33 


37.81 


22.. 50 


44 


45 


38.97 


22.50 


38.87 


22.67 


.38.77 


22.84 


38.67 


23.01 


45 


46 


39.84 


23.00 


39.74 


23.17 


39.63 


23.35 


39.. 53 


23.52 


46 


47 


40.70 


23.50 


40.60 


23.68 


40.50 


23.85 


40.39 


24.03 


47 


48 


41.57 


24.00 


41.46 


24.18 


41.36 


24.36 


41.25 


24,54 


48 


49 


42.44 


24.50 


42.33 


24,68 


42.22 


24.87 


42.11 


25,05 


49 


_50 

g 

s 


43.30 


25.00 


43.19 


25.19 


43.08 


25.38 


42.97 


25,56 


50 


Dep. 


Lat. 


Dep. 
59i 


Lat. 
Deg. 


Dep. 


Lat. 


Dep, 


Lat. 


s 
S 


60] 


Oeg. 


59| 


Deg. 


594 Deg. 



TRAVERSE TABLE. 



63 



91 
92 
93 
94 
95 
96 
97 
98 
99 
iOO 



30 Deg. 



Lat. 



44.17 
45.03 
45.90 
46.77 
47.63 
48.50 
49.36 
50.23 
51.10 
51.96 



52.83 
63.69 
54.56 
55.43 
56 . 29 
57.16 
58.02 
5S.89 
59 . 76 
60.62 



61.49 
62.35 
63.22 
64.09 
64.95 
65.82 
6R.68 
67.55 
08. 42 
69.28 



70.15 
71.01 
71.88 
72.75 
73.61 
74.48 
75.34 
76.21 
77.08 
77.94 



78.81 

79.67 

0.54 

1.41 

2.27 

3.14 

84.00 

84.87 

85.74 

86.60 



Dep. 



Dep. 



25.50 
26.00 
26.50 
27.00 
27.50 
28.00 
28.60 
29.00 
29.50 
30.00 



30.. 50 
31.00 
31.50 
32.00 
32.50 
33.00 
33.50 
34.00 
.34.50 
35.00 



35.. 50 
36.00 
36.50 
37.00 
37.50 
38.00 
38.50 
39.00 
39.50 
40.00 



40.50 
41.00 
41.. 50 
42.00 
42.50 
43.00 
43.50 
44.00 
44.50 
45.00 



45.50 
46.00 
46.50 
47.00 
47.50 
48.00 
48.50 
49.00 
49.50 
50.00 



Lat. 



60 Deg. 



30i Deg. 



Lat. 



44.06 
44.92 
45.78 
46.65 
47.51 
48.37 
49.24 
50.10 
50.97 
51.83 



52.69 
53.56 
54.42 
55 . 29 
66.15 
57.01 
57.88 
58.74 
59.60 
60.47 



78.61 
79.47 
80.34 
81.20 
82.06 
82.93 
83.79 
84.66 
85.52 
86.38 



Dep. 



Dep. 



25.69 
26.20 
26.70 
27.20 
27.71 
28. 2J 
28 . 7-.; 
29.22 
29 . 72 
30.2 3 
30.73 
31.23 
31.74 
32.24 
32,75 
33.25 
33.75 
34.26 
34.76 
35.26 



35.77 
36.27 
36.78 
37.28 
37.78 
38.29 
38.79 
39.29 
39.80 
40.30 



40.81 
41.31 
41.81 
42.-32 
42.82 
43.32 
43.83 
44.33 
44.84 
45 . 34 



30i Deg. 



Lat. Dep. 



43.94 
44.80 
45.67 
46.53 
47.39 
48.25 
49.11 
49.97 
50.84 
51.70 



.52 . 56 
53.42 
54.28 
56.14 
56.01 
56.87 
57.73 
58.59 
59.45 
60.31 



25.88 
26.39 
26.90 
27.41 
27.91 
28.42 
28.98 
29.44 
29.94 
30.45 



45.84 
46.35 
46.85 
47.35 
47.86 
48.36 
48.87 
49.37 
49.87 
50.38 



61.18 
62.04 
62 . 90 
63.76 
64.62 
65.48 
66.35 
67.21 
68.07 
68.93 



69.79 
70.65 

71.52 
72.38 
73.24 
74.10 
74.96 
75.82 
76.68 
77 . 55 



78.41 
79.27 
80.13 
80.99 
81.85 
82.72 
83.58 
84.44 
85.30 
86.16 



Lat. 



59i neg. 59i Deg. 



Dep. 



30.96 
31.47 
31.97 
32.48 
32.99 
33.50 
34.01 
34.61 
35 . 02 
35.63 



36.04 
36 . 54 
37.05 
37.56 
.38.07 
38.57 
39.08 
39.59 
40.10 
40.60 



41.11 
41.62 
42.13 
42.63 
43.14 
43.65 
44.16 
44.66 
46.17 
45.68 



46.19 
46.69 
47.20 
47.71 
48.22 
48.72 
49.23 
49.74 
50,25 
50.75 



Lat. 



30] Deg. 



Lat. 



43.83 
44.69 
45.56 
46.41 
47.27 
48.13 
48.99 
49.85 
50.70 
51.66 



Dep. 



52.42 
53.28 
54.14 
55.00 

55 . 86 

56 . 72 
57.58 
.58.44 
59.30 
60.16 



61.02 
61.88 
62.74 
I 63.60 
I 64.46 
65.31 
66.17 
67.03 
67.89 
6S . 75 



69.61 
70.47 
71.33 
72.19 
73.06 
73.91 
74.77 
75 . 63 
76.49 
77.35 



78.21 
79.07 
79.92 
80.78 
81.64 
82.50 
83.36 
84.22 
85.08 
85.94 



26.08 
26.59 
27.10 
27.61 
28.12 
28.63 
29.14 
29.65 
30.17 
30.68 



31.19 
31.70 
32.21 
32.72 
33.23 
33.75 
34.26 
34.77 
35.28 
36.79 



36.30 
36.81 
37.32 
37.84 
38.36 
38.86 
39.37 
39.88 
40.39 
40 . 90 



41.41 
41.93 
42.44 
42.95 
43.46 
43.97 
44.48 
44.99 
45.51 
46.02 



Dep. 



46.53 
47.04 
47.55 
48.06 
48.57 
49.08 
49.60 
50.11 
50.62 
51.13 



Lat. 



59i Deg. 



89 



64 



TRAVERSE TABLE. 



1 


31 Deg. 


3U Deg. 


SliDeg. 


3l| Deg. 


2 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




1 


0.86 


0.51 


0.85 


"0752" 


0.85 


0.52 


0,85 


0.53 


TT 




2 


1.71 


1.03 


1.71 


1.04 


1.71 


1.04 


1.70 


1.05 


2 




3 


2.57 


1.55 


2.56 


1.56 


2.56 


1.57 


2.55 


1.58 


3 




4 


3.43 


2.06 


3.42 


2.08 


3.41 


2.09 


3.40 


2.10 


4 




5 


4.29 


2.58 


4.27 


2.59 


4.26 


2.61 


4.25 


2.63 


5 




6 


5.14 


3.09 


5.13 


3.11 


5.12 


3.13 


5.10 


3.16 


6 




7 


6,00 


3.61 


5.98 


3.63 


5.97 


3.66 


5.95 


3.68 


7 




8 


6.86 


4.12 


6.84 


4.15 


6.82 


4.18 


6.80 


4.21 


8 




9 


7.71 


4.64 


7. 09 


4.67 


7.67 


4.70 


7.65 


4.74 


9 




10 

11 


8.57 
9.43 


5.15 


8.55 


5.19 


8.. 53 


5.22 


8.50 


5.26 


10 




5.67 


9.40 


5.71 


9.38 


5.75 


9.35 


5.79 


11 




12 


10.29 


6.18 


10.26 


6.23 


10.23 


6.27 


10.20 


6.31 


12 




13 


11.14 


6.70 


11.11 


6.74 


11.08 


6.79 


11.05 


6.84 


13 




14 12.00 1 


7.21 


11.97 


7.26 


11.94 


7.31 


11.90 


7.37 


14 




15 


12.86 


7.73 


12.82 


7.78 


12.79 


7.84 


12.76 


7.89 


15 




16 


13.71 


8.24 


13.68 


8.30 


13.64 


8.36 


13.61 


8.42 


16 




17 


14.57 


8.76 


14.53 


8.82 


14.49 


8.88 


14.46 


8.95 


17 




18 


15.43 


9.27 


15.39 


9.34 


15.35 


9.40 


15.31 


9.47 


18 




19 


16.29 


9.79 


16.24 


9.86 


16.20 


9.93 


16.16 


10.00 


19 




20 
21 


17.14 


10.30 


17.10 


10.38 


17.05 


10.45 


17.01 


10.52 


20 




18.00 


10.82 


17.95 


10.89 


17.91 


10.97 


17.86 


11.05 


21 




22 


18.86 


11.33 


18.81 


11.41 


18.76 


11.49 


18.71 


11.58 


22 




23 


19.71 


11.85 


19.66 


11.93 


19.61 


12.02 


19.56 


12.10 


23 




24 


20.57 


12.36 


20.52 


12.45 


20.46 


12.54 


20.41 


12.63 


24 




25 


21.43 


12.88 


2L.37 


12.97 


21.32 


13.06 


21.26 


13.16 


25 




26 


22.29 


13.39 


22.23 


13.49 


22.17 


13.58 


22.11 


13.68 


26 




27 


23.14 


13.91 


23.08 


14.01 


23 . 02 


14.11 


22.96 


14.21 


27 




28 


24.00 


14.42 


23 . 94 


14.53 


23.87 


14.63 


23.81 


14.73 


28 




29 


24.86 


14.94 


24.79 


15.04 


24.73 


15.15 


24.66 


15.26 


29 




30 


25.71 


15.45 


25.65 


15.56 


25.. 58 


15.67 


25.51 


15.79 


30 




-w 


26.57 


15.97 


26.. 50 


16.08 


26.43 


16.20 


126.36 


16.31 


31 




32 


27.43 


16.48 


27.36 


16.60 


27.28 


16.72 


27.21 


lCi.84 


33 




33 


28.29 


17.00 


28.21 


17.12 


28.14 


17.24 


28. Of. 


17.37 


33 




34 


29.14 


17.51 


29.07 


17.64 


28.99 


17.76 


28 . 91 


17.89 


34 




35 


30.00 


18,03 


29.92 


18.16 


29.84 


18.29 


29.76 


18.42 


35 




36 


30.86 


18.54 


30.78 


18.68 


30.70 


18.81 


30.61 


18.94 


36 




37 


31.72 


19.06 


31.63 


19.19 


31.55 


19.33 


31.46 


19.47 


37 




38 


32.57 


19.57 


32.49 


19.71 


32.40 


19.85 


32.31 


20.00 


38 




39 


33.43 


20.09 


33.34 


20.23 


33.25 


20.38 


33.16 


20 . 52 


39 




40 


34.29 


20.60 


34.20 


20.75 


34.11 


20.90 


34.01 


21.05 


40 
41 




41 


35.14 


21.12 


35.05 


21.27 


34.96 


21.42 


34.86 


21.57 




42 


36.00 


21.63 


35.91 


21.79 


35.81 


21.94 


35.71 


22.10 


42 




43 


36.86 


221.15 


36.76 


22.31 


36.66 


22.47 


36.57 


22.63 


43 




44 


37.72 


22.66 


37.62 


22.83 


37.52 


22.99 


37.42 


23.15 


44 




45 


38.57 


23.18 


38.47 


23.34 


38.37 


23.51 


38.27 


23.68 


45 




46 


39.43 


23.69 


39.33 


23.86 


39.22 


24.03 


39.12 


24.21 


46 




47 


40.29 


24.21 


40.18 


24.38 


40.07 


24.56 


39.97 


24 . 73 


47 




48 


41.14 


24.72 


41.04 


24.90 


40.93 


25.08 


40.82 


25.26 


48 




49 


42.00 


25.24 


41.89 


25.42 


41.78 


25.60 


41.67 


25.78 


49 




50 


42.86 


25.75 


42.75 


25.94 


42.63 


26.12 


42.52 


26.31 


50 




1 
Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 




69 


Deg. 


aSjDeg. 


58.i Deg. 


58i Deg. 


^ 

1 





TBAVEBSE TASUE. 



66 



p 

"51 


31 Deg. 


3U Deg. 


SlADeg. 


31} Deg. 


1 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


43.72 


26.27 


43.60 


26.46 


43.48 


26.65 


43.37 


26.84 


52 


44.57 


26.78 


44.46 


26.98 


44.34 


27.17 


44.22 


27.36 


52 


53 


45.43 


27.30 


45.31 


27.49 


45.19 


27.69 


45.07 


27.89 


53 


54 


46.29 


27.81 


46.17 


28.01 


46.04 


28.21 


45.92 


28.42 


54 


55 


47.14 


28.33 


47.02 


28.53 


46.90 


28.74 


46.77 


28.94 


55 


56 


48.00 


28.84 


47.88 


29.05 


47.75 


29.26 


47.62 


29.47 


56 


57 


48.86 


29.36 


48.73 


29.57 


48.60 


29.78 


48.47 


29.99 


57 


58 


49.72 


29.87 


49.58 


30.09 


49.45 


30.30 


49.32 


30.. 52 


58 


59 


50.57 


30.39 


50.44 


30.61 


50.31 


30.83 


.50.17 


31.05 


59 


60 


51.43 


30.90 


51.29 


31.13 


51.16 


31.35 


51.02 


31.57 


60 


61 


52.29 


31.42 


52.15 


31.65 


52.01 


31.87 


51.87 


32.10 


61 


62 


53.14 


31.93 


53.00 


32.16 


52.86 


32 . 39 


52 . 72 


32.63 


62 


63 


54.00 


32.45 


53.86 


32.68 


53.72 


32.92 


.53.57 


33.15 


63 


64 


54.86 


32.96 


54.71 


33.20 


.54.57 


33.44 


.54.42 


33.68 


64 


65 


55.72 


33.48 


55.57 


33.72 


55.42 


33.96 


55.27 


34.20 


65 


66 


56.57 


33.99 


56.42 


.34.24 


56.27 


,34.48 


56.12 


34.73 


66 


67 


57.43 


34.51 


57.28 


34.76 


57.13 


35.01 


56.98 


35.26 


67 


68 


58.29 


35.02 


58.13 


35.28 


57.98 


35.53 


57.82 


35 . 78 


68 


69 


59.14 


35.54 


58.99 


35.80 


58.83 


36.05 


58.67 


36.31 


69 


70 

71 


60.00 


36.05 
36.57 


59.84 


36.31 


59.68 


36.57 


59 . 52 


36.83 
37.36 


70 
71 


60.86 


60.70 


36.83 


60.54 


37.10 


60.37 


72 


61.72 


37.08 


61.55 


37.35 


61.39 


37.62 


61.23 


37.89 


72 


73 


62.57 


37.60 


62.41 


37.87 


62.24 


38.14 


62.08 


38.41 


73 


74 


63.43 


38.11 


63.26 


38.39 


63.10 


38.66 


62.93 


38.94 


74 


75 


64.29 


38.63 


64.12 


38.91 


63.95 


39.19 


63.78 


39.47 


75 


76 


65.14 


39.14 


64.97 


39.43 


64.80 


39.71 


64.63 


39.99 


76 


77 


66.00 


39.66 


65.83 


39.95 


65.65 


40.23 


65.48 


40.52 


77 


78 


66.86 


40.17 


66.68 


40.46 


66.51 


40.75 


66.33 


41.04 


78 


79 


67.72 


40.69 


67.54 


40.98 


67.36 


41.28 


67.18 


41.57 


79 


80 
81 


68.57 


41.20 


68.39 


41.50 


68.21 


41.80 


38.03 


42.10 


80 

81 


69.43 


41.72 


69.25 42.02 | 


69.06 


42.32 


68.88 


42.62 


82 


70.29 


42.23 


70.10 


42.54 


69.92 


42.84 


69.73 


43.15 


82 


83 


71.14 


42.75 


70.96 


43.06 


70.77 


43.. 37 


70.58 


43.68 


83 


84 


72.00 


43.26 


71.81 


43.58 


71.62 


43.89 


71.43 


44.20 


84 


85 


72.86 


43.78 


72.67 


44.10 


72.47 


44.41 


72.28 


44.73 


85 


86 


73.72 


44.29 


73.52 


44.61 


73.33 


44.93 


73.13 


45.25 


86 


87 


74.57 


44.81 


74.38 


45.13 


74.18 


45.46 


73.98 


45.78 


87 


88 


75.43 


45.32 


75.23 


45.65 


75.03 


45 . 98 


74.83 


46.31 


88 


89 


76.29 


45.84 


76.09 


46.17 


75.88 


46.. 50 


75.68 


46.83 


89 


90 
91 


77.15 


46.35 


76.94 


46.69 


76.74 


47.02 


76.. 5S 


47.36 


90 
91 


78.00 


46.87 


77.80 


47.21 


77.59 


47.55 


77.38 


47.89 


92 


78.86 


47.38 


78.65 


47.73 


78.44 


48.07 


78.23 


48.41 


92 


93 


79.72 


47.90 


79.51 


48.25 


79.30 


48.59 


79 . 08 


48.94 


93 


94 


80.57 


48.41 


80.36 


48.76 


80.15 


49.11 


79.93 


49.47 


94 


95 


81.43 


48.93 


81.22 


49.28 


81.00 


49.64 


80.78 


49.99 


95 


96 


82.29 


49.44 


82.07 


49.80 


81.85 


50.16 


81.63 


50.52 


96 


97 


83.15 


49.96 


82.93 


50.32 


82.71 


50.68 


82.48 


51.04 


97 


98 


84.00 


50.47 


83.78 


50.84 


83.56 


51.20 


83.33 


51.57 


98 


99 


84.86 


50.99 


84.64 


51.36 


84.41 


51.73 


84.18 


52.10 


99 


100 

1 


85.72 


51.50 


85.49 


51.88 


85.26 


52.25 


85.04 


52.62 


100 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


59 Deg. 


581 Deg. 


58i Deg. 


58i Deg. 



TBAVERSE TiLBLE. 



a 
? 


32 Deg. 


32i Deg. 


32i Deg. 


321 Deg. 


1 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


i 




1 


0.85 


0.53 


0.85 


0.53 


0.84 


0.54 


0.84 


0.54 


1 




2 


1.70 


1.06 


1.69 


1.07 


1.69 


1.07 


1.68 


1.08 


2 




3 


2.54 


1.59 


2.54 


1.60 


2.53 


1.61 


2.52 


1.62 


3 




4 


3.39 


2.12 


3.38 


2.13 


3.37 


2.15 


3.36 


2.16 


4 




5 


4.24 


2.65 


4.23 


2.67 


4.22 


2.69 


4.21 


2.70 


5 




6 


5.09 


3.18 


5.07 


3.20 


5.06 


3.22 


5.05 


3.25 


6 




7 


5.94 


3.71 


5.92 


3.74 


5.90 


3.76 


5.89 


3.79 


7 




8 


6.78 


4.24 


6.77 


4.27 


6.75 


4.30 


6.73 


4.33 


8 




9 


7.63 


4.77 


7.61 


4.80 


7.. 59 


4.84 


7.. 57 


4.87 


9 




10 
11 


8.48 


5.30 


8.46 


5.34 


8.43 


5.37 


8.41 


5.41 


10 




9.33 


5.83 


9.30 


5.87 


9.28 


5.91 


9.25 


5.95 


11 




12 


10.18 


6.36 


10.15 


6.40 


10.12 


6.45 


10.09 


6.49 


12 




13 


11.02 


6.89 


10.99 


6.94 


10.96 


6.98 


10.93 


7.03 


13 




14 


11.87 


7.42 


11.84 


7.47 


11.81 


7.52 


11.77 


7.57 


14 




15 


12.72 


7.95 


12.69 


8.00 


12.65 


8.06 


12.62 


8.11 


15 




16 


13.57 


8.48 


13.53 


8.54 


13.49 


8.60 


13.46 


8.66 


16 




17 


14.42 


9.01 


14.38 


9.07 


14.34 


9.13 


14.30 


9.20 


17 




18 


15.26 


9.54 


15.22 


9.61 


15.18 


9.67 


15.14 


9.74 


18 




19 


16.11 


10.07 


16.07 


10.14 


16.02 


10.21 


15.98 


10.28 


19 




20 


16.96 


10.60 


16.91 


10.67 


16.87 


10.75 !| 16.82 


10.82 


20 

21 




21 


17.81 


11.13 


17.76 


11.21 


17.71 


11.28 l| 17.66 


11.36 




22 


18.66 


11.66 


18.61 


11.74 


18.55 


11.82 18.50 


11.90 


22 




23 


19.51 


12.19 


19.45 


12.27 


19.40 


12.36 ! 19.34 


12.44 


23 




24 


20.35 


12.72 


20 . 30 


12.81 


20.24 


12.90 


20.18 


12.98 


24 




25 


21.20 


13.25 


21.14 


13.34 


21.08 


13.43 


21.03 


13.52 


25 




26 


22.05 


13.78 


21.99 


13.87 


21.93 


13.97 


21.87 


14.07 


26 




27 


22 . 90 


14.31 


22.83 


14.41 


22.77 


14.51 


22.71 


14.61 


27 




28 


23.75 


14.84 


23.68 


14.94 


23.61 


15.04 


23.55 


15.15 


28 




29 


24.59 


15.37 


24.53 


15.47 


24.46 


15.58 


24.39 


15.69 


29 




30 


25.44 


15.90 


25 . 37 


16.01 


25.30 


16.12 


25 . 23 


16.23 


30 




' 31 


26.29 


16.43 


26 . 22 


16.54 


26.15 


16.66 


26.07 


16.77 


31 




32 


27.14 


16.96 


27.06 


17.08 


26.99 


17.19 


26.91 


17.31 


32 




33 


27.99 


17.49 


27.91 


17.61 


27.83 


17.73 


27.75 


17.85 


33 




34 


28.83 


18.02 


28.75 


18.14 


28.68 


18.27 


28.60 


18.39 


34 




35 


29.68 


18.55 


29.60 


18.68 


29.52 


18.81 


29.44 


18.93 


35 




36 


30.53 


19.08 


30.45 


19.21 


30.36 


19.34 


30.28 


19.48 


36 




37 


31.38 


19.61 


31.29 


19.74 


31.21 


19.88 


31.12 


20.02 


37 




38 


32.23 


20.14 


32.14 


20.28 


32.05 


20.42 


31.96 


20.56 


38 




39 


33.07 


20.67 


32.98 


20.81 


32.89 


20.95 


32.80 


21.10 


39 




40 


33.92 


21.20 


33.83 


21.34 


33.74 
34.58 


21.49 


33.64 


21.64 


40 
41 




41 


34.77 


21.73 


34.67 


21.88 


22.03 


34.48 


22.18 




42 


35.62 


22.26 


35.52 


22.41 


35.42 


22.57 


35.32 


22 . 72 


42 




43 


36.47 


22.79 


36.37 


22.95 


36.27 


23.10 


36.16 


23.26 


43 




44 


37.31 


23.32 


37.21 


23.48 


37.11 


23.64 


37.01 


23.80 


44 




45 


38.16 


23.85 


38.06 


24.01 


37.95 


24.18 


37.85 


24.34 


45 




46 


39.01 


24.38 


38.90 


24.55 


38.80 


24.72 


38.69 


24.88 


46 




47 


39.86 


24.91 


39.75 


25.08 


39.64 


25.25 


39.53 


25.43 


47 




48 


40.71 


25.44 


40.59 


25.61 


40.48 


25.79 


40.37 


25.97 


48 




49 


41.55 


25.97 


41.44 


26.15 


41.33 


26.33 


41.21 


26.51 


49 




50 


42.40 


26.50 


42.29 


26.68 


42.17 


26.86 


42 . 05 


27.05 


50 




Q 


Dep, 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 
.2 
Q 




58 Deg. 


571 Deg, 


57tDeg. 


57i Deg. 





TEAVlBKSK TABLK. 



67 



p. 
1 

? 

51 


32 Deg. 


32i Deg. 


32i Deg. 


321 Deg. 


1 
"5l 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 

"is^of 


Dep. 

^7.40" 


Lat. 


Dep. 


43.25 


27.03 


43.13 


27.21 


42.89 


27.. 59 


52 


44.10 


27.56 


43.98 


27.75 


43.86 


27.94 


43 . 73 


28.13 


52 


53 


44.95 


28.09 


44.82 


28.28 


44.70 


28.48 


44.58 


28.67 


53 


54 


45.79 


28.62 


45.67 


28.82 


45.54 


29.01 


45.42 


29.21 


54 


55 


46.64 


29.15 


46.51 


29.35 


46.39 


29.55 


46.26 


29.75 


55 


56 


47.49 


29.68 


47.. 36 


29.88 


47.23 


30.09 


47.10 


30.29 


56 


57 


48.34 


30.21 


48.21 


30.42 


48.07 


Sa-63 


47.94 


30.84 


57 


58 


49.19 


30.74 


49.05 


30.95 


48.92 


31.16 


48.78 


31.38 


58 


59 


.50.03 


31.27 


49.90 


31.48 


49.76 


31.70 


49.62 


31.92 


59 


60 
61 


50.88 
51.73 


31.80 
32.33 


50 . 74 


32.02 


.50.60 


32.24 


50.46 
51.30 


32.46 


60 
61 


51.59 


32.55 1 


51.45 


32.78 


33.00 


62 


52.58 


32.85 


52.44 


33.08 


52.29 


33.31 


52.14 


33.54 


62 


63 


53.43 


33.38 


53.28 


33.62 


53.13 


33.85 


52.99 


34.08 


63 


64 


54.28 


33.91 


54.13 


.34.15 


.53.98 


34.39 


53.83 


34.62 


64 


65 


55.12 


34.44 


54 97 


34.68 


54.82 


34.92 


54.67 


35.16 


65 


66 


55.97 


.34.97 


55 . 82 


35.22 


55.66 


35.46 


55.51 


35.70 


66 


67 


56.82 


35.50 


56.66 


35.75 


56.51 


36.00 


56.35 


36.25 


67 


68 


57.67 


36.03 


57.51 


36.29 


57.35 


36.54 


,57.19 


36.79 


68 


69 


58.. 52 


36.56 


58.36 


36.82 


.58.19 


37.07 


.58.03 


37.33 


69 


70 
71 


59.36 


37.09 


59.20 


37.35 


59.04 


37.61 


58.87 


37.87 


70 

71 


60.21 


37.62 


60.05 


37.89 


59.88 


38.15 


,59.71 


38.41 


72 


61.06 


38.15 


60.89 


38.42 


60.72 


38.69 


60,5.5 


38.95 


72 


73 


61.91 


38.68 


61.74 


38.95 


61.57 


39.22 


61.40 


39.49 


73 


74 


62.76 


39.21 


62.58 


39.49 


62.41 


39.76 


62.24 


40.03 


74 


75 


63.60 


39.74 


63.43 


40.02 


63.25 


40.30 


63.08 


40.57 


75 


76 


64.45 


40.27 


64.28 


40.55 


64.10 


40.83 


,63.92 


41.11 


76 


77 


65.30 


40.80 


65.12 


41.09 


64.94 


41.37 


164.76 


41.65 


77 


78 


66.15 


41.33 


65.97 


41.62 


65.78 


41.91 


165.60 


42.20 


78 


79 


67.00 


41.86 


66.81 


42.16 


66.63 


42.45 


166.44 


42.74 


79 


80 
81 


67.84 


42.39 


67.66 


42.69 


67.47 


42.98 


! 67.28 


43.28 


80 
81 


68.69 


42 . 92 


68.50 


43.22 


68.31 


43.52 


168.12 


43.82 


82 


69.54 


43.45 


69.35 


43.76 


69.16 


44.06 


68.97 


44.36 


82 


83 


70.39 


43.98 


70.20 


44.29 


70.00 


44.60 


69.81 


44.90 


83 


84 


71.24 


44.51 


71.04 


44.82 


70.84 


45.13 


1 70.65 


45.44 


84 


85 


72.08 


45.04 


71.89 


45.36 


71.69 


45.67 


71.49 


45.98 


85 


86 


72.93 


45.57 


72.73 


45.89 


72.53 


46.21 


72.33 


46.52 


86 


87 


73.78 


46.10 


73.. 58 


46.42 


73.38 


46.75 


73.17 


47.06 


87 


88 


74.63 


46.63 


74.42 


46.96 


74.22 


47.28 


74.01 


47.61 


88 


89 


75.48 


47.16 


75.27 


47.49 


75.06 


47.82 


74.85 


48.15 


89 


90 
91 


76.. 92 


47.69 


76.12 


48.03 
48.56 


75.91 


48.36 


75.09 


48.69 


90 
91 


77.17 


48.22 


76.96 


76.75 


48.89 


: 76.53 


49.23 


92 


78.02 


48 . 75 


77.81 


49.09 


77.59 


49.43 


; 77.38 


49 77 


92 


93 


78.87 


49.28 


78.65 


49.63 


78.44 


49.97 


i 78.22 


.50.31 


93 


94 


79,72 


49.81 


79.50 


50.16 


79.28 


50.51 


179.06 


50.85 


94 


95 


80.56 


50.34 


80.34 


.50.69 


80.12 


51.04 


79.90 


51.39 


95 


96 


81.41 


50.87 


81.19 


51.23 


80.97 


51.. 58 


80.74 


51.93 


96 


97 


82.26 


51 .40 


82.04 


51.76 


81.81 


52.12 


81.58 


.52.47 


97 


98 


83.11 


51.93 


82.88 


52.29 


82.65 


52.66 


82.42 


53.02 


98 


99 


83.96 


.52.46 


83.73 


52.83 


83.50 


53.19 


83.26 


53.56 


99 


100 

1 
1 


84.80 


52.99 


84.57 


53.36 


84.34 


53.73 


84.10 


54.10 


100 


Dep. 


Lat. 


Dep. 1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


58 Deg. 


571 Deg. 


57i Deg. 


57i Deg. 



TRAVERSE TABLE. 





83 


Deg. 


33iDeg, 


33i Deg. 


33} Deg. 


1 


Lat. 


Dep. 


Lat. 


Dep. 


LatT 


Dep. 


Lat. 


Dep. 


0.84 


0.54 


0.84 


0.55 


0.83 


0.55 


0.83 


0.56 


1 


2 


1.68 


1.09 


1.67 


1. 10 


1.67 


1.10 


1.66 


1.11 


2 


3 


2.52 


1.63 


2.51 


1.64 


2.50 


1.06 


2.49 


1.67 


3 


4 


3.35 


2.18 


3.35 


2.19 


3.34 


2,21 


3.33 


2.22 


4 


5 


4.19 


2.72 


4.18 


2.74 


4.17 


2.76 


4.16 


2.78 


5 


6 


5,03 


3.27 


5.02 


3.29 


5.00 


3.31 


4.99 


3.33 


6 


7 


5.87 


3,81 


5.8f 


3.84 


5.84 


3.86 


5.82 


3.89 


7 


8 


6.71 


4,36 


6.6^ 


4.39 


6.67 


4.42 


6.65 


4.44 


8 


9 


r..55 


4.90 


7.53 


4.93 


7.50 


4.97 


7.48 


5.00 


9 


10 


8,39 


5.45 


8.30 


5.48 


8.34 


5.52 


8.31 


5.56 


10 


11 


9,23 


5.99 


9.20 


6.03 


9.17 


6.07 


9.15 


6.11 


11 


12 


10,06 


6.54 


10.04 


6.58 


10.01 


6.62 


9.98 


6.67 


12 


13 


10.90 


7.08 


10.87 


7.13 


10.84 


7.18 


10.81 


7.22 


13 


14 


11.74 


7.62 


11.71 


7.68 


11.67 


7.73 


11.64 


7.78 


14 


15 


12.58 


8.17 


12.. 54 


8.22 


12.51 


8.28 


12.47 


8.33 


15 


16 


13.42 


8.71 


13.38 


8.77 


13.34 


8.83 


13.30 


8.89 


16 


17 


14.26 


9.20 


14.22 


9.32 


14.18 


9.38 


14.13 


9.44 


17 


18 


15.10 


9.80 


15.05 


9.87 


15.01 


9.93 


14.97 


10.00 


18 


19 


15.93 


10.35 


15.89 


10.42 


15.84 


10.49 


15.80 


10.56 


19 


20, 


16.77 


10.89 


16.73 


10.97 


16.68 


11.04 


16.63 


11.11 


20 

21 


21 


17.61 


11.44 


17.56 


11.51 


17.51 


11. .59 


17.46 


11.67 


22 


18.45 


11.98 


18.40 


12.06 


)8.35 


12.14 


18.29 


12.22 


22 


23 


19.29 


12.53 


19.23 


12.61 


19.18 


12.69 


19.12 


12.78 


23 


24 


20.13 


13.07 


20.07 


13.16 


20.01 


13.25 


19.96 


13.33 


24 


25 


20,97 


13.62 


20.91 


13.71 


20.85 


13.80 


20.79 


13.89 


25 


26 


21.81 


14.16 


21.74 


14.26 


21.68 


14.35 


21.62 


14.44 


26 


27 


22.64 


14.71 


22.58 


14.80 


22.51 


14.90 


22.45 


15.00 


27 


28 


23.48 


15.25 


23.42 


15.35 


23.35 


15.45 


23.28 


15.56 


28 


29 


24.32 


15.79 


24.25 


15.90 


24.18 


16.01 


24.11 


16.11 


29 


30 
31 


25.16 


16.34 


25.09 


16.45 


25.02 

25.85 


16.56 


24.94 


16.67 


30 


20.00 


16.88 


25.92 


17.00 


17.11 


25.78 


17.22 


31 


32 


26.84 


17.43 


26.76 


17.55 


26.68 


17.66 


26.61 


17.78 


32 


33 


27.68 


17.97 


27.60 


18.09 


27.52 


18.21 


27.44 


18.33 


33 


34 


28.51 


18.52 


28.43 


18.64 


28.35 


18.77 


28.27 


13.89 


34 


35 


29.35 


19.06 


29.27 


19.19 


29.19 


19.32 


29.10 


19.44 


35 


36 


30.19 


19.61 


30.11 


19.74 


30.02 


19.87 


29.9:3 


20.00 


36 


37 


31.03 


20.15 


30.94 


20.29 


30.85 


20.42 


30.76 


20.56 


37 


38 


31.87 


20.70 


31.78 


20.84 


31.69 


20.97 


31.60 


21.11 


38 


39 


32 71 


21.24 


32.62 


21.. 38 


32.52 


21.53 


32.43 


21.67 


39 


40 
41 


33.55 


21.79 


33.45 


21.93 


.33.36 
34.19 


22.08 


33.26 


22.22 


40 
41 


34.39 


22.33 


34.29 


22.48 


22.63 


34.09 


22.78 


42 


35.22 


22.87 


35.12 


23.03 


35.02 


23.18 


34.92 


23.33 


42 


43 


36.06 


23.42 


35.96 


23.58 


35.86 


23.73 


35.75 


23.89 


43 


44 


36.90 


23.96 


36.80 


24.12 


36.69 


24.29 


36.58 


24.45 


44 


45 


37.74 


24.51 


37.63 


24.67 


37.. 52 


24.84 


37.42 


25.00 


45 


46 


38.58 


25.05 


38.47 


25.22 


38.36 


25.39 


38.25 


25.56 


46 


47 


39.42 


25.60 


39.31 


25.77 


39.19 


25 . 94 


39.08 


26.11 


47 


48 


40.28 


26.14 


40.14 


26.32 


40.03 


26.49 


39.91 


26.67 


48 


49 


41.09 


26.69 


40.98 


26.87 


40.86 


27.04 


40.74 


27.22 


49 


50 


41.93 


27.23 


41.81 


27. 4r 


41.69 


27.60 


41.. 57 


27.78 


50 


§■ 

1 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


i 


57 Beg. 


56* Deg. 


56i Deg. 


56 i Deg. 



TKAVEKSK TABLE. 



"51 


33 Deg. 


33iDeg. 


33i Deg. 


33i Deg. 


D 
5.' 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep 

28. li. 


Lat. 


Dep. 


42.77 


27.78 


42.65 


27.9tj 


42.53 


42.40 


28.33 


~51 


52 


43.61 


28.32 


43.49 


28.51 


43.36 


28.70 


43.24 


28.89 


62 


53 


44.45 


28.87 


44.32 


29.06 


44.20 


29.26 


44.07 


29.45 


63 


54 


45.29 


29.41 


45.16 


29.61 


45.03 


29.80 


44.90 


30.00 


54 


55 


46.13 


29.96 


46.00 


30.16 


45.86 


30.36 


45.73 


30.56 


55 


56 


46.97 


30 . 50 


46.83 


30.70 


46.70 


30.91 


46.56 


31.11 


56 


57 


47.80 


31.04 


47.67 


31.25 


47.53 


31.46 


47.39 


31.67 


67 


58 


48.64 


31.59 


48.50 


31.80 


48.37 


32.01 


48.23 


32.22 


68 


59 


49.48 


32.13 


49.34 


32.35 


49.20 


32.56 


49.06 


32.78 


59 


60 
61 


50.32 


32.68 


50.18 


32.90 


50.03 


33.12 


49.89 


33.33 


60 


61.16 


33.22 


51.01 


33.45 


50.87 


33.67 


50.72 


33.89 


"61 


62 


52.00 


33.77 


51.85 


33.99 


51.70 


34.22 


51.55 


34.45 


62 


63 


52.84 


34.31 


52.69 


34.54 


52.53 


34.77 


52.38 


35.00 


63 


64 


53.67 


34.86 


53.52 


35.09 


53.37 


35.32 


53.21 


36.56 


64 


65 


54.51 


35.40 


54.36 


.35.64 


54.20 


35.88 


54.05 


36.11 


65 


66 


55.35 


35.95 


55.19 


36.19 


55.04 


36.43 


54.88 


36.67 


66 


67 


56.19 


36.49 


56.03 


36.74 


55.87 


36.98 


.55.71 


37.22 


67 


68 


57.03 


37.04 


56.87 


37.28 


56.70 


37.53 


56.54 


37.78 


68 


69 


57.87 


37.58 


57.70 


37.83 


.57.54 


38.08 


.57.37 


38.33 


69 


70 
71 


58.71 


38.12 


.58.54 


38.38 


58.37 


38.64 


58.20 


38.89 


70 


59.55 


38.67 


59.38 


38.93 


59.21 


39.19 


59.03 


39.45 


71 


72 


60.38 


39.21 


60.21 


39.48 


60.04 


39.74 


,59.87 


40.00 


72 


73 


61.22 


39.76 


61.05 


40.03 


60.87 


40.29 


60.70 


40.56 


73 


74 


62.06 


40.30 


61.89 


40.57 


61.71 


40.84 


61.53 


41.11 


74 


75 


62.90 


40.85 


62.72 


41.12 


62., 54 


41.40 


62.36 


41.67 


75 


76 


63.74 


41.39 


63.56 


41.67 


63.38 


41.95 


63.19 


42.22 


76 


77 


64.58 


41.94 


64.39 


42.22 


64.21 


42.. 50 


64.02 


42.78 


77 


78 


65.42 


42.48 


65.23 


42.77 


65.04 


43.05 


64.85 


43.33 


78 


79 


66.25 


43.03 


66.07 


43.32 


65.88 


43.60 


66.69 


43.89 


79 


80 
81 


67.09 
67.93 


43.67 


66.90 


43.86 


66.71 


44.15 


66.. 52 


44.45 


80 


44.12 


67.74 


44.41 


67.54 


44.71 


67.35 


46.00 


81 


82 


68.77 


44.66 


68.58. 


44.96 


68.38 


45.26 


68.18 


45.56 


82 


83 


69.61 


45.20 


69.41 


45.51 


69.21 


45.81 


69.01 


46.11 


83 


84 


70.45 


45 . 75 


70.25 


46.05 


70.05 


46.36 


69.84 


46.67 


84 


85 


71.29 


46.29 


71.08 


46.60 


70.88 


46.91 


70.67 


47.22 


85 


86 


72.13 


46.84 


71.92 


47.15 


71.71 


47.47 


71.51 


47.78 


86 


87 


72.96 


47.38 


72.76 


47.70 


72.55 


48.02 


72.34 


48.33 


87 


88 


73.80 


47.93 


73.59 


48.25 


73.38 


48.57 


73.17 


48.89 


88 


89 


74.64 


48.47 


74.43 


48.80 


74.22 


49.12 


74.00 


49.45 


89 


90 
91 


75.48 


49.02 


75.27 
76.10 


49.35 


75.05 


49.67 


74.83 


.50.00 


90 


76.32 


49.66 


49.89 


75.88 


60.23 


75.66 


50.56 


91 


92 


77.16 


50.11 


76.94 


50.44 


76.72 


50.78 


76.50 


51.11 


92 


93 


78.00 


50.65 


77.77 


50.99 


77.55 


51.33 


77.33 


51.67 


93 


94 


78.83 


51.20 


78.61 


51.54 


78.39 


51.88 


78.16 


52.22 


94 


95 


79.67 


51.74 


79.45 


52.09 


79.22 


52.43 


78.99 


52.78 


95 


96 


80.51 


52.29 


80.28 


52.64 


80.05 


52.99 


79.82 


53.33 


96 


97 


81.35 


52.83 


81.12 


53.18 


80.89 


53.54 


80.65 


53.89 


97 


98 


82.19 


53.37 


81.96 


53.73 


81.72 


54.09 


81.48 


54.45 


98 


99 


83.03 


53.92 


82.79 


54. 2d 


82.55 


54.64 


82.32 


55.00 


99 


m 


83.87 


54.46 


83.63 


54.83 


83.39 


.55.19 


83.15 


55.56 


100 

1 
.2 


Dep. Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


57 Deg. 


561 Deg. 


56i Deg. 


56i Deg. 



70 



TBAVERSK TABLE. 



§ 


34 Deg. 


344 Deg. 


34i 


Deg. 


341 Deg. 


5 


Lat. 


Dep. 


Lat. 


Dep. 

~0:56 


Lat. 

~0.¥2' 


Dep. 


Lat. 


Dep. 


1 


0.83 


0.56 


0.83 


0.57 


0.82 


0..57 


1 


2 


1.66 


1.12 


1.65 


1.13 


1.65 


1.13 


1.64 


1.14 


2 


3 


2.49 


1.68 


2.48 


1.69 


2.47 


1.70 


2.46 


1.71 


3 


4 


3.32 


2.24 


3.31 


2.25 


3.30 


2.27 


3.29 


2.28 


4 


5 


4.15 


2.80 


4.13 


2.81 


4.12 


2.83 


4.11 


2.85 


5 


6 


4.97 


3.36 


4.96 


3.38 


4.94 


3.40 


4.93 


3.42 


6 


7 


5.80 


3.91 


5.79 


3.94 


5.77 


3.96 


5.75 


3.99 


7 


8 


6.63 


4.47 


6.61 


4.50 


6.59 


4.53 


6.57 


4.. 56 


8 


9 


7.46 


5.03 


7.44 


5.07 


7.42 


5.10 


7.39 


5.13 


9 


10 


8.29 


5 . 59 


8.27 


5.63 


8.24 


5.66 


8.22 


5.70 


10 


11 


9.12 


6.15 


9.09 


6.19 


9.07 


6.23 


9.04 


6.27 


11 


12 


9.95 


6.71 


9.92 


6.75 


9.89 


6.80 


9.86 


6.84 


12 


13 


10.78 


7.27 


10.75 


7.32 


10.71 


7.36 


10.68 


7.41 


13 


14 


11.61 


7.83 


11.57 


7.88 


11. .54 


7.93 


11.50 


7.98 


14 


15 


12.44 


8.39 


12.40 


8.44 


12.36 


8.50 


12.32 


8.55 


15 


16 


13.26 


8.95 


13.23 


9.00 


13.19 


9.06 


13.15 


9.12 


16 


17 


14.09 


9.51 


14.05 


9.. 57 


14.01 


9.63 


13.97 


9.69 


17 


18 


14.92 


10.07 


14.88 


10.13 


14.83 


10.20 


14.79 


10.26 


18 


19 


15.75 


10.62 


15.71 


10.69 


15.66 


10.76 


15.61 


10.83 


19 


20 


16.58 


11.18 


16.. 53 


11.26 
11.82 


16.48 


11.33 


16.43 


11.40 


20 


21 


17.41 


11.74 


17.36 


17.31 


11.89 


17.25 


11.97 


21 


22 


18.24 


12.30 


18.18 


12.38 


18.13 


12.46 


18.08 


12.54 


22 


23 


19.07 


12.86 


19.01 


12.94 


18.95 


13.03 


18.90 


13.11 


23 


24 


19.90 


13.42 


19.84 


13.51 


19.78 


13.59 


19.72 


13.68 


24 


25 


20.73 


13.98 


20 . 66 


14.07 


20.60 


14.16 


20.54 


14.25 


25 


26 


21.55 


14.54 


21.49 


14.63 


21.43 


14.73 


21.35 


14.82 


26 


27 


22.38 


15.10 


22.32 


15.20 


22.25 


15.29 


22.18 


15.39 


27 


28 


23.21 


15 66 


23.14 


15.76 


23.08 


15 86 


23.01 


15.96 


28 


29 


24.04 


16.22 


23.97 


16.. 32 


23.90 


16.43 


23.83 


16.53 


29 


. 30 


24.87 


16.78 


24.80 


16.88 


24.72 


16.99 


24.65 


17.10 


30 


31 


25.70 


17.. 33 


25.62 


17.45 


25.55 


17.56 


25.47 


17.67 


31 


32 


26.53 


17.89 


26.45 


18.01 


26.37 


18.12 


26.29 


18.24 


32 


33 


27.36 


IS. 45 


27.28 


18.57 


27.20 


18.69 


27.11 


18.81 


33 


34 


28.19 


19.01 


28.10 


19.14 


28.02 


19.26 


27.94 


19.38 


34 


35 


29.02 


19.57 


28.93 


19.70 


28.84 


19.82 


28.76 


19.95 


35 


36 


29.85 


20.13 


29.76 


20.26 


29.67 


20.39 


29.58 


20.52 


36 


37 


30.67 


20.69 


30.58 


20.82 


30.49 


20.96 


30.40 


21.09 


37 


38 


31.50 


21.25 


31.41 


21.39 


31.32 


21.52 


31.22 


21.66 


38 


39 


32.33 


21.81 


32.24 


21.95 


32.14 


22.09 


32.04 


22.23 


39 


40 


33.16 


22.37 


33.06 


22.51 


32.97 


22.06 


32.87 


22.80 


40 


41 


33.99 


22.93 


33.89 


23.07 


33.79 


23.22 


33.69 


23.. 37 


41 


42 


34.82 


23.49 


34.72 


23.64 


34.61 


23.79 


34.51 


23.94 


42 


43 


35.65 


24.05 


35.54 


24.20 


35.44 


24.36 


35.33 


24.51 


43 


44 


36.48 


24.60 


36.37 


24.70 


36.26 


24.92 


36.15 


25.08 


44 


45 


37.31 


25.16 


37.20 


25.. 33 


37.09 


25.49 


36.97 


25.65 


45 


46 


38.14 


25.72 


38.02 


25.89 


37.91 


26.05 


37.80 


26.22 


46 


47 


38.96 


26.28 


38.85 


26.45 


38.73 


26.62 


38.62 


26.79 


47 


48 


39.79 


26.84 


39.68 


27.01 


39.56 


27.19 


39.44 


27.36 


48 


49 


40.62 


27.40 


40.50 


27.58 


40.38 


27.75 


40.26 


27.93 


49 


50 


41.45 


27.96 


41.33] 28.14 


41.21 


28.32 


41.08 


28.50 


50 


i 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


8 


. 56 Deg. 


551 Deg. 


55^ 


Deg. 


55i 


Deg. 



TRAVERSE TABLE. 



71 



8 


34Deg. 


34i Deg. 


34i Deg. 


34J Deg. 






r.at. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




"51 


1 42.28 


28.52 


42.16 


28.70 


42.03 


28.89 


41.90 


29.07 


51 




52 


43.11 


29.08 


42.98 


29.27 


42.85 


29.45 


42.73 


29.64 


52 




53 


43.94 


29.64 


43.81 


29.83 


43.68 


.30.02 


43.55 


30.21 


53 




54 


44.77 


30.20 


44.64 


30.39 


44.. 50 


30.59 


44.37 


30.78 


64 




55 


45.60 


30.76 


45.46 


30 . 95 


45.33 


31.15 


45.19 


31.35 


55 




56 


46.43 


31.31 


46.29 


31.52 


46.15 


31.72 


46.01 


31.92 


56 




57 


47.26 


31.87 


47.12 


32.08 


46.98 


32.29 


46.83 


32.49 


57 




58 


48.08 


32.43 


47.94 


32.64 


47.80 


32.85 


47.66 


33.06 


58 




59 


48.91 


32.99 


48.77 


33.21 


48.62 


33.42 


48.48 


33.63 


59 




60 
61 


49.74 


33 . 55 


49.60 


33.77 


49.45 


33.98 


49.30 


34.20 


60 
61 




50.57 


34.11 


50.42 


.34.33 


60 . 27 


34.55 


.50.12 


34.77 




62 


51.40 


34.67 


61.25 


34.89 


61.10 


35.12 


50.94 


35.34 


62 




63 


.52.23 


35.23 


52.08 


35.46 


51.92 


35.68 


51.76 


35.91 


63 




64 


53.06 


36.79 


52.90 


36 . 02 


52 . 74 


36.26 


52.59 


36.48 


64 




65 


53 . 89 


36.36 


53.73 


36.68 


53.57 


36.82 


.53.41 


37.05 


66 




66 


54.72 


36.91 


54.55 


37.15 


.54.39 


37.38 


.54.23 


37.62 


66 




67 


55.55 


37.46 


55.38 


37.71 


55 . 22 


37.96 


55.05 


38.19 


67 




68 


•56.37 


38.03 


56.21 


38.27 


58.04 


38.52 


,55.87 


38.76 


68 




69 


57.20 


38.58 


57.03 


38.83 


56.86 


39.08 


56.69 


39.33 


69 




70 

71 


58.03 


39.14 


57.86 


39 . 40 


57.69 


39.65 


57.52 


39.90 


70 
71 




.58.86 


39.70 


58.69 


39.96 


58.51 


40.21 


58.34 


40.47 




72 


59.69 


40.26 


59.51 


40.. 5-2 


59.34 


40.78 


59.16 


41.04 


72 




73 


60.52 


40.83 


60.34 


41.08 


60 . 16 


41.35 


59.98 


41.61 


73 




74 


61.35 


41.38 


61.17 


41.65 


60.99 


41.91 


60.80 


42.18 


74 




75 


62.18 


41.94 


61.99 


42.21 


61.81 


42.48 


61.62 


42.75 


75 




76 


63.01 


42.50 


62.82 


42 . 77 


62 . 63 


43.05 


62.45 


43.32 


76 




77 


63.84 


43.06 


63.66 


43.34 


63.46 


43.61 


63.27 


43.89 


77 




78 


64.66 


43.62 


64.47 


43.90 


64.28 


44.18 


64.09 


44.46 


78 




79 


65.49 


44.18 


65 . 30 


44.46 


65.11 


44.75 


64.91 


45.03 


79 




80 
81 


66.32 


44.74 


66.13 


45.02 


65.93 


45.31 


66.73 


45.60 


80 
"81 




67.15 


45.29 


66.95 


45.59 


66.75 


45.88 


66.55 


46.17 




82 


67.98 


45.85 


67.78 


46.15 


67.58 


46.45 


67.37 


46.74 


82 




83 


68.81 


46.41 


68.61 


46.71 


68.40 


47.01 


68.20 


47.31 


83 




84 


69.64 


46.97 


69.43 


47.28 


69.23 


47.58 


69.02 


47.88 


84 




85 


70.47 


47.53 


70.26 


47.84 


70.05 


48.14 


69.84 


48.45 


85 




86 


71.30 


48.09 


71.09 


48.40 


70,87 


48.71 


70.66 


49.02 


86 




87 


72.13 


48.65 


71.91 


48.96 


"1.70 


49.28 


71.48 


49.59 


87 




88 


72.96 


49.21 


72.74 


49.53 


72.52 


49.84 


72.30 


50.16 


88 




89 


73.78 


49.77 


73.57 


50.09 


73.35 


50.41 


73.13 


.50.73 


89 




90 
~9l 


74.61 


50.33 


74.39 


50.65 


74.17 


50.98 


73.95 


51.30 


90 
~9l 




76.44 


60.89 


75.22 


51.22 


75.00 


51.54 


74.77 


51.87 




92 


76.27 


51.45 


76.05 


51.78 


75.82 


52.11 


75.59 


52,44 


92 




93 


77.10 


52.00 


76.87 


52.34 


76.64 


52.68 


76.41 


53.01 


93 




94 


77.93 


52.56 


77.70 


52.90 


77.47 


53.24 


77.23 


53.58 


94 




95 


78.76 


53.12 


78.53 


53.47 


78.29 


53.81 


78.06 


54.15 


95 




96 


79.59 


53.68 


79.36 


54.03 


79.12 


54.37 


78.88 


64.72 


96 




97 


80.42 


54.24 


80.18 


54.59 


79.94 


64.94 


79.70 


65.29 


97 




98 


81.25 


54.80 


81.01 


55.15 


80.76 


55.51 


80.52 


55.86 


98 




99 


82.07 


55.36 


81.83 


55.72 


81.59 


.56.07 


81. .34 


56,43 


99 




100 

1 


82.90 


55.92 


82.66 


56.28 


82.41 


56.64 


82.16 


57.00 


100 

i 
s 

5 




Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




56 Deg. 


551 Deg. 


551 Deg. 


55i Deg. 





72 



TRAVERSE TABLE. 



1' 

9 
1 


35 Deg. 1 


35i Deg. 


35iDeg. 


351 Deg. 


1 


Lat. 


Dep. 


Lat. 

0.82 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


0.82 


0.57 


0.58 


0.81 


0,53 


0,81 


"0^58" 


~T 


2 


1.64 


1.15 


1.63 


1,15 


1.63 


1,16 


1.62 


1.17 


2 


3 


2.46 


1.72 


2.45 


1.73 


2.44 


1.74 


2.43 


1.75 


3 


4 


3.28 


2.29 


3.27 


2.31 


3,26 


2.32 


3.25 


2,34 


4 


5 


4.10 


2.87 


4.08 


2.89 


4.07 


2,90 


4.06 


2.92 


5 


6 


4,91 


3.44 


4.90 


3.46 


4, MS 


3,48 


4.87 


3,51 


6 


7 


5.73 


4.01 


5.73 


4.04 


5.70 


4,06 


5.68 


4,09 


7 


8 


6.55 


4.59 


6.53 


4.62 


6,51 


4,6.3 


6,49 


4.67 


8 


9 


7.37 


5.16 


7.35 


5,19 


7.33 


5,23 


7.30 


5.26 


9 


10 
"ll 


8.)9 


5.74 


8.17 


5,77 


8,14 


5,31 


8,12 


6.43 


10 
11 


9.01 


r..:i\. 


8.93 


6,3-. 


8,96 


6.39 


8.93 


12 


9.83 


6.83 


9.30 


6.93 


9.77 


6,97 


9,74 


7.01 


12 


13 


10.65 


7.46 


10.62 


7,50 


10,. 58 


7.. 55 


10,55 


7.60 


13 


14 


11.47 


8.03 


11.43 


8,08 


11,40 


8.13 


11,38 


8,18 


14 


15 


12.29 


8.60 


12.25 


8.66 


12,21 


8,71 


12.17 


8,76 


■15 


16 


13.11 


9.18 


13.07 


9.23 


13.03 


9,29 1 


12,99 


9,35 


16 


17 


13.93 


9.75 


13.83 


9.81 


13,84 


9,87 


13,80 


9,93 


17 


18 


14.74 


10.32 


14.70 


10.39 


14,65 


10,45 


14,61 


10,52 


18 


19 


15.56 


10.90 


15.52 


10.97 


15,47 


11.03 


15,42 


11.10 


19 


20 
2L 


16.38 


11.47 


16.33 


11.54 
12,12 


16.28 


11,61 


16.23 
17,04 


11.68 
"12". 27 


20 

21 


17.20 


12.05 


17.15 


17,10 


12.19 


22 


18.02 


12.62 


17.97 


12,70 


17,91 


12,78 


17,85 


12,85 


22 


23 


18.84 


13.19 


18.78 


13.27 


18.72 


13.30 


18.67 


13,44 


23 


24 


19.66 


13.77 


19.60 


13,85 1 


19,54 


13.94 ' 19,48 


14,02 


24 


25 


20.48 


14.. 34 


20.42 


14.43 


20,35 


14,52 |: 20,29 


14,61 


25 


26 


21.30 


14.91 


21.23 


15.01 


21.17 


15,10 


i21.10 


15,19 


26 


27 


22.12 


15.49 


22.05 


15,58 


21.98 


15,68 


!21,91 


15.77 


27 


28 


22.94 


16.08 


22.87 


16,16 


22.80 


16,26 


1 22,72 


16.36 


28 


29 


23 . 76 


16.63 


23.68 


16,74 


23,61 


16,84 


1 23 . 54 


16.94 


29 


30 


24.57 


17.21 


24.50 


17,31 


24.42 


17,42 


1 24,35 


17.53 
18,11 


30 
31 


31 


25.39 


17. 7S 


25.32 


17.89 


25,24 


18,00 


i25.l6 


32 


26.21 


18.35 


26.13 


18,47 


26.05 


18.58 


25,97 


18,70 


32 


33 


27.03 


18.93 


26.95 


19.05 


26,87 


19,16 


1 26,78 


19,28 


33 


34 


27.85 


19.50 


27.77 


19,62 


27.68 


19,74 


127.59 


19,86 


34 


35 


28.67 


20.08 


28.58 


20.20 


28.49 


20,32 


28.41 


20.45 


35 


86 


29.49 


20.65 


29.40 


20,78 


29.31 


20,91 


29.22 


21,03 


36 


37 


30.31 


21.22 


30.22 


21,35 


30.12 


21,49 


30,03 


21,62 


37 


38 


31.13 


21.80 


31.03 


21.93 


30.94 


22,07 


30,84 


22,20 


38 


39 


31.95 


22.37 


31.85 


22.51 


31.75 


22,65 


31,65 


22,79 


39 


40 

41 


32.77 


22.94 


.32.67 


23.09 


32.56 


23,23 


32,46 
33,27 


23.37 
"23.95 


40 
41 


33.59 


23 . 52 


33.48 


23.66 


33,38 


23.81 


42 


34.40 


24.09 


34.30 


24,24 


34,19 


24.39 


34,09 


24154 


42 


43 


35.22 


24.66 


35.12 


24,82 


35.01 


24.97 


34,90 


25.12 


43 


44 


36.04 


25.24 


35.93 


25,39 


35.82 


25.55' 


35,71 


25.71 


44 


45 


36.86 


25.81 


36.75 


25.97 


36,64 


26,13 


36,. 52 


26.29 


45 


46 


37.68 


26.38 


37.57 


26,55 


37,45 


26,71 


37,33 


26.88 


46 


47 


33 . 50 


26.96 


38.38 


27,13 


38,26 


27.29 


38,14 


27.46 


47 


48 


39.32 


27.. ^3 


39.20 


27,70 


,39.08 


27,87 


38,96 


28,04 


48 


49 


40.14 


28.11 


40.02 


28,28 


39,89 


28,45 


39,77 


28,63 


49 


50 


40.96 


28_._63_ 


40.83 


28.86 


40.71 


29,04 


40,58 


29,21 


50 


8 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


(3 


d 


55 


Deg. 


54J Deg. 


54i Deg. 


544 Deg. 



I 



TUAVERSK TABLE. 



13 





35Deg. 


35iDeg. 


35i Deg. 


35i Deg. 


P 
51 


~51 


Lat. 


Dep. 


Lat. 

41.65 


Dep. 


Lat. Dep. 


Lat. 


Dep. 


41.78 


29.25 


29.43 


41.. 52 


29.62 


41.39 


29.80 


52 


42.60 


29.83 


42.47 


30.01 


42.33 


30.20 


42.20 


30.38 


52 


53 


43.42 


30.40 


43.28 


30.59 


43.15 


30.78 


43.01 


30.97 


53 


54 


44.23 


30.97 


44.10 


31.17 


43.96 


31.36 


43.82 


31.55 


54 


55 


45.05 


31.55 


44.92 


31.74 


44.78 


31.94 


44.64 


32.13 


55 


56 


45.87 


32.12 


45.73 


32.32 


45.. 59 


32.52 


45.45 


32.72 


56 


57 


46.69 


32.69 


46.-55 


32.90 


46.40 


33.10 


46.26 


33.30 


57 


58 


47.61 


33.27 


47.37 


33.47 


47.22 


33.68 


47.07 


33.89 


58 


59 


48.33 


33.84 


48.18 


34.05 


48.03 


34.26 


47.88 


34.47 


59 


60 
61 


49.15 


34.41 


49.00 


34.63 


48.85 


34.84 


48.69 


35.05 


60 
61 


49.97 


34.99 


49.82 


35.21 


49.66 


35.42 


49.51 


35.64 


62 


50 . 79 


35.56 


50.63 


35.78 


50.48 


36.00 


50.32 


36.22 


62 


63 


51.61 


36.14 


51.45 


36.36 


51.29 


36.58 


51.13 


36.81 


63 


64 


52.43 


36.71 


52.27 


36.94 


52.10 


37.16 


51.94 


37.39 


64 


65 


53.24 


37.28 


53.08 


37.51 


52.92 


37.75 


52.75 


37.98 


65 


66 


54.06 


37.86 


53.90 


38.09 


53.73 


38.33 


.53.56 


38.56 


66 


67 


54.88 


38.43 


.54.71 


38.67 


54.55 


38.91 


54.38 


39.14 


67 


68 


55 . 70 


39.00 


55.53 


3^.55 


55.36 


39.49 


55.19 


39.73 


68 


69 


56.52 


39.58 


56 . 35 


39.82 


56.17 


40.07 


56.00 


40.31 


69 


70 
71 


57.34 


40.15 


57. IC 


40.40 


56.99 


40.65 


,56.81 


40.90 


70 


58.16 


40.72 1 


,57.98 


40.98 


'57.80 


41.23 


57.62 


41.48 


71 


72 


58.98 


41.30 


58.80 


41.55 


.58.62 


41.81 


58.43 


42.07 


72 


73 


.59.80 


41.87 


59.61 


42.13 


59.43 


42.39 


59.24 


42.65 


73 


74 


60.62 


42.44 


60.43 


42.71 


60.24 


42.97 


60.06 


43.23 


74 


75 


61.44 


43.02 


61.25 


43.29 


61.06 


43.55 


60.87 


43.82 


75 


76 


62,26 


43.. 59 


62.06 


43.86 


61.87 


44.13 


61.68 


44.40' 761 


77 


63.07 


44.17 


62.88 


44.44 


62.69 


44.71 


62.49 


44.99 


77 


78 


63.89 


44.74 


63.70 


45.02 


63.50 


45.29 


63.30 


45.57 


78 


79 


64.71 


45.31 


64.51 


45.59 


64.32 


45.88 


64.11 


46.16 


79 


80 

81 


65.53 


45.89 


65.33 


46.17 
46.75 


65.13 


46.46 


64.93 


46.74 


80 


66.35 


48.46 


66.15 


65.94 


47.04 


65.74 


47.32 


81 


82 


67.17 


47.03 


66.90 


47.33 


66.76 


47.62 


66.55 


47.91 


82 


83 

84 


67.99 


47.61 


67.78 


47.90 


67.57 


48.20 


67.36 


48.49 


83 


68.81 


48.18 


68.60 


48.48 


68.39 


48.78 


68.17 


49.08 


84 


85 


69.63 


48.75 


69.41 


49.06 


69.20 


49.36 


68.98 


49.66 


85 


86 


70.45 


49.33 


70.23 


49.63 


70.01 


49.94 


69.80 


50.25 


86 


87 


71.27 


49.90 


71.05 


50.21 


70.83 


50.. 52 


70.61 


50.83 


87 


88 


72.09 


50.47 


71.86 


50.79 


71.64 


51.10 


71.42 


51.41 


88 


89 


72.90 


51.05 


72.68 


51.37 


72.46 


51.68 


72.23 


.52.00 


89 


90 
91 


73.72 


51.62 


73. .50 1 51.94 


73.27 


52.26 


73.04 


52.58 


90 


74.54 


52.20 


74.31 


52.52 


74.08 


52.84 


73.85 


53.17 


91 


92 


75.36 


52.77 


75.13 


53.10 


74.90 


53.42 


74.66 


53.75 


92 


9a 


76.18 


.53.34 


75.95 


53.67 


75.71 


54.01 


75.48 


54.34 


93 


94 


77.00 


53.92 


76.76 


54.25 


76.. 53 


54.. 59 


76.29 


54.92 


94 


95 


77.82 


54.49 


77.58 


54.83 


77.34 


55.17 


77.10 


55.50 


95 


96 


78.64 


55.06 


78.40 


55.41 


78.16 


55.75 


77.91 


56.09 


96 


97 


79.46 


55.64 


79.21 


55.98 


78.97 


56.33 


78.72 


56.67 


97 


98 


80.28 


56.21 


80.03 


56 . 56 


79.78 


.56.91 


79.53 


57.26 


98 


99 


81.10 


56.78 


80.85 


57.14 


80.60 


.57.49 


80.35 


57.84 


99 


100 

s 


81.92 


57.36 


81.66 


57.71 


81.41 


58.07 


81.16 


58.42 


100 

1 
1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 1 Lat. 


55 Deg. 


54i Deg. 


54i Deg. 


1 54iDeg. 



74 



TSAVERSE TABLE. 



c 

1 

3 
? 

1 


36 Deg. 


36i Deg. 


36i Deg. 


361 Deg. 


1 




Lat. 


|Dep. 


Lat. 


Dep. 


'Lat. 


Dep. 


Lat. 


Dep. 


1 




0.81 


0.59 


0.81 


0.59 


0.80 


0..59 


0.80 


0.60 




2 


1.62 


1,18 


1.61 


1.18 


1.61 


1.19 


1.60 


1.20 


2 




3 


2.43 


1.76 


2.42 


1 . 77 


2.41 


1.78 


2.40 


1.79 


3 




4 


3.24 


2.35 


3.23 


2.37 


3.22 


2.38 


3.20 


2.39 


4 




5 


4.05 


2.94 


4.03 


2.96 


4.02 


2.97 


4.01 


2.99 


5 




6 


4.85 


1 3.53 


4.84 


3.55 


4.82 


3.57 


4.81 


3.59 


6 




7 


5.66 


4.11 


5.65 


4.14 


5.63 


4.16 


5.61 


4.19 


7 




8 


6.47 


4.70 


6.45 


4.73 


6.43 


4.76 


6.41 


4.79 


8 




9 


7.28 


5.29 


7.26 


5.32 


7.23 


5.35 


7.21 


5.38 


9 




10 
11 


8.09 


5.88 


8.06 


5.91 


8.04 


5.95 


8.01 


5.98 


10 
11 




8.90 


6.47 


8.87 


6.50 


8.84 


6.54 


8.81 


6.58 




12 


9.71 


7.05 


9.68 


7.10 


9.65 


7.14 


9.61 


7.18 


12 




13 


10.52 


7.64 


10.48 


7.69 


10.45 


7.73 


10.42 


7.78 


13 




14 


11.33 


8.23 


11.29 


8.28 


1 1 . 25 


8.33 


11.22 


8.38 


14 




15 


12.14 


8.82 


12.10 


8.87 


12.06 


8.92 


12.02 


8.97 


15 




16 


12.94 


9.40 


12.90 


9.46 


12.86 


9.52 


12.82 


9.57 


16 




17 


13.75 


9.99 


13.71 


10.05 


13.67 


10.11 


13.62 


10.17 


17 




18 


14.56 


10.58 


14.52 


10.64 


14.47 


10.71 


14.42 


10.77 


18 




19 


15.37 


11.17 


15.32 


11.23 


15.27 


11.30 


15.22 


11.37 


19 




20 
21 


16.18 


11.76 


16.13 


11.83 


16.08 
16.88 


11.90 


16.03 


11.97 


20 
21 




16.99 


12.34 


16.94 


12.42 


12.49 


16.83 


12.56 




22 


17.80 


12.93 


17.74 


13.01 


17.68 


13.09 


17.63 


13.16 


22 




23 


18.61 


13.52 


18.55 


13.60 


18.49 


13.68 


18.43 


13.76 


23 




24 


19.42 


14.11 


L9.35 


14.19 


19.29 


14.28 


19.23 


14.36 


24 




25 


20.23 


14.69 


20.16 


14.78 


20.10 


14.87 


30.03 


14.96 


25 




26 


21.03 


15.28 


20.97 


15.37 


20.90 


'6.47 


20.83 


15.56 


26 




27 


21.84 


15.87 


21.77 


15.97 


21.70 


16.06 


21.63 


16.15 


27 




28 


22.65 


16.46 


22.53 


16.56 


22.51 


16.65 


22.44 


16.75 


28 




29 


23.46 


17.05 


23.39 


17.15 


23.31 


17.25 


23.24 


17.35 


29 




30 
31 


24.27 


17.63 


24.19 


17.74 


24.12 


17.84 
18.44 


24.04 


17.95 


30 




25.08 


18.22 


25.00 


18.33 


24.92 


24.84 


18., 55 


31 




32 


25.89 


18.81 


25.81 


18.92 


25.72 


19.03 


25.64 


19.15 


32 




33 


26.70 


19.40 


26.61 


19.51 


26.. 53 


19.63 


26.44 


19.74 


33 




34 


27.51 


19.98 


27.42 


20.10 


27.33 


20.22 


27.24 


20.34 


34 




35 


28.32 


20.57 


28.23 


20.70 


28.13 


20.82 


28.04 


20.94 


35 




36 


29.12 


21.16 


29.03 


21 .29 


28.94 


21.41 


28.85 


21.54 


36 




37 


29.93 


21.75 


29.84 


21.88 


29.74 


22.01 


29 . 65 


22.14 


37 




38 


30.74 


22.34 


30 . 64 


22.47 


30 . 55 


22.00 


30.45 


22.74 


38 




39 


31.55 


22 . 92 


31.45 


23.06 


31.35 


23.20 


31.25 


23.33 


39 




40 
41 


32.36 


23.51 


32.26 


23.65 1 


32.15 
32.96 


23.79 


32.05 


23.93 


40 
41 




33.17 


24.10 


33.06 


24.24 


24.39 


32.85 


24.53 




42 


33.98 


24.69 


33.87 


24.83 


33.76 


24.98 


.33.65 


25.13 


42 




43 


34.79 


25.27 


34.68 


25.43 


34.57 


25.58 


34.45 


25.73 


43 




44 


35.60 


25.86 


35.48 1 


26.02 


35.37 


26.17 


35.26 


26.33 


44 




45 


36.41 


26.45 


36.29 


26.61 


36.17 


26.77 


36.06 


26.92 


45 




46 


37.21 


27.04 


37.10 


27.20 


36.98 


27.36 


36.86 


27.52 


46 




47 


38.02 


27.63 37.90 


27.79 


37.78 


27.96 


37.66 


28.12 


47 




48 


38.83 


28.21 38.71 


28.38 


38.59 


28.55 


33.46 


28.72 


48 




49 


39.64 


28.80 39.52 


28. a7 


39.39 


29.15 


39.26 


29.32 


49 




_50 
o 


40.45 


29.39 40.32 


29.-57 


40.19 29.74 


40.06 


29.92 


_50 




Dep. 


Lat. 1 Dep. 


Lat. 


Dep. Lat. 


Dep. 


Lat. 




w ' 


Ii 








(§ 


54 Deg. 531 Deg. 


53J Deg. 


53i Deg. 


s 





TEAVERSE TABLE. 



76 



"5l 


36Deg. 


36i Deg. 


36i Deg. 


361 Deg. 


i 

~51 


Lat. 

41.26 


Dep. 


Lat. Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


29.98 


41.13 30.16 


41.00 


30.34 


40.86 


30.51 


52 


42.07 


30.56 


41.94 .30.75 


41.80 


30.93 


41.67 


31.11 


52 


53 


42.88 


31.15 


42.74 31.34 


42.60 


31.53 


42.47 


31.71 


53 


64 


43.69 


31.74 


43.55 31.93 


43.41 


32.12 


43.27 


32.31 


54 


55 


44.50 


32.33 


44.35 


32.52 


44.21 


32.72 


44.07 


32.91 


55 


56 


45.30 


32.92 


45.16 


33.11 


45.02 


33.31 


44.87 


33.51 


56 


57 


46.11 


33.60 


45.97 


33.70 


45.82 


33.90 


45.67 


34.10 


57 


58 


46.92 


34.09 


46.77 


34.30 


46.62 


34.50 


46.47 


34.70 


58 


59 


47.73 


34.68 


47.58 


34.89 


47.43 


35 09 


47.27 


35.30 


59 


60 
61 


48. .54 


35.27 


48.39 


35.48 


48 . 23 


35.69' 


48.08 


35.90 


60 
61 


49.35 


35.85 


49.19 


30.07 


49.04 


36.28* 


48.88 


36.50 


62 


50.16 


36.44 


.50.00 


36.66 


49.84 


36.88 


49.68 


37.10 


62 


63 


.50.97 


37.03 


50.81 


37.25 


,50.64 


37.47 


50.48 


37.69 


63 


64 


51.78 


37.62 


51.61 


37.84 


51.45 


38.07 


51.28 


38.29 


64 


65 


52.59 


38.21 


52.42 


38.44 


52.25 


38.66 


52.08 


38.89 


65 


66 


.53.40 


38.79 


.53 . 23 


39.03 


53.05 


39.26 


52.88 


39.49 


66 


67 


54.20 


39.38 


,54.03 


.39.62 


,53.86 


39.85 


53.68 


40.09 


67 


68 


.55.01 


39.97 


54.84 


40.21 


54.66 


40.45 


54.49 


40.69 


68 


69 


55.82 


40.56 


55.64 


40.80 


55.47 


41.04 


55.29 


4 1.28 


69 


70 
71 


56.63 


41.14 


56.45 


41.39 


56.27 
57.07 


41.64 


56.09 


41.88 

42.48 


70 
71 


57.44 


41.73 


57.26 


41.98 


42.23 j 56.89 


72 


58.25 


42.32 


.58.06 


42.57 


57.88 


42.83: .57.69 


43.08 


72 


73 


59.06 


42.91 


.58.87. 


43.17 


.58.68 


43.42; 58.49 


43.68 


73 


74 


59.87 


43.. 50, 


59.68 


43.76 


59.49 


44.02 59.29 


44.28 


74 


75 


60.68 


44.08 


60.48 


44.35 


60.29 


44.61 


60.09 


44.87 


75 


76 


61.49 


44.67 


61.29 


44.94 


61.09 


45.21 


60.90 


45.47 


76 


77 


62.29 


45.26 


62.10 


45.53 


61.90 


45.80 


61.70 


46.07 


77 


78 


63.10 


45.85 


62.90 


46.12 


62.70 


46.40 


62.50 


46.67 


78 


79 


63.91 


46.43 


63.71 


46.71 


63.. 50 


46.99 


63.30 


47.27 


79 


80 
81 


64.72 


47.02 


64.52 


47.30 


64.31 


47.. 59 


64.10 


47.87 


80 


65.53 


47.61 


65.32 


47.90 


65.11 


48.18 


64.90 


48.46 


82 


66.34 


48.20 


66.13 


48.49 


65.92 


48.78 


65.70 


49.06 


82 


83 


67.15 


48.79 


66.93 


49.08 


66.72 


49.37 


66.50 


49.66 


83 


84 


67.96 


49.37 


67.74 


49.67 


67.. 52 


49.97 


67.31 


.50.26 


84 


85 


68.77 


49.96 


68.55 


.50.26 


68.33 


50.56 


68.11 


50.86 


85 


86 


69.58 


50.55 


69.35 


50.85 


69.13 


51.15 


68.91 


51.46 


86 


87 


70.38 


51.14 


70.16 


51.44 


69.94 


51.75 


1 69.71 


52.05 


87 


88 


71.19 


51.73 


70.97 


52.04 


70.74 


52.34 


70.51 


52.65 


88 


89 


72.00 


52.31 


71.77 


52.63 


71.54 


52.94 


'71.31 


53.25 


89 


90 
91 


72.81 


.52.90 


72.58 


53.22 


72.35 


53.53 
54.13 


72.11 
, 72.91 


53.85 
54.45 


90 
91 


73.62 


53.49 


73.39 


.53.81 


73.15 


92 


74.43 


54.08 


74.19 


54.40 


73.95 


54.72 


173.72 


55.05 


92 


93 


75.24 


54.66 


75.00 


54.99 


74.76 


55.32 


74.52 


55.64 


93 


94 


76.05 


55.25 


75.81 


55.58 


75.56 


.55.91 


75.32 


50.24 


94 


95 


76.86 


55.84 


76.61 


56.17 


76.37 


56.51 


76.12 


56.84 


9.5 


96 


77.67 


56.43 


77.42 


56 . 77 


77.17 


57.10 


76.92 


57.44 


96 


97 


78.47 


57.02 


78.23 


57.36 


77.97 


57.70 


77.72 


58.04 


97 


98 


79.28 


57.60 


79.03 


57.95 


78.78 


58.29 


78.. 52 


58.64 


98 


99:80.09 


58.19 


79.84 


58.54 


79.58 


58.89 


79.. 32 


59.23 


99 


100 


80.90 


58.78 


80.64 


59.13 


80.39 


59.48 


80.13 


59.83 


100 

1 
Q 


i 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




54 Deg. 


531 Deg. 


53i Deg. 


53i Deg. 



76 



TRAVERSE TABLE. 



87 Deg. 



Lat. 



0,80 
1.60 
2.40 
3.19 
3.99 
4.79 
5.59 
6.39 
7.19 
7.99 



8.78 
9.58 
10.. 33 
11.18 
11.98 
12.78 
13.58 
14.3S 
15.17 
15.97 



16.77 
17.57 
18.37 
19.17 
19.97 
20.76 
21.56 
22.33 
23.16 
2 3.96 
24.76 
25.56 
26.35 
27.15 
27.95 
28.75 
29 . 55 
30.35 
31.15 
31.95 



Dep. 



0.60 
1.20 
1.81 
2.41 
3.01 
3.61 
4.21 
4.81 
5.42 
6.02 



6.62 

7.22 

7.82 

8.43 

9.03 

9.63 

10.23 

10.83 

11.43 

12.04 



12.64 
13.24 
13.84 
14.44 
15.05 
15.65 
16.25 
16.85 
17.45 
18.05 



32 . 74 

33 . .54 
34.34 
35.14 
35 . 94 
36.74 
37 . .54 
38.33 
39.13 
39.93 



18.06 
19.26 
19. 8t; 
20.46 
21.06 
21.67 
22.27 
22.87 
23.47 
24.07 



24.67 
25.28 
25 . 88 
26.48 
27.08 
27.68 
28.29 
28.89 
29.. 49 
30.09 



Dep. Lat. 



53 Deff. 



37i Deg. 
Lat. Dep. 



0.81) 
1.59 
2.39 
3.18 
3.98 
4.78 
5.57 
6.37 
7.16 
7.98 



8.76 
9 . 55 
10.35 
11.14 
11.94 
12.74 
13.53 
14.33 
15.12 
15.92 



16.72 
17.51 
18.31 
19.10 
19.90 
20.70 
21.49 
22.29 
23.08 
23 . 88 



24.68 
25.47 
26.27 
27.06 
27.86 
28.66 
29.45 
30.25 
31.04 
31.84 



32.64 
.33,43 
34,23 
35.02 
35,82 
36.62 
37.41 
38,21 
39.00 
39.80 



0,61 
1,21 
1,82 
2,42 
3,03 
3,63 
4.24 
4,84 
5.45 
6.05 



6,66 

7,2fi 
7.87 
8.47 
9.08 
9.68 
10.29 
10.90 
11,50 
12,11 



12,71 
13.32 
13.92 
14,53 
15.13 
15.74 
16.34 
16.95 
17,55 
18.16 



18,76 
19.37 
19.97 
20.58 
21.19 
21,79 
22,40 
23.00 
23.61 
24.21 



24.82 
25.42 
25.03 
26.63 
27.24 
27.84 
28,45 
29.05 
29,66 
30,26 



37i Deg. 



Lat, 



0.79 
1.59 
2,38 
3,17 
3.97 
4.76 
5,. 55 
6,35 
7,14 
7.93 



Dep; Lat, 



52J Deg. 



8.73 
9.52 
10.31 
11.11 
11.90 
12.69 
13,49 
14. 2S 
15.07 
15,87 



Dep, 



0,61 
1,22 
1.83 
2.43 
3.04 
3.65 
4,26 
4,87 
5,48 
6.09 



16.66 
17.45 
18,25 
19.04 
19.83 
20 . 63 
21,42 
22,21 
23.01 
23^80_ 
24.59 
25 . 39 
26.18 
26.97 
27.77 
28,56 
29.35 
.30.15 
.30.94 
31.73 



32.53 
.33.32 
34.11 
34.91 
35.70 
36.49 
37.29 
38.08 
38.87 
39,67 

Dep. 



6.70 

7,31 

7.91 

8.. 52 

9.13 

9.74 

10,35 

10,96 

11,07 

12,18 



12.78 
13.3.0 
14.00 
14,61 
15,22 
15,83 
16.44 
17,05 
17,65 
18.26 



18.87 
19,48 
20,09 
20.70 
21.31 
21.92 
22.52 
23.13 
23.74 
24.. 35 



24,96 
25,57 
26,18 
26,79 
27.39 
28.00 
28,61 
29.22 
29,83 
30,44 

Lat, 



37J 



Lat. Dep, 



52i Deg. 



0,79 

1,58 
2,37 
3.16 
3.95 

4,74 

5.53 

6.33 

7,12 

7,91 

8,70 

9,49 

10,28 

11.07 

11.86 

12.65 

13.44 

14,23 

15.02 

15.81 



16.60 
17.40 
18,19 
18,98 
19,77 
20,56 
21,35 
22.14 
22,93 
23.72 



24.51 
25.30 
26.09 
26,88 
27.67 
28.46 
29.26 
30,05 
30,84 
31,63 
32,42" 
33.21 
34.00 
.34.79 
35.58 
36.37 
37,16 
37,95 
38.74 
39.. 53 

Dep. 



0,61 

1.22 

1, 

2.45 

3. 

3,67 

4,29 

4,90 

5,51 

6,12 



6,73 
7,, 35 
7.96 

8.57 
9.18 
9,80 
10,41 
11 ,02 
1 1 , 63 
12,24 



12.86 
13,47 
14,08 
14.69 
15,31 
15.92 
16,53 
17,14 
17,75 
18.37 



18,98 
19,59 
20.20 
20,82 
21,43 
22,04 
22,65 
23.26 
23.88 
24,49 



25,10 
25,71 
26,33 
26.94 
27,55 
28.16 
28.77 
29,39 
30,00 
30.61 



521 Deg. 



TKAVKR3E TABLE. 



77 



■sr- 










""" 




51 


37 Deg. 


37i Deg. 


37i Deg. 


371 Deg. 


D 

i 




Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 




40.73 


30.69 


4C.60 


30.87 


40.46 


31.05 


40.33 


31.22 


51 




52 


41.53 


31.29 


41.39 


31.48 


41.25 


31.66 


41.12 


31.84 


52 


53 


43.33 


31.90 


42.19 


32.08 


42.05 


.32.26 


41.91 


32.45 


53 


54 


43.13 


32.50 


42.98 


32.69 


42.84 


33.87 


42.70 


33.06 


54 




55 


43.92 


33.10 


43.78 


33.29 


43.63 


33.48 


43.49 


33.67 


55 




66 


44.72 


33.70 


44.58 


33.90 


44.43 


34.09 


44.28 


34.28 


56 




57 


45.52 


34.30 


45.37 


34.50 


45.33 


34.70 


45 . 07 


34.90 


57 




58 


46.32 


34.91 


46.17 


35.11 


46.01 


35.31 


45.86 


35.51- 


58 




59 


47.12 


35.51 


46.96 


35.71 


46.81 


35.92 


46.65 


36.12 


59 




60 
61 


47.92 


36.11 


47.76 


36.32 


47.60 


36.53 
37.13 


47.44 
48.23 


36.73 


60 




48.72 


36.71 


48.56 


36.92 


48.39 


37.. 35 


61 




62 


49 . 52 


37.31 


49.35 


37.53 


49.19 


37.74 


49.02 


37.96 


62 




63 


50.31 


37.91 


.50.15 


38.13 


49.98 


38.35 


49.81 


38.57 


63 




64 


51.11 


38.. 52 


50.94 


38.74 


50.77 


38.96 


50.60 


39.18 


64 




65 


51.91 


39.12 


51.74 


39.34 


51.57 


39 . 57 


51.39 


39.79 


65 




66 


5.2.71 


39 . 72 


52.54 


39.95 


52.36 


40.18 


53.19 


40.41 


66 




67 


53.51 


40.32 


,v3.33 


40.55 


53.15 


40.79 


52 . 98 


4i.02 


67 




OS 


.54.31 


40 . 92 


54.13 


41.16 


.53.95 


41.40 


53.77 


41.63 


68 




69 


55.11 


41.53 


54.92 


41.77 


54.74 


42.00 


54.. 56 


43.24 


69 




70 


55.90 


42.13 


55 . 72 


42.37 


55.53 


42.61 


55 . 35 


43.86 


70 




71 


56.70 


42.73 


56.52 


42.98 


56.33 


43.33 


56.14 


43.47 


71 




72 


57.50 


43.33 


57.31 


43.58 


57.12 


43.83 


.56.93 


44.08 


73 




73 


.58.30 


43.93 


58 . 11 


44.19 


57.91 


44.44 


.57.72 


44.69 


73 




74 


59.10 


44.53 


58.90 


44.79 


.58.71 


45.05 


58.51 


45.30 


74 




75 


59.90 


45.14 


59.70 


45.40 


59 . 50 


45.66 


.59.30 


45 . 93 


75 




76 


60.70 


45 . 74 


60.50 


46.00 


60.29 


46.27 


60.09 


46.53 


76 




77 


61.49 


46.34 


61.29 


46.61 


61.09 


46.87 


60.88 


47.14 


77 




78 


63.29 


46 . 94 


62.09 


47.21 


61.88 


47.48 


61.67 


47.75 


78 




79 


63.09 


47.54 


63.88 


47.83 


62.67 


48.09 


62.46 


48.37 79 




80 
81 


63.89 
64.69 


48.15 


63 . 68 


48.42 


63.47 


48.70 
49.31 


63.36 


48.98 


^0 
81 




48 . 75 


64.48 


49.03 


64.26 


04 . 05 


49.. 59 




82 


65.49 


49 . 35 


65.37 


49.63 


65.05 


49.93 


64.84 


.50.20 


82 




83 


66.29 


49.95 


66.07 


.50.24 


65.85 


50.53 


65 . 63 


.50.81 


83 




84 


67.09 


50.55 


66.86 


50.84 


66.64 


51.14 


66.42 


51.43 


84 




85 


67.88 


51.15 


67.66 


51.45 


67.43 


51.74 


67.21 


.52.04 


85 




86 


68.68 


51.76 


68.46 


.52.06 


68.23 


.52.35 


68.00 


,52.65 


86 




87 


69.48 


.53.36 


69.35 


.52.66 


69.02 


52.96 


68.79 


.53.26 


87 




88 


70.28 


52.96 


70.05 


53.27 


69.82 


.53.57 


69.. 58 


.53.88 


88 




89 


71.08 


53.. 56 


70.84 


53.87 


W.Ol 


54.18 


70.37 


54.49 


89 




90 
91 


71.88 


,54.16 


71.64 


54.48 


71.40 


.54.79 


71.16 


55.10 


90 




72.68 


54.77 


73.44 


55 . 08 


72.30 


55.40 


71.95 


,55.71 


■ 91 


92 


73.47 


55.37 


73.23 


55.69 


73.99 


56.01 


72.74 


56 . 32 


92 




93 


74.27 


55.97 


74.03 


56.29 


73.78 


56.61 


73.. 53 


.56.94 


93 




94 


75.07 


56.57 


74.82 


56.90 


74.58 


57.22 


74.32 


57.. 55 


94 




95 


75.87 


57.17 


75.62 


57.50 


1 75.37 


57.83 


75.12 


.58.16 


95 




96 


76.67 


57.77 


76.42 


58.11 


76.16 


58.44 


75.91 


58.77 


96 




97 


77.47 


58.38 


77.21 


.58.7] 


76.96 


59.05 


76 . 70 


59.39 


97 




98 


78.27 


58.98 


78.01 


59.32 


77.75 


59.66 


77.49 


60.00 


98 




99 


79.06 


59 . 58 


78.80 


59.92 


78.. 54 


60.27 


78.28 


60.61 


99 




100 
6 

.2 

Q 


79.86 


60.18 


79.60 


60.53 


79.34 


60.88 


79.07 


6J.22 


100 




Dep. 


L... 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


s 

a 
Q 




53 Deg. 


52| Deg. 


52^ Deg. 


52^ Deg. 





7S 




■ 


TRAVKKSE TABLE. 








g 


38 Deg. 


38i Deg. 


38i Deg. 


38fDeg. 


2 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.79 


0.62 


0.79 


0.62 


0.78 


0.62 


0.78 


0.63 


1 j 


2 


1.58 


1.23 


1.57 


1.24 


1.57 


1.24 


1.56 


1.25 


2 i 


3 


2.36 


1.85 


2.36 


1.86 


2.35 


1.87 


2.34 


1.88 


3 


4 


3.15 


2.46 


3.14 


2.48 


3.13 


2.49 


3.12 


2.50 


4 


5 


3.94 


3.08 


3.93 


3.10 


3.91 


3.11 


3.90 


3.13 


5 ' 


6 


4.73 


3.69 


4.71 


3.71 


4.70 


3.74 


4.68 


3.76 


6 


7 


5.52 


4.31 


5.50 


4.33 


5.48 


4.36 


5.46 


4.38 


7 


8 


6.30 


4.93 


6.28 


4.95 


6.26 


4.98 


6.24 


5.01 


8 


9 


7.09 


5.. 54 


7.07 


5.57 


7.04 


5.60 


7.02 


5.63 


9 il 


10 
11 


7.88 6.16| 


7.85 


6.19 


7.83 
8.61 


6.23 


7.80 


6.26 


10 


8.67 


6.77 


8.64 


6.81 


6.85 


8 . 58 


6.89 


11 


12 


9.46 


7.39 


9.42 


7.43 


9.39 


7.47 


9.36 


7.51 


12 


13 


10.24 


8.00 


10.21 


8.05 


10.17 


8.09 


10.14 


8.14 


13 


14 


11.03 


8.62 


10.99 


8.67 


10.96 


8.72 


10.92 


8.76 


14 


15 


11.82 


9.23 


11.78 


9.29 


11.74 


9.34 


11.70 


9.39 


15 ; 


16 


12.61 


9.85 


12.57 


9.91 


12.52 


9.96 


12.48 


10.01 


16 


17 


13.40 


10.47 


13.35 


10.52 


13.30 


10.58 


13.26 


10.64 


17 


18 


14.18 


11.08 


14.14 


11.14 


14.09 1 11.21 


14.04 


11.27 


18 


19 i 14.97 


11.70 


14.92 


11.76 


14.87 


11.83 


14.82 


11.89 


19 


20 


15.76 


12.31 


15.71 


12.38 


15.65 


12.45 


15.60 


12.52 


20 


21 


16.55 


12.93 


16.49 


13.00 


16.43 


13.07 


16.38 


13.14 


21 


22 


17.34 


13.54 


17.28 


13.62 


17.22 


13.70 


17.16 


13.77 


22 


23 


IB.lii 


14.16 


18.06 


14.24 


18.00 


14.32 


17.94 


14.40 


23 


24 


18.91 


14.78 


18.85 


14.86 


18.78 


14.94 


18.72 


15.02 


24 


25 


19.70 


15.39 


19.63 


15.48 


19.. 57 


15.56 


19.50 


15.65 


25 


26 


20.49 


16.01 


20.42 


16.10 


20 . 35 


16.19 


20.28 


16.27 


26 


27 


21.28 


16.62 


21.20 


16.72 


21.13 


16.81 


21.06 


16.90 


27 


28 


22.06 


17.24 


21.99 


17.33 


21.91 


17.43 


21.84 


17.-53 


28 


29 


22.85 


17.85 


22.77 


17.95 


22.70 


18.05 


22 . 62 


18.15 


29 


30 


23.64 


18.47 


23.56 


18.57 


23.48 


18. G8 


23.40 


18.78 


30 


ST 


24.43 


19.09 


24.34 


19.19 


24.26 


19.30 


24.18 


19.40 


31 


32 


25.22 


19.70 


25.13 


19.81 


25.04 


19.92 


24.96 


20.03 


32 


33 


26.00 


20.32 


25.92 


20.43 


25.83 


20.54 


25.74 


20.66 


33 


34 


26.79 


20.93 


26.70 


21.05 


26.61 


21.17 


26.52 


21.28 


34 


35 


27.. 58 


21.55 


27.49 


21.67 


37.39 


31.79 


27.30 


21.91 


35 


36 


28.37 


22.16 


28.27 


22.29 


28.17 


22.41 


28.08 


22.. 53 


36 


37 


29.16 


22.78 


29.06 


22.91 


28.96 


23.03 


28.86 


23.16 


37 


38 


29.94 


23.40 


29.84 


23.53 


29.74 


23.66 


29.64 


23.79 


38 


39 


30.73 


24.01 


30.63 


24. ]4 


.30.52 


24.28 


30.42 


24.41 


39 


40 


31.52 


24.63 


31.41 


24.76 
25.38 


31.30 


24.90 


31.20 


25.04 


40 
41 


41 


32.31 


25.24 


32.20 


32.09 


25.52 


31.98 


25.66 


42 


33.10 


25.86 


.92.98 


26.00 


32.87 


26.15 


32.76 


26.29 


42 


43 


33.88 


26.47 


33.77 


26.62 


33.65 


26.77 


33.53 


26.91 


43 


44 


34.67 


27.09 


34.55 


27.24 


34.43 


27.39 


34.31 


27.54 


44 


45 


35.46 


27.70 


35.34 


27.86 


35.22 


28.01 


35.09 


28.17 


45 


46 


36.25 


28.32 


36.12 


28.48 


36.00 


28.64 


35.87 


28.79 


46 


47 


37.04 


28.94 


36.91 


29.10 


36.78 


29.26 


36.65 


29.42 


47 


48 


37.82 


29.-55 


37.70 


29.72 


37.57 


29.88 


37.43 


30.04 


48 


49 


38.61 


30.17 


38.48 


30.34 


38.35 


30.50 


38.21 


30.67 


49 


sl 


39.40 


30.78 


39.27 


30.95 


39.13 


31.13 


38.99 


31.30 


50 


1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


O 


52 Deg. 


51i Deg. 


5lh Deg. 


514 Deg. 



TRAVERSE TABLE. 



79 



p 

51 


38 Deg. 


38i Deg. 


38J Deg. 


381 Deg. 


- 1 

P 




Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep. 


Lat. 


Dep, 




40,19 


31.40 


40.05 


31.57 


39.91 


31.75 


39.77 


31.92 


51 




62 


40.98 


32.01 


40.84 


32,19 


40,70 


32.37 


40.55 


32,55 


52 




53 


41.76 


32.63 


41.62 


32,81 


41,48 


32,99 


41.33 


33.17 


53 




54 


42.. 55 


33.25 


42.41 


33.43 


42.26 


33,62 


42.11 


33.80 


54 




55 


43.34 


33.86 


43.19 


34,05 


43,04 


34.24 


42.89 


34,43 


55 




56 


44.13 


34.48 


43.98 


.34,67 


43,83 


34.86 


43.67 


35.05 


56 




57 


44.92 


35.09 


44,76 


35,29 


44,61 


35.48 


44.45 


35,68 


57 




58 


45.70 


35.71 


45.55 


.35,91 


45,39 


36.11 


45.23 


.36.30 


58 




59 


46.49 


36.32 


46,33 


36.53 


46,17 


.36.73 


46.01 


36.93 


59 




j 60 
61 


47.28 


36.94 


47.12 


37,15 


46,96 


37.35 


46,79 


37.56 


60 
61 




48.07 


37.56 


47.90 


37,76 


47.74 


37.97 


47,57 


38.18 




62 


48.86 


38.17 


48.69 


38,38 


48.52 


38.60 


48.35 


38.81 


62 




63 


49.64 


38.79 


49,47 


39,00 


49.30 


39.22 


49.13 


39.43 


63 




64 


50.43 


39.40 


50,26 


39,62 


50.09 


39.84 


49,91 


40.06 


64 




[ 65 


51.22 


40.02 


51,05 


40,24 


50.87 


40.46 


50.69 


40,68 


65 




66 


52.01 


40.63 


51,83 


40,86 


51,65 


41.09 


51.47 


41,31 


66 




67 


52.80 


41.25 


52,62 


41,48 


,52,43 


41.71 


52,25 


41.94 


67 




68 


53.58 


41.86 


53.40 


42.10 


53.22 


42.33 


53,03 


42,56 


68 




69 


54.37 


42.48 


54.19 


42,72 


54.00 


42.95 


,53.81 


43,19, 69 




70 
71 


55.16 


43.10 


54,97 


43.. 34 
43.96 


54.78 


43.. 58 


54,59 


43,81 


70 




55.95 


43.71 


,55.76 


55,. 57 


44.20 


55,37 


44,44 


71 




72 


56.74 


44.33 


.56.54 


44.57 


56.35 


44.82 


56.15 


45,07 


72 




73 


57.52 


44.94 


57,33 


45,19 


57.13 


45,44 


.56.93 


45.69 


73 




74 


58.31 


45.56 


58,11 


45,81 


57,91 


46,07 


57,71 


46,32 


74 




75 


.59.10 


46.17 


58,90 


46,43 


58,70 


46,69 


.58.49 


46,94 


75 




76 


59.89 


46.79 


.59,68 


47,05 


59.48 


47.31 


59.27 


47,, 57 


76 




77 


60.68 


47.41 


60,47 


47,67 


60.26 


47.93 


60 . 05 


48,20 


77 




78 


61.46 


48.02 


61,25 


48,29 


61.04 


48,56 


60,83 


48,82 


78 




79 


62.25 


48 . 64 


62.04 


48,91 


61,83 


49,18 


61,61 


49,45 


79 




80 
81 


63.04 


49.25 


62.83 


49,. 53 


62,61 


49,80 


62,39 


50,07 


80 




63.83 


49.87 


63.61 


50,15 1 


63,39 


.50,42 


63.17 


50,70 


81 


- 


82 


64.62 


50.48 


64.40 


.50,77 


64,17 


51.05 


63.95 


51,33 


82 




83 


65.40 


51.10 


65.18 


51.38 


64,96 


51,67 


64.73 


.51,95 


83 




84 


66.19 


51.72 


65.97 


52.00 


65,74 


,52,29 


65.51 


.52.. 58 


84 




85 


66.98 


52 . 33 


66.75 


.52,63 1 


66,52 


,52.91 


66.29 


53,20 


85 




86 


67.77 


,52.95 


67., 54 


53.34 i 


67,30 


53,, 54 


67.07 


53.83 


86 




87 


68.56 


.53., 56 


68.32 


53.86 1 


68.09 


54,16 


67.85 


54.46 


87 




88 


69 . .34 


,54.18 


6,9 , 1 1 


54.48 


68.87 


,54,78 


68.63 


55.08 


88 




89 


70.13 


54.79 


69,89 


55.10 69.65 


55.40 


69.41 


55.71 


89 




90 
"91 


70.92 


55.41 


70,68 


.55.72 170.43 


56.03 


70.19 


56.33 


90 
91 




71.71 


56 . 03 


71,46 


56.34 , 71.22 


.56.65 


70.97 


56.96 




92 


72.. 50 


56.64 


72,25 


,56.96 I 72.00 


57.27 


71.75 


57.58 


92 




93 


73.28 


57.26 


73,03 


57.58 ; 72.78 


57.89 


72.53 


.58,21 


93 




94 


74.07 


,57.87 


73.82 


58.19 i 73.57 


58.52 


73.31 


58,84 


94 




95 


74.86 


58.49 


74.61 


58.81 74.35 


59.14 


74.09 


,59,46 


95 




96 


75.65 


59.10 


75., 39 


59.43 75.13 


59.76 


74,87 


60,09 


96 




97 


76.44 


59 . 72 


76.18 


60.05 75.91 


60.33 


75,65 


60.71 


97 




98 


77.22 


60 . 33 


76,96 


60,67 76,70 


61.01 


76,43 


61,34 


98 




99 


78.01 


60 . 95 


77.75 


61.29 77.48 


61.63 


77,21 


61.97 


99 




100 

s 

Q 


78.80 


61.57 
Lat. 


78.. 53 


61.91 78.26 


62.25 


77,99 


62.59 


100 

i 

s 

5 




Dep. 


Dep. 


Lat. ,1 


Dep. 1 


Lat. 


Dep. 


Lat, 




5.De,. 1 


51} Deg. 


5UDeg. 


5U Deg. 



























8ft 



*KAVfiRSIi l>ASLi!. 



o 
p 
i 


39Deg. 


39J Deg. 


39| Deg. 


39J Deg. 




Lat. Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1 


0.78 0.63 


0.77 


0.63 


0.77 


0.64 


0.77 


0.64 


1 


2 


1.55 1.26 


1.65 


1.27 


1.54 


1.27 


1..54 


1.28 


2 


3 


2.33 1.89 


2.32 


1.90 


2.31 


1.91 


2.31 


1.92 


3 


4 


3.11 2.52 


3.10 


2.53 


3.09 


2.54 


3.08 


2.56 


4 


5 


3.89 3.15 


3.87 


3.16 


3.86 


3.18 


3.84 


3.20 


5 


6 


4.66 3.78 


4.65 


3.80 


4.63 


3.82 


4.61 


3.84 


6 


Y 


5.44 1 4.41 


5.42 


4.43 


5.40 


4.45 


5.38 


4.48 


7 


8 


6.22 5.03 


6.20 


5.06 


6.17 


5.09 


6.15 


5.12 


8 


9 


6.99 5.66 


6.97 


5.69 


6.94 


5.72 


6.92 


5.75 


9 


10 
11 


7.77 


6.29 
6.92 


7.74 


6.33 


7.72 


6.36 


7.69 


6.. 39 


10 

11 


8.55 


8.52 


6.96 


8.49 


7.00 


8.46 


7.03 


12 


9.33 


7.55 


9.29 


7.59 


9,26 


7.63 


9.23 


7.67 


12 


13 


10.10 


8.18 


10.07 


8.23 


10.03 


8.27 


9.99 


8.31 


13 


14 


10.88 


8.81 


10.84 


8.86 


10.80 


8.91 


10.76 


8.95 


14 


15 


11.66 


9.44 


11.62 


9.49 


11.. y/ 


9.. 54 


11.53 


9.59 


15 


16 


12.43 


10.07 


12.39 


10.12 


12.35 


10.18 


12.30 


10.23 


16 


17 


13.21 


10.70 


13.16 


10.76 


13.12 


10.81 


13.07 


10.87 


17 


18 


13.99 


11.33 


13.94 


11. .39 


13.89 


11.45 


13.84 


11.51 


18 


19 


14.77 i 11.96 


14.71 


12.02 


14.66 


12.09 


14.61 


12.15 


19 


20 
21 


15.54 1 12.59 


15.49 


12.65 


15.43 


12.72 


15.38 


12.79 


20 

21 


16.32 i 13.22 


T6.26 


13.29 ii 16.20 


13.36 


10.15 


13.43 


22 


17.10 


13.84 


17.04 


13.92 


16. 9S 


13.99 


16.91 


14.07 


22 


23 


17.87 


14.47 


17.81 


14.55 


17.75 


14.63 


17.68 


14.71 


23 


24 


18.65 


15.10 


18.59 


15.18 


18.. 52 


15.27 


18.45 


15.35 


24 


25 


19.43 


15.73 


19.36 


15.82 


19.29 


15.90 


19.22 


15.99 


25 


26 


20.21 


16.36 


20.13 


16.45 


20.06 


16.. 54 


19.99 


16.63 


26 


27 


20.98 


16.99 


20.91 


17.08 


20.83 


17.17 


20.76 


17.26 


27 


23 


21.76 


17.62 


21.68 


17.72 


21.6! 


17.81 


21.53 


17.90 


28 


29 


22.54 


18.25 


22.46 


18.35 


22.. 38 


18.45 


22.30 


18.. 54 


29 


30 
31 


23.31 


18. 8S 


23.23 


18.98 


23 . 1 5 


19.08 


23 . 07 


19.18 
19.82 


30 
"Tl 


24.09 ! 19.51 


24.01 


19.61 


23.92 


19.7% 


23.83 


32 


24.87 J20.14 


24.78 


20.25 


24.69 


20.35 


24.60 


20.46 


32 


33 


25 . 65 


20,77 


25.55 


20.88 


25.46 


20.99 


25.37 


21.10 


33 


34 


26.42 


21.40 


26.33 


21.51 


26.24 


21.63 


26.14 


21.74 


34 


35 


27.20 


22.03 


27.10 


22.14 


27.01 


22.26 


26.91 


22.. 38 


35 


36 


27.98 


22.66 


27.88 


22.78 


27.78 


22 . 90 


27.68 


23.02 


30 


37 


28.75 


23.23 


28.65 


23.41 


28 . 55 


23 . 53 


28.45 


23.66 


37 


38 


29.53 


23,91 


29.43 


24.04 


29.32 


24.17 


29.22 


24.30 


38 


39 


30.31 


24.54 


30.20 


24.68 


30.09 


24.81 


29 . 98 


24.94 


39 


40 

41 


31.09 


25.17 


30.98 


25.31 


30.86 
31.64 


25.44 
26.08 


.30.75 


25 . .58 


40 
41 


31.86 


25.80 


31,75 


25.94 


31.52 


26.22 


42 


32.64 


26.43 


32 52 


26,57 


32.41 


26.72 


32.29 


26.86 


42 


43 


33.42 


27.06 


33.30 


27.21 


33.18 


27.35 


33.06 


27.50 


43 


44 


34.19 


27.69 


34,07 


27.84 


33.95 


27.99 


33.83 


28.14 


44 


4ft 


34,97 


28.32 


34.85 


28.47 


34.72 


28.62 


34.60 


28.77 


45 


46 


35,75 


28.95 


35.62 


29.10 


35.49 


29.26 


35.37 


29.41 


46 


47 


36,53 


29.58 


36.40 


29.74 


36.27 


29.90 


36.14 


30.05 


47 


48 


37.30 


30.21 


37.17 


30.37 


37.04 


30.53 


36.90 


.30.69 


48 


49 


38.08 


30.84 


.37.95 


31,00 


37.81 


31.17 


37.67 


31.33 


49 


50 

J 


38.86 


31.47 


38.72 


31.64 


38.. 58 


31.80 


38.44 


31.97 


_50 

Q 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


51 Deg. 


501 Deg. 


50i Dog. 


50i Deg. 



TRAVKRSE TAHLE. 



(tl 



51 


39 Deg. 


, 

39iDeg. 1 


1 
39 i Deg. 


391 Deg. 


1 
? 
51 


Lat. 


Dep. 


Lat. 
39.49 


Dep. 


Lat. 
39 . 35 


Dep. 


Lat. 


Dep, 


39.63 


32.10 


.32.27 


32.44 


.39.21 


32.61 


52 


40.41 


32.72 


40.27 


32 . 90 


40.12 


33.08 


39 . 98 


33.25 


62 


53 


41.19 


33.35 


41.04 


33.53 


40.90 


33.71 


40.75 


33.89 


53 


54 


41.97 


33.98 


41.82 


.34.17 


41.67 


34.35 


41.52 


34.53 


54 


5o 


42.74 


34.61 


42.59 


34.80 


42.44 


34.98 


42 . 29 


35.17 


55 


56 


43.52 


35'. 24 


43.37 


35.43 


43.21 


35.02 


43.06 


35.81 


56 


57 


44.30 


35.87 


44.14 


36.06 


43.98 


36.26 


43 . 82 


36.45 


67 


58 


45 . 07 


.36.. 50 


44.91 


36.70 


44.75 


36.39 


44.. 59 


37.09 


58 


59 


45.85 


37.13 


45.69 


37.33 


45.. 53 


37.53 


45.36 


37 . 73 


59 


60 
61 


46.63 


37.76 


46.46 


37 . 96 


46.30 


38.16 


46.13 


38.37 


60 


47.41 


38.39 


47.24 


38.60 


47.07 


38.80 


46.90 


39.01 


62 


48.18 


39.02 


48.01 


39.23 


47.84 


39.44 


47.67 


39 . 65 


62 


63 


48.96 


39.65 


48.79 


39.86 


48.61 


40.07 


48.44 


40.28 


63 


64 


49.74 


40.28 


49 . 56 


40.49 


49.38 


40.71 


49.21 


40.92 


64 


65 


.50.51 


40.91 


50.34 


41.13 


.50.16 


41.35 


49.97 


41.56 


65 


66 


51.29 


41.. 54 


51.11 


41.76 


50.93 


41.98 


50.74 


42.20 


06 


67 


52.07 


42.16 


51.88 


42.39 


51.70 


42-. 62 


51.51 


42.84 


67 


68 


52.85 


42.79 


52.66 


43.02 


52.47 


43 . 25 


.52.28 


43.48 


08 


69 


.53.52 


43.42 


.53.43 


43 . 66 


53 . 24 


43.89 


.53.05 


44.12 


69 


70 
71 


54.40 


44.05 


54.21 


44.29 


54.01 
.54.79 


44.53 
45.16 


53 . 82 


44.76 
45.40 


70 
71 


55.18 


44.68 


54.98 


44.92 


54 . 59 


72 


55.95 


45.31 


55 . 76 


45., 55 


55.56 


45.80 


55.36 


46.04 


72 


73 


56 . 73 


45.94 


56.. 53 


46.19 


56.33 


46.43 


56.13 


46.68 


73 


74 


57.51 


46.57 


.57.31 


46.82 


57.10 


47.07 


56.89 


47.32 


74 


75 


58.29 


47.20 


58.08 


47.45 


57.87 


47.71 


157.66 


47.96 


75 


76 


59.06 


47.83 


58.85 


48.09 


.58.64 


48.34 


158.43 


48.00 


76 


77 


59.84 


48.46 


59.63 


48.72 


69.42 


48.98 


i 59.20 


49.24 


77 


78 


60.62 


49.09 


60.40 


49.35 


60.19 


49.61 


1 59.97 


49.88 


78 


79 


61.39 


49.72 


61.18 


49.98 


60.96 


50.25 


60.74 


50.. 52 


79 


80 
"81 


62.17 


50.35 


61.95 


50.62 


61.73 


50.89 


61.51 


51.16 


80 

"81 


62 . 95 


50.97 


62.73 


51.25 


62.50 


51.52 


i 62.28 


51.79 


82 


63.73 


51.60 


63 . 50 


51.88 


63.27 


52.16 


163.04 


52.43 


82 


83 


64.50 


.52.23 


64.27 


52.51 


64.04 


.52.79 


1 63.81 


53.07 


83 


84 


65.28 


52.86 


65.05 


53.15 


64.82 


,53.43 


64.58 


53.71 


84 


85 


66.06 


53.49 


65.82 


53.78 


65.59 


.54.07 


1 65.35 


54.35 


85 


86 


66.83 


54.12 


66.60 


.54.41 


66.36 


54.70 


166.12 


54.99 


86 


87 


67.61 


54.75 


67.37 


55.05 


67.13 


55.34 


1 66.89 


55.63 


87 


88 


68.39 


55.38 


68.15 


55.68 


67.90 


55.97 


1 67.66 


56.27 


88 


89 


69.17 


56.01 


68.92 


56.32 


68.67 


56.61 


168.43 


56.91 


89 


90 
91 


69.94 


56.64 


69.70 


56.94 


69.45 


57.25 


169.20 


57., 55 


90 
91 


70.72 


57.27 


70.47 


.57.58 


70.22 


57.88 


169.96 


.58.19 


92 


71.50 


57.90 


71.24 


58.21 


70.99 


58 . 52 


70.73 


58.83 


92 


93 


72.27 


58.53 


72.02 


■58.84 


71.76 


59.16 


71.50 


.59.47 


93 


94 


73.05 


59.16 


72.79 


59.47 


72.53 


59 . 79 


72.27 


60.11 


94 


95 


73.83 


59.79 


73.57 


60.11 


73.30 


60.43 


73.04 


60.75 


95 


96 


74.61 


60.41 


74.34 


60.74 


74.08 


61.06 


73.81 


61.39 


90 


97 


75.38 


61.04 


75.12 


81.37 


74.85 


61.70 


74.58 


62.03 


97 


98 


76.16 


61.67 


75.89 


62.01 


75.62 


62.34 


75.35 


62.66 


98 


99 


76.94 


62.30 


76.66 


62.64 


70.39 


62.97 


76.12 


63.30 


99 


100 


77.71 


62.93 


77.44 


63.27 


77.16 


63.61 


76.88 


63.94 


100 

i 

1 


1 


Dep. Lat. 


Dep. 1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


.2 


51 Deg. 


501 Deg. 


50i Deg. 


50i Deg. 



isi 



TRAVERSE TABLE. 



9. 
~1 


40 Deg. 


401 Deg. 


40i Deg. 


401 Deg. 




Lat. 


Dep, 


Lat. 


Dep. 


Lat. 
0.76 


Dep. 
0.65 


Lat. 


Dep. 


0.77 


0.64 


0.76 


0.65 


0.76 


0,65 


~T 


2 


1.53 


1.29 


1.53 


1.29 


1..52 


1.30 


1.52 


1.31 


2 


3 


2.. 30 


1.93 


2.29 


1.94 


2.28 


1.95 


2.27 


1.96 


3 


4 


3.06 


2.67 


3.05 


2.58 


3.04 


2.60 


3.03 


2.61 


4 


5 


3.83 


3.21 


3.82 


3.23 


3.80 


3.25 


3.-79 


3.26 


5 




4.60 


3.86 


4.58 


3.88 


4.56 


3.90 


4.55 


3.92 


6 


7 


5.36 


4,50 


5.34 


4.52 


5.32 


4.55 


5.30 


4., 57 


7 


8 


6.13 


5.14 


6.11 


5.17 


6.08 


5.20 


6.06 


5.22 


8 


9 


6.89 


5.79 


6.87 


5.82 


6.84 


5.84 


6.82 


5.87 


9 


10 


7.66 


6.43 


7.63 


6.46 


7.60 


6.49 


7.. 58 


6.53 


JO 
11 


11 


8.43 


7.07 


8.40 


7.11 


8.36 


7.14 


8.33 


7.18 


12 


9.19 


7.71 


9.16 


7.75 


9.12 


7.79 


9.09 


7.83 


12 


13 


9.96 


8.36 


9.92 


8.40 


9.89 


8.44 


9.85 


8.49 


13 


14 


10.72 


9.00 


10.69 


9.05 


10.65 


9.09 


10.61 


9.14 


14 


15 


11.49 


9.64 


11.45 


9.69 


11.41 


9.74 


11.36 


9.79 


15 


16 


12.26 


10.28 


12.21 


10.34 


12.17 


10.39 


12.12 


10.44 


16 


17 


13.02 


10.93 


12.97 


10.98 


12.93 


11.04 


12.88 


n.io 


17 


18 


13.79 


11.57 


13.74 


11.63 


13.69 


11.69 


13.64 


11.75 


18 


19 


14.55 


12.21 


14.50 


12.28 


14.45 


12.34 


14.39 


12.40 


19 


20 


15.32 


12.86 


15.26 


12.92 


15.21 
15.97 


12.99 


15.15 


13.06 


20 


21 


16.09 


13.50 


16.03 


13.57 


13.64 


15.91 


13.71 


21 


22 


16.85 


14.14 


16.79 


14.21 


16.73 


14.29 


16.67 


14.36 


22 


23 


17.62 


14.78 


17.55 


14.86 


17.49 


14.94 


17.42 


15.01 


23 


24 


18.39 


15.43 


18.32 


15.51 


18.25 


15.59 


18.18 


15.67 


24 


25 


19.15 


16.07 


19.08 


16.15 


19.01 


16.24 


18.94 


16.32 


25 


26 


19.92 


16.71 


19,84 


16.80 


19.77 


16.89 


19.70 


16.97 


26 


27 


20.68 


17.36 


20.61 


17.45 


20.53 


17.54 


20.45 


17.62 


27 


28 


21.45 


18.00 


21.37 


18.09 


21.29 


18.18 


21.21 


18.28 


28 


29 


22.22 


18.64 


22.13 


18.74 


22.05 


18.83 


21.97 


18.93 


29 


30 
31 


22.98 


19.28 


22.90 


19.38 


22.81 


19.48 


22.73 
23.48 


19.. 58 


30 


23.75 


19.93 


23.66 


20.03 


23.. 57 


20.13 


20.24 


31 


32 


24.51 


20.57 


24.42 


20.68 


24.33 


20.78 


24,24 


20.89 


32 


33 


25.28 


21.21 


25.19 


21.32 


25.09 


21.43 


25.00 


21.54 


33 


34 


2G.05 


21.85 


25.95 


21.97 


25.85 


22.08 


25.76 


22.19 


34 


35 


26.81 


22.50 


26.71 


22.61 


26.61 


22.73 


26.51 


22.85 


35 


30 


27.58 


23.14 


27.48 


23.26 


27.37 


23.38 


27.27 


23.50 


36 


37 


28.34 


23.78 


28.24 


23.91 


28.13 


24.03 


28.03 


24.15 


37 


38 


29.11 


24.43 


29.00 


24.55 


28.90 


24.68 


28.79 


24.80 


38 


39 


29.88 


25.07 


29.77 


25.20 


29.66 


25.33 


29.54 


25.46 


39 


40 
41 


30.64 


25.71 


30.53 


25.84 


30.42 


25.98 


30.30 
31.06 


26.11 


40 
41 


31.41 


26.35 


31.29 


26.49 


31.18 


26.03 


26.76 


42 


32.17 


27.00 


32.06 


27.14 


31.94 


27.28 


31.82 


27.42 


42 


43 


32.94 


27.64 


32.82 


27.78 


32.70 


27.93 


32.58 


28.07 


43 


44 


33.71 


28.28 


33.58 


28.43 


33.46 


28.58 


.33.33 


28.72 


44 


45 


34.47 


28.93 


34.35 


29.08 


34.22 


29.23 


34.09 


29.37 


45 


46 


35.24 


29.57 


35.1] 


29.72 


34.98 


29.87 


34.85 


30.03 


46 


47 


36.00 


30.21 


35.87 


30.37 


35.74 


30.52 


35.61 


30.68 


47 


48 


36.77 


30.85 


36.64 


31.01 


36.50 


31.17 


.36.36 


31.33 


48 


49 


37.54 


31.50 


37.40 


31.66 


37.26 


31.82 


37.12 


31.99 


49 


50 


38.30 


32.14 


38.16 


32.31 


38.02 


32.47 


37.88 


32.64 


50 


1 
1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


8 

a 

s 

Q 


50 Beg. 


49i Deg. 


49i Deg. 


49^ Deg. 



TRAVERSE TABLE. 



83 



o 

1 
"51 


40 Deg. 


40i Deg. 


40i Deg. 


401 Deg. 


O 

a 
? 


Lat. 


Dep. 


Lat. 


Dep. 


Lai. 

33.73 


Dep. 


Lat 


Dep. 


39.07 


32.78 


3S.92 


32.95 


33.12 


3^.64 


33 . 29 


'51 


52 


39.83 


33.42 


.39.69 


33.60 


39.. 54 


33 . 77 


39.39 


.33.94 


52 


53 


40.60 


.34.07 


40.45 


34. .24 


40.30 


34.42 


40.15 


34.60 


53 


54 


41.37 


34.71 


41.21 


34.89 


41.06 


35.07 


40.91 


35.25 


54 


55 


42.13 


35.35 


41. 9S 


35 . 54 


41.82 


35.72 


41.67 


.35.90 


55 


56 


42.90 


36.00 


42.74 


35.18 


42.-58 


36.37 


42.42 


36 . .55 


56 


57 


43.66 


36.64 


43.. 50 


36.83 


43.34 


37.02 


43.18 


37.21 


57 


58 


44.43 


37.23 


44.27 


37.48 


44.10 


37.67 


43.94 


37.86 


58 


59 


45.20 


.37.92 


45.03 


33.12 


44.86 


33.32 


44.70 


38.51 


59 


60 
61 


45.96 


38.57 1 


45.79 
46.56 


33.77 


45 . 62 


.38.97 


45.45 


39.17 


60 
61 


46:73" 


39.21 j 


39.41 


46.33 


39.62 


46.21 


39.82 


62 


47.49 


39.85 


47.. 32 


40.06 


47.15 


40.27 146.97 


40.47 


62 


63 


48.26 


40.50 


43.08 


40.71 


47.91 


40.92 


47.73 


41.12 


63 


64 


49.03 


41.14 


48.85 


41.35 


48.67 


41.56 


48.48 


41.78 


64 


65 


49.79 


41.78 


49.61 


42.00 


49.43 


42.21 


49.24 


42.43 


65 


66 


.50 . 56 


42.42 


.50.37 


42.64 


.50.19 


42.86 


50.00 


43.08 


66 


67 


51.32 


43.07 


51.14 


43.29 


50.95 


43.51 


50.76 


43.73 


67 


68 


.52.00 


43.71 


51.90 


43.94 


51.71 


44,16 


51.51 


44,39 


68 


69 


52.86 


44.35 


,52 . 66 


44.. 58 


.52.47 


44.81 :! 52.27 


45.04 


69 


70 

71 


53.62 


45.00 


53.43 


45.23 


53.23 
53.99 


45.46 53.03 


45.69 


70 


54.39 


45.64 


■54.19 


45.87 


46.11 : 53.79 


46,. 35 


71 


72 


55.16 


46.28 


.54.95 


46.53 


54.75 


46.76 i 54.-54 


47,00 


72 


73 


55.92 


46.92 


55.72 


47.17 


-55.51 


47.41 !l 55.30 


47.65 


73 


T4 


56 . 69 


47.. 57 


56.48 


47.81 


56.27 


48.06 


56.06 


48.. 30 


74 


75 


.57.45 


48.21 


.57.24 


48.46 


.57.03 


48.71 


.56.82 


48.96 


75 


76 


58.22 


48.85 


58.01 


49.11 


57.79 


49.36 


57.57 


49,61 


76 


77 


.58.99 


49.49 


.58.77 


49.75 


58.. 55 


.50.01 


.58.33 


50.26 


77 


78 


59 . 75 


50.14 


59 , 53 


.50.40 


59.31 


60.66 


.59.09 


50.92 


78 


79 


60.. 52 


50.78 


60.30 


51.04 


60.07 


51.31 


59.85 


51,57 


79 


80 
"8i 


61.28 


51.42 


61.06 


51.69 


60.83 


51.96 


60.61 


.52.22 


80 


62.05 


52.07 


61.82 


.52.34 


61.59 


.52.61 


61.36 


52.87 


81 


82 


62.82 


52.71 


62.59 


52 . 98 


62.35 


.53.25 


62.12 


53.53 


82 


83 


63.. 58 


53.35 


63.35 


53.63 


63.11 


.53.90 


62.88 


54.18 


83 


84 


64.35 


53.99 


64.11 


54.27 


63.87 


54.55 


63.64 


54.83 


84 


85 


65.11 


54.64 


64.87 


.54.92 


64.63 


.55,20 


64.-39 


55.48' 85 1 


86 


65.88 


55.28 


65.64 


55.57 


65.39 


55.85 


65.15 


56.14 


86 


87 


66.65 


55.92 


66.40 


56.21 


66.16 


56.50 


65.91 


56.79 


87 


88 


67.41 


56.57 


67.16 


56.86 


66.92 


57.15 


66.67 


.57.44 


88 


89 


68.18 


57.21 


67.93 


57.-50 


67.68 


57.80 


67.42 


58.10 


89 


90 
91 


68.94 


57.85 


68.69 


58.15 


68.44 


.58.45 


68.18 


58 . 75 


90 


69.71 


58.49 


69.45 


58.80 


69.20 


59.10 


68.94 


59.40 


91 


92 


70.48 


59.14 


70.22 


59.44 


69.96 


59.75 


169.70 


60.05 


92 


93 


71.24 


.59.78 


70.98 


60.09 


70.72 


.60.40 


70.45 


60.71 


93 


94 


72.01 


60.42 


71.74 


60.74 


71.48 


'61.05 


71.21 


61.36 


94 


95 


72.77 


61.06 


72.51 


61.38 


72.24 


61.70 


71.97 


62.01 


95 


96 


73.54 


61.71 


73.27 


62.03 


73.00 


62.35 


72.73 


62.66 


96 


97 


74.31 


62.35 


74.03 


62.67 


73.76 


63.00 


73.48 


63.32 


97 


98 


75.07 


62.99 


74.80 


63.32 


74.52 


63.65 


74.24 


63.97 


98 


99 


75.84 


63.64 


75.-56 


63.97 


75.28 


64.30 


75.00 


64.62 


99 


100 

i 


76.60 


64.28 


76.32 


64.61 


76.04 


64.94 


75.76 


65.28 
Lat. 


100 

5 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


50 Deg. 


491 Deg. 


49i Deg. 


49i Deg. 



84 



TRAVERSE TABLE. 



c 

s 

i 


1 

41 Deg. 


4U Deg. 


1 4U 


Deg. 


411 Deg. 


5 

1 

i 




Lat. Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


1' L.. 


Dep. 




0,75 0,6fi 


0.75 


0.f6 


0,75 


0,66 


0.75 


0.67 




2 


1,51 1,31 II J, 50 


1,32 


1..50 


1,33 


1.49 


1.33 


2 




3; 2.26 1 1.97 11 2.26 


1.98 


2.25 


1.99 


2.24 


2.00 


3 




4 3,02 2.62 


3.01 


2.64 


3.00 


2.65 


2.98 


2.66 


4 




5 3.77 3.28 


3.76 


3.30 


3.74 


3.31 


3.73 


3.33 


5 




6! 4.53 3,94 


4.51 


3.96 


4.49 


3.98 


4.48 


4.00 


6 




7i .5.28 4.59 


5.26 


4.62 


5.24 


4.64 


5.22 


4.66 


7 




8 


i 6.04 5.25 


6.01 


6.27 


5.99 


5.30 


5.97 


5.33 


8 




9 


6.79 5.90 


6.77 


5.93 


6.74 


5.96 


6.71 


5.99 


9 




10 
11 


7.55 6.56 


7.52 


6.59 


1 7.49 
8.24 


6.63 


7.46 


6.66 


10 
11 




8.30 7.22 


8.27 


7.25 


7.29 


8.21 


7.32 




12 


9.06: 7.87 


9.02 


7.91 


8.99 


7.95 


8.95 


7.99 


12 




13 


9.81 j 8.53 


9.77 


8.57 


9.74 


8.61 


9.70 


8.66 


13 




14 


10.57! 9.18 


10.53 


9.23 


10.49 


9.28 


10.44 


9.32 


14 




15 


11.32' 9.84 


11 28 


9.89 


11.23 


9.94 


11.19 


9.99 


15 




16 


12.08 10.. -70 


12.03 


10. .55 


11.98 


10.60 


11.94 


10.65 


16 




17 


12.83 11.15 


12.78 


11.21 


12.73 


11.26 


12.68 


11.32 


17 




18 


13.58 11.81 


13.. 53 


11.87 


13.48 


11.93 


13.43 


11.99 


18 




19 


14.34 12,47 


14.28 


12. .53 


14.23 


12,59 


14.18 


12.65 


19 




20 


15.09 13.12 


15.04 


13.19 


14.98 


13,25 


14.92 


13.32 


20 




21 


15.85 13.78 


15.79 


13.85 


15.73 


13.91 


15.67 


13.98 


21 




22 


16.60 14.43 


16.54 


14.51 


16.48 


14.58 


16.41 


14.65 


22 




23 


17.36 ; 15.09 


17.29 


15.16 


17.2.3 


15.24 


17.16 


15.32 


23 




24 


18.11 ! 15.75 


18.04 


15.82 


17.97 


■5.90 


17.91 


15.98 


24 




25 


18.87 1 16.40 


18.80 


16.48 


18.72 


16.57 


18.65 


16.65 


25 




26 


19.62 17.06 


19,. 55 


17.14 


19.47 


17.23 


19.40 


17.31 


26 




27 


20.38 17.71 


20.30 


17.80 


20.22 


17.89 


20.14 


17.98 


27 




28 


21.13 ; 18.37 


21.05 


18.46 


20.97 


18. .55 


20.89 


18.64 


28 




29 


21.89 : 19.03 


21,80 


19.12 


21.72 


19.22 


21.64 


19.31 


29 




30 
31 


22.64 ' 19.68 


22.56 


19.78 


22.47 


19.88 


22.38 


19.98 
20.04 


30 
31 




23.40 20.34 


23.31 


20.44 


23.22 


20.54 


23.13 




32 


24.15 ,20.99 


24.06 


21.10 


23.97 


21.20 


23.87 


21.31 


32 




3:^ 


24.91 ; 21.65 


24.81 


21.76 


24.72 


21.87 


24.62 


21.97 


33 




34 


25.66 22.31 


25.56 


22.42 


25.46 


22.. 53 


25.37 


22.64 


34 




35 


26.41 122.96 


26.31 


23.08 


26,21 


23.19 


26.11 


23.31 


35 




36 


27. 17 123.62 


27.07 


23.74 


26.96 


23.85 


26.86 


23.97 


36 




37 


27.92 1 24.27 


27.82 


24.40 


27.71 


24.52 


27.60 


24.64 


37 




38 


28.68 124.93 


28.57 


25.06 


28.46 


25.18 


28.35 


25.30 


38 




39 


29.43 25.. 59 


29,32 


25.71 


29.21 


25.84 


29.10 


25.97 


39 




40 

41 


30.19 126.24 


30.07 


26.37 


29.96 
"30.71 


20 . 50 


29.84 
.30.59 


26.64 
27.30 


40 
41 




30.94 26.90 


30.83 


27.03 


27.17 




42 


31.70 27.55 


31.. 58 


27.69 


31.46 


27.83 


31.33 


27.97 


42 




43 


32.45 28.21 


32.33 


28.35 


32.21 


28.49 


32.08 


28.63 


43 




44 


33.21 28.87 


33.08 


29.01 


32.95 


29.16 


32.83 


29.30 


44 




45 


33.96 29.52 


33.83 


29.67 


33 . 70 


29.82 


33.57 


29.97 


45 




46 


34.72 30.18 


34.58 


30.33 


::-i.45 


30.48 


34.32 


30.63 


46 




47 


35.47 ,30.83 


35.34 


30.99 


35.20 


31.14 


35.06 


31.30 


47 




48 


36.23 31.49 


36.09 


31.65 


35.95 


31.81 


35,81 


31.96 


48 




49 


36.98 132.15 


36.84 


32.31 


36.70 


32.47 


36,56 


32.63 


49 




_60 

§ 

1 

(5 


37.74:32.80 


.37.59 


32.97 


37.45 


33.13 


37.30 


33.29 


_50 

1 




Dep. 1 Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 




49 Deg. 


481 Deg. 


48i Deg. 


48i Deg. 





TRAVEnSE TABLE. 



3 

51 


41 Deg, 


4U Deg. 


4li Deg. 


41J Deg. 


2 


Lat. 


Dep. 


Lat. 


Dep. 


Lat, 


Dep, 


Lat. 


Dep. 


3S.49 


33.46 


38.34 


33.63 


38,20 


33,79 


38.05 


33,96 


~51 


52 


39 . 24 


34.12 


39.10 


.34.29 


38,95 


34.46 


38.79 


34,63 


52 


53 


40.00 


34.77 


39.85 


34.95 


39,69 


35.12 


39,54 


.35,29 


53 


64 


40.75 


35.43 


40.60 


35.60 


40,44 


35.78 


40,29 


35,96 


54 


55 


41.51 


36.08 


41.35 


36.26 


41,19 


36.44 


41,03 


36,62 


55 


55 


42.26 


36.74 


42.10 


36.92 


41,94 


.37,11 


41,78 


37,29 


56 


57 


43.02 


37.40 


42.85 


37.58 


42.69 


37,77 


42,53 


37.96 


57 


58 


43.77 


33.05 


43.61 


38.24 


43.44 


38,43 


43.27 


38.62 


58 


59 


44.53 


33.71 


44.36 


38.90 


44.19 


39,09 


44.02 


39.29 


59 


60 
61 


45.28 
46.04 


39.36 


45.11 


39.56 


44.94 


39,76 


44.76 


39.95 


60 


40.02 


45.86 


40 . 22 


45.69 


40,42 


45.51 


40.62 


61 


62 


46.79 


40.68 


46.61 


40.88 


46.44 


41.08 


46.26 


41.28 


62 


63 


47.55 


41.33 


47.37 


41.. 54 


47.18 


41.75 


47.00 


41.95 


63 


64 


48.30 


41.99 


48.12 


42.20 


47,93 


42,41 


47.75 


42.62 


64 


65 


49.06 


42.64 


48.87 


42.86 


48,68 


43,07 


48.49 


43.28 


65 


66 


49.81 


43.30 


49.62 


43.52 


49,43 


43,73 


49.24 


43.95 


66 


67 


50.57 


43.96 


50.37 


44.18 


50.18 


44.40 


49.99 


44.61 


67 


68 


51.32 


41.61 


51,13 


44.84 


50.93 


45,06 


50.73 


45.28 


68 


69 152.07 


45.27 


51.88 


45.49 


51,68 


45.72 


51.48 


45.95 


69 


70 
71 


52.83 


45.92 


52.63 


46.15 


.52,43 


46.38 
47.05 


52.22 


46.61 


70 


53.58 


46.58 


53.38 


46.81 


53.18 


52.97 


47.28 


71 


72 


.54.34 


47.24 


54.13 


47.47 


53.93 


47,71 


53.72 


47.94 


72 


73 


55.09 


47.89 


54.88 


48.13 


.54.67 


48,37 


54,46 


48.61 


73 


74 


55,85 


48.55 


55.64 


48.79 


55.42 


49.03 


55.21 


49.28 


74 


75 


56.60 


49,20 


56.. 39 


49.45 


.56.17 


49.70 


55,95 


49.94 


75 


76 


57.36 


49.86 


57.14 


50,11 I 56,92 


50.36 


56,70 


50.61 


76 


77 


5S.11 


50,52 


57,89 


50.77 


.57.67 


51.02 


.57,45 


51.27 


77 


78 


58.87 


51.17 


.58,64 


51,43 


68.42 


51.68 


58,19 


51.94 


78 


79 


59.62 


51.83 


.59.40 


52,09 


59.17 


52.35 


58.94 


52.60 


79 


8-J 
81 


60.38 


.52.48 


60.15 


52,75 


,59.93 


63.01 


59,68 


53.27 


80 


61.13 


53 . 14 


60.90 


53,41 


60.67 


53.67 


60,43 


53.94 


81 


82 


61.89 


53.80 


61.65 


54,07 


61. 4J 


,54,33 


61.18 


54.60 


82 


83 


62.64 


,54.45 


62.40 


54,73 


62.16 


.55,00 


61,92 


55.27 


83 


84 


63.40 


55.11 


63.15 


55,38 


62.91 


55.66 


62.67 


55.93 


84 


85 


64.15 


55.76 


63.91 


.56.04 


63.66 


56,32 


63,41 


,56.60 


85 


86 


64.90 


56.42 


64.66 


.56.70 


64.41 


56,99 


64,16 


57.27 


86 


87 


65.66 


.57.08 


65.41 


.57.36 


65.16 


57.65 


64,91 


57.93 


87 


88 


66,41 


.57,73 


66.16 


58.02 


65.91 


58,31 


65,65 


.58.60 


88 


89 


67.17 


58,39 


66.91 


58.68 


66.66 


58,97 


66,40 


59.26 


89 


90 


67.92 


59.05 


67.67 


59.-34 


67,41 


59,64 


67.15 


59.93 


90 


91 


68.68 


59 , 70 ' 


68.42 


60,00 


68.15 


60,30 


67.89 


60.60 


91 


92 


69.43 60.36 1 


69.17 


60,66 


68,90 


60.96 


68,64 


61,26 


92 


93 


70,19 


61.01 


69.92 


61.32 


69,65 


61,62 


69,38 


61.93 


93 


94 


70.94 


61.67 


70.67 


61.98 


70.40 


62.29 


70.13 


62,59 


94 


95 


71.70 


62.33 


71.43 


62.64 


71,15 


62.95 


70,88 


63.26 


95 


96 


72.45 


62.98 


72.18 


63.30 


71.90 


63.61 


71,62 


63,92 


96 


97 


73.21 


63.64 


72.93 


63.96 


72.65 


64.27 


72.37 


64,59 


97 


98 


73.96 


64,29 


73.68 


64.62 


73.40 


64,94 


73,11 


65,26 


98 


99 


74.72 


64.95 


74.43 


65.28 


74.15 


65.60 


73,86 


6o.92 


99 


m 

1 


75.47 65.61 1 


75.18 


65.93 


74.90 


66,26 


74,61 


66., 59 


100 
8 

1 

P 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep, 


Lat. 






1 




Q 


49 Deg. 


48| D^g. 


48iDeg, 


48i Deg. 



86 



TBAVEKSB TABLE. 



if 


42Deg, 


42iDeg. 1 


42i Deg. 


421 Deg. 


1 




Lat. 


Dep. 


Lat. 
0.74 


Dep. 

0.67 


Lat. 


Dep. 


Lat. 


Dep. 




\ 1 


0.74 


0.67 


0.74 


0.68 


0.73 


0.68 


1 




■ 2 


1.49 


1.34 


1.48 


1.34 


1.47 


1.35 


1.47 


1.36 


2 




3 


2.23 


2.01 


2.22 


2.02 


2.21 


2.03 


2.20 


2.04 


3 




4 


2.97 


2.68 


2.96 


2.69 


2.95 


2.70 


2.94 


2.72 


4 




5 


3.72 


3.35 


3.70 


3.36 


3.69 


3.38 


3.67 


3.39 


5 




6 


4.46 


4.01 


4.44 


4,03 


4.42 


4.05 


4.41 


4.07 


6 




7 


5.20 


4.68 


5.18 


4.71 


5.16 


4.73 


5.14 


4.75 


7 




8 


5.93 


5.35 


5.92 


5.38 


5.90 


5.40 


5.87 


5.43 


8 




9 


6.69 


6.02 


6.66 


6.05 


6.64 


6.08 


6,61 


6.11 


q 




10 


7.43 


6.69 


7.40 
8.14 


6.72 


7.37 


6.76 


7.34 


6.79 


10 

11 




11 


8.17 


7.36 


7.40 


8.11 


7.43 1 


8.08 


7.47 




. 12 


8.92 


8.03 


8.88 


8.07 1 


8.85 


8.11 


8.81 


8.15 


12 




la 


9.66 


8.70 


9.62 


8.74 


9.. 58 


8.78 


9.55 


8.82 


13 




14 


10.40 


9.37 


10.36 


9.41 


10.32 


9.46 


10,28 


9.50 


14 




15 


11.15 


10.04 


11.10 


10.09 


11.06 


10.13 


11.01 


10,18 


15 




16 


11.89 


10.71 


11.84 


10.76 


11.80 


10.81 


11.75 


10,86 


16 




17 


12.63 


11.38 


12.. 58 


11.43 


12.53 


11.48 


12,48 


11, .54 


17 




18 


13.38 


12.04 


13.32 


12.10 


13.27 


12.16 


13.22 


12.22 


18 




19 


14.12 


12.71 


14.06 


12.77 


14.01 


12.84 


13.95 


12.90 


19 




20 


14.86 


13.38 


14.80 
15.54 


13.45 


14.75 


13.51 


14.69 


13,. 58 


20 




21 


15.61 


14.05 


14.12 


15.48 


14.19 1 


15.42 


14.25 


21 




22 


16.35 


14.72 


16.28 


14.79 


16.22 


14.86 


16.16 


14.93 


22 




23 


17.09 


15.39 


17.02 


15.46 


16.96 


15.54 


16.89 


15.61 


23 




24 


17.84 


16.06 


17.77 


16.14 


17.69 


16.21 ■ 


17.62 


16.29 


24 




25 


18.58 


16.73 


18.51 


16.81 


18.43 


16.89 


18.36 


16.97 


25 




26 


19.32 


17.40 


19.25 


17.48 


19.17 


17.57 


19.09 


17.65 


26 




27 


20.06 


18.07 


19.99 


18.15 


19.91 


18.24 


19.83 


18.33 


27 




28 


20.81 


18.74 


20.73 


18.83 


20.64 


18.92 


20.. 56 


19.01 


28 




29 


21.55 


19.40 


21.47 


19. .50 


21.38 


19.59 


21.30 


19.69 


29 




30 
31 


22.29 


20.07 


22.21 


20.17 


22.12 
22.86 


20.27 


22.03 


20.36 


30 
31 




23.04 


20.74 


22.95 


20.84 


20.94 


22.76 


21.04 




32 


23.78 


21.41 


23.69 


21.52 


23.59 


21.62 


23.. 50 


21,72 


32 




33 


24.-52 


22.08 


24.43 


22.19 


24.33 


22.29 


24.23 


22,40 


33 




34 


25.27 


22.75 


25.17 


22.86 


25.07 


22.97 


24.97 


23.08 


34 




3.'^ 


26.01 


23.42 


25.91 


23.53 


25.80 


23.65 


25.70 


23 , 76 


35 




36 


26.75 


24.09 


26.65 


24.21 


26.54 


24.32 


26.44 


24.44 


36 




37 


27.50 


24.76 


27.39 


24.88 


27.28 


25.00 


27.17 


25.12 


37 




38 


28.24 


25.43 


28.13 


2.--. 55 


28.02 


25.67 


27.90 


25.79 


38 




39 


28.98 


26.10 


28.87 


26.22 


28.75 


26.35 


,28.64 


26.47 


39 




40 


29.73 126.77 


29 . 6 1 


26.3'J 


29.49 


27.02 


',29.37 


27.15 


40 
" 41 




■ 41 


30.47 


27.43 


.30.35 


27.57 


30.23 


27.70 


1 30 . 1 1 


27.83 




42 


31.21 


28.10 


31.09 


28.24 


.30.97 


28.37 


30.84 


28.51 


42 




43 


31.96 


28.77 


31.83 


28.91 


31.70 


29.05 


131. .58 


29.19 


43 




44 


32.70 


29.44 


32.. 57 


29.58 


.32.44 


29.73 


i.32.31 


29.87 


44 




45 


33.44 


30.11 


33.3! 


30.26 


33.18 


30.40 


33.04 


.30.. 55 


45 




46 


34.18 


30.78 


34.05 


30.93 


33.91 


31.08 


133.78 


31.22 


46 




47 


34.93 


31.45 


34.79 


31.60 


34.65 


31.75 


1.34.51 


31.90 


47 




4S 


35.67 


32.12 


35.. 53 


32.27 


35.39 


32.43 


1 35.25 


32,. 58 


48 




49 


36.41 


32.79 


36.27 


32.95 


36.13 


33.10 


35.98 


33.26 


49 




50 


37.16 


33.46 


37.01 


33.62 


36.86 


.33.78 


36 . 72 


33.94 


50 




1 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat 


1 














-s 




ft 


48 Deg. 


47} Deg. 


47i Deg. 


47iDeg. 


Q 


, 



TR AVERSE TABLE. 



87 



1' 

~51 


42 Deg. 


42i Deg. 


42i Deg. 


421 Deg. 


a 

51 


Lat. 


Dep. 


Lat. 


Dep. 

34.29 


Lat. 


Dep. 


Lat. 


Dep- 


37.90 


34.13 


37.75 


37.60 


34.46 


37.45 


34.62 


52 


oS . 64 


34.79 


38.49 


34.96 


33.34 


35.13 


38.18 


35.30 


52 


53 


39.39 


35.46 


39.23 


35.64 


39.08 


35.81 


38.92 


35.98 


53 


54 


40.13 


.38.13 


39.97 


30.31 


39.81 


36.48 


39.65 


36.66 


54 


55 


40.87 


36.80 


40.71 


36.98 


40.55 


37.16 


40.39 


37.33 


55 


56 


41.62 


37.47 


41.45 


37.65 


41.29 


37.83 


41.12 


38.01 


56 


57 


42.36 


38.14 


42.19 


38.32 


42.02 


38.51 


41.86 


38.69 


57 


58 


43.10 


33.81 


1 42 . 93 


39.00 


42.76 


39.18 


42.59 


39.37 


58 


59 


43.85 


39.48 


1 43.67 


39.67 


43.. 50 


39.86 


43.32 


40.05 


59 


60 
61 


44.59 


40.15 


44.41 


40 . 34 


44.24 1 40.-54 


44.06 


40.73 


60 
61 


45.33 


40.82 


45.15 


41.01 


44.97 


41.21 


44.79 


41.41 


62 


46.07 


41.49 


45.89 


41.69 


45.71 


41.89 


45.53 


42.09 


62 


63 


46.82 


42.16 


46.63 


42.36 


46.45 


42.56 


46.26 


42.76 


63 


64 


47.56 


42.82 


47.37 


43.03 


47.19 


4-3.24 


47.00 


43.44 


64 


65 


48.30 


43.49 


48 . 1 1 


43.70 


47.92 


43.91 


47.73 


44.12 


65 


66 


49.05 


44.16 


43.85 


44.38 


48.66 


44.. 59 


48.47 


44.80 


66 


67 


49.79 


44.83 


49 . 59 


45.05 


49.40 


45.26 


49.20 


45.48 


67 


68 


50.53 


45.50 


50.33 


45.72 


.50.13 


45.94 


49.93 


46.16 


68 


69 


5 1.28 


46.17 


51.07 


46.39 


50.87 


46.62 


50 . 67 


46.84 


69 


70 
71 


52.02 
.52.76 


46.84 
47.51 


5 1 . 82 
52.-56 


47.07 


51.61 


47.29 


51.40 


47.52 


70 
71 


47.74 


1 52 . 35 


47.97 |52.14 


43.19 


72 


53.51 


48.18 


53.30 


48.41 


,'S3.08 


48.64 52.87 


48.87 


72 


73 


.54.25 


48,85 


.54.04 


49.08 '153.82 


49.L-'2 53.61 


49.55 


73 


74 


54.99 


49.52 


' 54 . 78 


49.76 1 54.56 


49.99 1 54.34 


-50.23 


74 


75 


55 . 74 


50.18 


,55.52 


50.43 


55.30 


,50.67 


55 . 07 


50.91 


75 


76 


56.48 


.50.85 


56.26 


51.10 


56.03 


51.34 


55.81 


51.59 


76 


77 


.57.22 


51.52 


.57.00 


51.77 


56.77 i -52.02 


56 . -54 


52.27 


77 


78 


57.97 


.52.) 9 


57.74 


.52.44 


57.51 


52.70 


.57.28 


.52.95 


78 


79 


53.71 


52.86 


.58.48 


-53.12 


58.24 


53.37 


.58.01 


53.63 


79 


80 
81 


59.45 


53 . 53 


59.22 


53.79 


58.98 


.54.05 


58 . 75 


.54.. 30 


80 
-8l 


(10.19 


54.20 


59.96 


54.46 


59 . 72 


54.72 


-59.48 


-54.98 


82 


60.94 


54.87 


60.70 


55.13 


60.46 


.55.40 


60.21 


55.66 


82 


83 


61.68 


55.54 


61.44 


55.81 


61.19 


56.07 


60.95 


.56.34 


83 


84 


62.42 


56.21 


62.18 


56.48 


61.93 


-56.75 


61.68 


57.02 


84 


85 


63.17 


56.88 


62.92 


57.15 


62.67 


57.43 


62.42 


57.70 


85 


86 


63.91 


57.55 


63.66 


57.82 


63.41 


58.10 


63.15 


58.38 


86 


87 


64.65 


58.21 


64.40 


58 . 50 


64.14 


58.78 


63.89 


59.06 


87 


88 


65.40 


53.88 


65.14 


-59.17 


64.88 


59.45 


64.62 


59.73 


88 


89 


66.14 


59.55 


65. 8* 


59 . 84 


65.62 


60.13 


65.-35 


60.41 


89 


30 
91 


66.88 


60.22 


66.62 


60.51 


66.35 


60.80 


66.09 


61.09 


90 
91 


G7.63 


60.89 


67.36 


61.19 


67.09 


61.48 


66.82 


61.77 


92 


68.37 


61.56 


63.10 


61.86 


67.83 


62.15 


67.56 


62.45 


92 


93 


69.11 


62.23 


63.84 


62.53 


68.57 


62.83 


68.29 


63.13 


93 


94 


69.86 


62.90 


69 . 58 


63.20 


69.30 


63.51 


69.03 


63.81 


94 


95 


70.60 


63.57 


70.32 


63.87 


70.04 


64,18 


69.76 


64.49 


95 


96 


71.34 


64.24 


71.06 


64.55 


70.78 


64,86 


70.49 


65.16 


96 


97 


72.08 


64.91 


71.80 


65.22 


71.52 


65., 53 


71.23 


65.84 


97 


98 


72.83 


65.57 


72.-54 


65.89 


72.25 


66.21 


71.96 


66.52 


98 


99 


73.57 


66.24 


73.28 


66.56 


72.99 


66.88 


72.70 


67.20 


99 


100 

1 
.3 
Q 


74.81 66.91 


74.02 


67.24 


73.73 


67.56 


7.9.43 


67.88 


loa 

§ 

■s 


Dep. Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


48 Deg. j 


47iDeg. 1 


47i Deg. 


47i Deg, 



68 



TRAVERSE TABLE. 



c 

1 


43 Deg. 


43^ Deg. 


43i Deg. 


43i Deg. 




Lat. 


Dep. 


Lat. 


Dep 


Lat. 


Dep. 


Lat. 


Dep. 


0.73 


0.68 


0.73 


0.69 


0.73 


0.69 


0.72 


0.69 


1 


2 


1.46 


1.36 


1.46 


1.37 


1.45 


1.38 


1.44 


1.38 


2 


3 


2.19 


2.05 


2.19 


2.06 


2.18 


2.07 


2,17 


2.07 


3 


4 


2.93 


2.73 


2.91 


2.74 


2.90 


2.75 


2.89 


2.77 


4 


6 


3.66 


3.41 


3.64 


3.43 


3.63 


3.44 


3.61 


3.46 


5 


6 


4.39 


4.09 


4.37 


4.11 


4.35 


4.13 


4.33 


4.15 


6 


7 


5.12 


4.77 


5.10 


4.80 


5.08 


4.82 


5.06 


4.84 


7 


8 


5.85 


5.46 


5.83 


5.48 


5.80 


5.51 


5.78 


5.53 


8 


9 


6.58 


6.14 


6. 56 


6.17 


6.. 53 


6.20 


6.50 


6.22 


9 


10 


7.31 


6.82 


7.28 


6.85 


7.25 


6.88 


7.22 


6 92 


10 


11 


8.04 


7.50 


8.01 


7 . 54 


7.98 


7.57 


7.95 


7.01 


11 


12 


8.78 


8.18 


8.74 


8.22 


8.70 


8.26 


8.67 


8.30 


12 


13 


9.51 


8.87 


9.47 


8.91 


9.43 


8.95 


9.39 


8.99 


13 


14 


10.24 


9.55 


10.20 


9.59 


10.16 


9.04 


10.11 


9.68 


14 


15 


10.97 


10.23 


10.93 


10.28 


10.88 


10.33 


10.84 


10.37 


15 


16 


11.70 


10.91 


11.65 


10.96 


11.61 


11.01 


11. .56 


11.06 


16 


17 


12.43 


11.59 


12.38 


11.65 


12.33 


11.70 


12.28 


11.76 


17 


18 


13.16 


12.28 


13.11 


12.33 


13.08 


12.39 


13.00 


12.45 


18 


19 


13.90 


12.96 


13.84 


13.02 


13.78 


13.08 


13.72 


13.14 


19 


20 


14.63 


13.64 


14.57 


13.70 


14.51 


'3.77 


14.45 


13.83 


20 


21 


15.36 


14.32 


15.30 


14.39 


15.23 


'4.46 


15.17 


14.52 


21 


22 


16.09 


15.00 


13.02 


15.07 


15.96 


15.14 


15.89 


15.21 


22 


23 


16.83 


15.69 


16.75 


15.76 


16.68 


15.83 


16.61 


15.90 


23 


24 


17.55 


16.37 


17.48 


16.44 


17.41 


16.52 


17.34 


16.60 


24 


2r) 


18.28 


17.05 


18.21 


17.13 


18.13 


17.21 


18.06 


17.29 


25 


26 


19.02 


17.73 


18.94 


17.81 


18.86 


17.90 


18.78 1 1T'.98 


26 


27 


19.75 


18.41 


19.67 


18 50 


19.59 


18.. 59 


19.50 


18.67 


27 


28 


20.48 


19.10 


20. 3i. 


19.19 


20.31 


19.27 


20.23 


19,36 


28 


29 


21.21 


19. 7S 


21.12 


19.87 


21.04 


19.96 


20.95 


20.05 


29 


30 
31 


21.94 


20.46 


21.85 


20 . 56 


21.76 


20.65 


21.67 
22.39 


20.75 
21,44 


30 
31 


22.67 


21.14 


22.. 58 


21.24 


22.49 


21.34 


32 


23.40 


21.82 


23.31 


21.93 


23.21 


22.03 


23.12 


22,13 


32 


33 


24.13 


22.51 


24.04 


22.61 


23.94 


22.72 


23.84 


22.82 


33 


34 


24.87 


23.19 


24.76 


23.39 


24.66 


23.40 


24.56 


23.51 


34 


35 


25 . 60 


23.87 


25.49 


23.98 


25.39 


24.09 


25 . 28 


24.20 


35 


36 


26.33 


24.55 


26.22 


24.67 


26.11 


24.78 


26.01 


24.89 


36 


37 


27.06 


25.23 


26.95 


2,'). 35 


26.84 


25.47 


26.73 


25.59 


37 


3S 


27.79 


25.92 


27 . 68 


26.04 


27.56 


26.16 


27.45 


26.28 


38 


39 


28.52 


26.60 


28.41 


26 . 72 


28.29 


■26.85 


28.17 


26.97 


39 


40 
41 


29.25 


27.28 


29.13 

'29.88 


27.41 


29.01 


27.53 


28.89 


27.66 


40 


29.99 


27.96 


28 . 09 


29.74 


28.22 


29.62 


28.35 


41 


42 


30.72 


28.64 


30.59 


28.78 


30.47 


28.91 


30.34 


29.04 


42 


43 


31.45 


29.33 


31.32 


29.46 


31.19 


29.60 


31.06 


29,74 


43 


44 


32.18 


30 . 1 


32.05 


30.15 


31.92 


30.29 


31.78 


30,43 


44 


45 


32.91 


30.69 


32.78 


30.83 


32.64 


30.98 


32.51 


31,12 


45 


46 


33.64 


31.37 


.33.51 


31.52 


33.37 


31.66 


33.23 


31,81 


46 


47 


34.37 


32.05 


34.23 


32.20 


34.09 


32.35 


33.95 


32,50 


47 


48 


35.10 


32.74 


34.96 


32.89 


34.82 


33.04 


34.67 


.33.19 


48 


49 


.35.84 


33.42 


35.69 


33.57 


35.. 54 


33.73 


35.40 


33.88 


49 


50 


36 . 57 


34.10 


36.42 


34.26 


36.27 


34.42 


36.12 


34,58 


50 


1 


Dep. 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


1 


47 De^. 


m Deg. 


46i Deg. 


48iDeg. 



TBAVERSE TABLS. 



89 



2 

~51 


43 Deg. 


434 Deg. 


43iDeg. 


m Deg. 


1 

P 
51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. 


Dep. 


37.30 


34.78 


37.15 


"34794 


36.99 


35.11 


36.84 


35.27 


52 


38.03 


35.46 


37.88 


35.63 


37.72 


.35.79 


37,56 


35.96 


52 


53 


38.76 


36.15 


38.60 


36.31 


38.44 


36.48 


38.29 


36.65 


53 


51 


39.49 


36.83 


39.33 


37.00 


39.17 


37.17 


.39.01 


37.34 


54 


65 


40.22 


37.51 


40.06 


37.69 


39.90 


37.86 


39 . 73 


38.03 


55 


56 


40.96 


38.19 


40.79 


38.37 


40.62 


38.55 


40.45 


38.72 


56 


57 


41.69 


38.87 1 


41.52 


39.06 


41,. 35 


39.24 


41.17 


39.42 


57 


58 


42.42 


39 . 56 


42.25 


39.74 


42.07 


,39.92 


41.90 


40.11 


58 


59 


43.15 


41) . 24 


42.97 


40.43 


42.80 


40.61 


42.62 


40.80 


59 


fiO 
61 


43.88 


40.92 


43.70 


41.11 


43.52 


41.30 


43.34 


41.49 


60 
61 


44.61 


41.60 


44.43 


41.80 


44.25 


41.99 


44.06 


42.18 


62 


45.34 


42.28 


45. J 6 


42.48 


44.97 


42.68 


44.79 


42.87 


62 


63 


46.08 


42.97 


45.89 143.17 


45.70 


43.37 


45.51 


4 3.. 57 


63 


64 


46.81 


43.65 


46.62 43.85 


46.42 


44.05 


46.23 


44.20 


64 


65 


47.54 


•14.33 


47.34 44.. 54 


47.15 


44.74 


46.95 


44.95 


65 


66 


48.27 


45.01 


48.07 45.22 


47.87 


45.43 


47.68 


45 . 64 


66 


67 


49 . 00 


45.69 


48.80 45.91 


48.60 


46. li, 


48.40 


46.33 


67 


68 


49 . 73 


46.38 


4 9.. 53 


46.59 


49.33 


46.81 


49.12 


47.02 


68 


69 


50.46 


47.06 


.50.26 


47.28 


,50 . 05 


47., 50 


49.84 


47.71 


69 


70 
71 


51.19 
51.93 


47.74 
48.42 


.50.99 


47.96 


.50.78 


48.18 


50 . 57 
51.29 


48.41 


70 
71 


51.71 


48 . 65 


51.50 


48.87 


49.10 


72 


.52.66 


49.10 


52.44 


49.33 


52.23 


49., 56 


,52,01 


49.79 


72 


73 


53.39 


49.79 


53.17 


.50.02 


.52.95 


.50.25 


.52.73 


50 . 48 


73 


74 


,54.12 


.50.47 


.53 . 90 


.50.70 


53.68 


.50.94 


.53.45 


51.17 


74 


75 


.54.85 


51.15 


54.63 


61.39 


54.40 


51.63 


54.18 


51.86 


75 


76 


55.58 


51.83 


55.36 


52.07 


55.13 


52.31 


.54.90 


.52.55 


76 


77 


56.31 


.52.51 


56.08 


52.76 


55.85 


53.00 


55.62 


53.25 


77 


78 


57.05 


53.20 


56.81 


.53.44 


56.58 


53.69 


56.. 34 


53.94 


78 


79 


57.78 


53.88 


57.. 54 


54.13 


67.30 


.54.38 


57.07 


54.63 


79 


80 


58.51 


.54.. 56 


58.27 


54.81 


58.03 


55.07 


57.79 


,55,32 


80 


81 


59.24 


55.24 


59.00 


.55.50 


.58.70 


55 . 76 


.58.51 


56.01 


81 


82 


59.97 


55.92 


.59.73 


.56.18 


59.48 


,56.45 


59.23 


56 . 70 1 82 1 


83 


60.70 


56.61 


60.45 


56.87 


i 60.21 


.57.13 


59.96 


.57.40 


i 83 


84 


G1.43 


57.29 


61.18 


57.56 


60.93 


57.82 


60.68 


58.09 


84 


85 


62.17 


.57.97 


61.91 


58.24 


61.66 


58.51 


61.40 


58 . 78 


85 


88 


62.90 


58.65 


62.64 


58.93 


62.38 


59.20 


62.12 


.59.47 


86 


87 


63.63 


59.. 33 


63.37 


59.61 


63.11 


.59.89 


62.85 


60.16 


87 


88 


64.36 


60.02 


64.10 


60.30 


63.83 


60., 58 


63.-57 


60,85 


88 


89 


65.09 


60 . 70 


64.82 


60.98 


64.56 


61.26 


64.29 


61.54 


89 


90 
91 


65.82 


61.38 


65.-55 


61.67 


65 . 28 


6 1 , 95 


65.01 


62,24 


90 
91 


66.55 


62.06 


66.28 


62.35 


66.01 


62.64 


165.74 


62,93 


92 


67.28 


62.74 


67,01 


63.04 


66.73 


63.-33 


66.46 


63.62 


92 


93 


68.02 


63.43 


67.74 


63.72 


67.46 


64.02 


67.18 


64.31 


93 


94 


68.75 


64.11 


68.47 


64.41 


68.19 


64.71 


il 67.90 


65.00 


94 


95 


69.48 


64.79 


69.20 


65.09 


68.91 


65.39 


il 68.62 


65.69 


95 


96 


70.21 


65.47 


69.92 


65.78 


69.64 


66.08 


69.35 


66.39 


96 


97 


70.94 


66.15 


70.65 


66.46 


70.36 


66.77 


70.07 


67.08 


97 


98 


71.67 


66.84 


71.37 


67.15 


71.09 


67.46 


70.79 


67.77 


98 


99 


72.40 


67.52 


72.11 


67.83 


71.81 


63.15 


71.51 


68.46 


99 


100 

1 

a 


73.14 


68.20 


72.84 


68.52 


72.54 


68.84 


72.24 


69.15 


100 

1 

5 


Dep. 


Lat. 


Dep. 


Lat. 


D,p. 


Lat. 


Dep. 


Lat. 


47 Deg. 


461 Deg. 


4^Deg. 


464 Deg. 



90 



TRAVERSE TABLE. 



i 
"1 


: 44 Deg. 1 441 Deg. 


Uh Deg. 


441 Deg. 


45 Deg. 


G 

"T 


Lat. 


Dep. 11 Lat. 


Dep. 


Lat. 


Dep. 
0,70 


Lat. 
0,71 


Dep. 


Lat. 


Dep. 


0,72 


O.69II 0.72 


0.70 


0.71 


0.71 


0.71 


0.71 


s 


1.4^ 


1.39 


i.4f 


1,40 


1.43 


1,40 


1,42 


1,41 


1.41 


1,41 


2 


t 


2.16 


2.08 


2.15 


2,09 


2.14 


2.10 


2.13 


2,11 


2.12 


2,12 


3 


4 


2.8f 


2.78 


2.87 


2.79 


2.85 


2.80 


2,84 


2.82 


2.83 


2.83 


4 


fl 


3.6( 


3.47 


a.. 58 


3.49 


■S.b, 


3.50 


3.. 55 


3.52 


3.54 


3.54 


5 


6 


4.-33 


4.jr 


4.30 


4.19 


4.28 


4.21 


4.26 


4.22 


4,24 


4.24 


fi 


V 


5.04 


4.86 


5.01 


4.88 


4.99 


4,91 


4.97 


4.93 


4.95 


4.95 




8 


1 5.75 


5.56 


5.73 


5.58 


5.71 


5.61 


5.68 


5.63 


5.66 


5.66 


8 


9| 6.47 


6.25 


6.45 


6.28 


0.42 


6.31 


6.39 


6.34 


6.36 


6.36 


9 


10 


7.19 


6.95 


7.16 

7. '88 


6.98 


7.13 


7.01 
7,71 


7,10 


7.04 


7,07 


7.07 


to 


11 


7.91 


7.64 


7.68 


7.85 


7,81 


7.74 


7.78 


7.78 


1 1 


1'2 


8.63 8.34 


8.60 


8.37 


8.56 


8.41 


8.52 


8.45 


8.49 


8.49:12 


13 


9,35 9.03 


9.31 


9.07 


9.27 


9.11 


9.23 


9.15 


9.19 


9. I9ll3 


14 


10.07 9.73 


10.03 


9.77 


9.99 


9.81 


9.94 


9.86 


9.90 


9.90I14 


lib 


10.79|l0.42 


10.74 


10.47 


10.70 


10.51 


10.65 


10.56 


10.61 


10.61115 


16 


11.51 


11.11 


11.46 


11.16 


11.41 


11.21 


11.36 


11.26 


11.31 


11. 31116 


IV 


12.23 


11.81 


12.18 


11.86 


12.13 


11.92 


12.07 


11.97 


12.02 


12.02 


17 


18 


12.95 


12.50 


12.89 


12.56 


12.84 


12.62 


12.78 


12.67 


12.73 


12.73 


18 


19 


13.67 


13.20 


13.61 


13.26 


13. .^5 


13.32 


13.49 


13.. 38 


13.43 


13.43 


19 


20 

21 


14.39 


13.89 


14.33 


13.96 


14.26 


14.02 


14.20 
14.91 


14.08 


14.14 
14.85 


14.14 
14.85 


20 
2T 


15.11 


14.59 


15.04 


14.65 


14.98 


14.72! 


14.78 


22 


15.83 


15.28 


15.76 


15.35 


15.69 


15.42''15.62 


15.49 
16.19 


15.56 


15. 56! 23 


2;:! 


16.54 


15.98 


16.47 


16.05 


16.40 


16.12 16.33 


16.26 


16. 26! 23 


24 


17.26 


16.67 


17.19 


16.75 


17.12 


16.82 17.04 


16.90 


16.97 


16.97J24 


25 


17.98 


17.37 


17.91 


17.44 


17.83 


17.52: 17.75 


17.60 


17.68 


17. 38' 2.) 


26 


18.70 


18.06lil8.62 


18.14 


18.54 


18.22' 18.46 


18.30 


18.. 38 


18.38126 


27 


19.42 


18.76 19.34 


18.84 


19.26 


18.93! 19. 17 


19.01 


19.09 


19.09!27 1 


28 


20.14 


19.45 120.06 


19. .54 


19.97 


19.63' 19.89 


19.71 


19.80 


19.80 2S 


29 


20.86 


20 . 1 5 


20.77 


20.24 


20.68 


20.33 20.60 


20.42 


20.51 


20.51129 


30 

31 


21.. 58 


20.84 


21.49 


20.93 


21.40 

22.11 


21.03 21.31 


21.12 


21.21 
21.92 


21.2l|30 
21.92^31 


22.30 


21.53 


22.21 


21.63 


21.73 22.02 


21,82 


32 


23.02 


22.23 


22.92 


22.33 


22.82 


22.43; 22.73 


22,53 


22 . 63 


22.63132 


33 


23.74 


22.92 


23.64 


23.03 


23.54 


23.13 23.44 


23.23 


23.33 


23.33I33 


34 


24.46 


23.62 


24.35 


23.72 


24.25 


23.83i24.15 


23.94 


24.04 


24.04 34 


35 


25.18 


24.31 


25.07 


24.42 


24.96 


24.53 24.86 


24.64 


24.75 


24.75I35 


36 


25.90 


25.01 


25 . 79 


25.12 


25.68 


25.23! 


25.57 


25.34 


25.46 


25.46136 


37 


26.62 


25.70 


26.50 


25.82 


26.39 


25 . 93 


26.28 


26.05 


26.16 


26.10 


37 


38 


27.33 


26.40 


27.22 


26.52 


27.10 


26 . 63 


26.99 


26 . 75 


26.87 


26.87 


38 


39 


28.05 


27.09 


27.94 


27.21 


27.82 


27.34 


27.70 


27.46 


27.58 


27.58 


39 


40 

41 


28.77 
29.49 


27.79 


28.65 


27.91 
28.61 


28 . 53 


28.04 


28.41 


28,16 


28.28 


28.28 


40 
4T 


28.48 


29.37 


29 . 24 


28.74! 


29.12 


28.86 


28.99 


28.99 


42 


30.21 


29. IS 


30.08 


29.31 


29.96 


29.44 29.83 


29.57 


2.^.70 


29.70 


42 


43 


30.93 


29.87 


30.80 


30.00 


30.67 


30.14130.54 


.30,27 


.30.41 


30.41|43 


44 


31.65 
32.37 


30.56 


31.52 


30.70 


31.38 


30. 84! 31. 25 


30.98 


31.11 


31.11144 


45 


31.26 


32.23 


31.40 


32.10 


31.54 31.96 


31,68 


31.82 


31.82 45 


46 


33.09 


31.95 


32.95 


32.10 


32.81 


32. 24I 32.67 


32.38 


32.. 53 


.32.. 53 


46 


47 


33.81 


32 . 65 


33.67 


32.80 


33.52 


32. 94| 33.38 


33.09 


33.23 


33.23 


47 


48 


34.53 


33.34 


34 .-38 


33.49 


34.24 


33.64 34.09 


33.79 


33,94 


33.94 


48 


49 


35.25 


34.04 


3.5.10 


34.19 


34.95 


34.34 


34.80 


34.50 


34,65 


34.65 


49 


60 

I 

.2 

Q 


35.97 
Dep. 


34.73 


35.82 


34.89 


35.66 


35 . 05 


35.51 


35.20 


35,36 


35 .36 


50 

1 

i5 


Lat. 


Dep. 1 Lat, 


Dep. 


Lat, 


Dep. 


Lat. 


Dep. 


Lat. 


46 Deg. 


45 J Deg. 


45i Deg. 


454 Deg, 


45 Deg. 



TRAVERSE TABLE. 



91 



~Ei 


44Deg. 


441 Deg. 


44i Deg, 


441 Deg. 


1 
43 Deg. 


? 
"51 


Lat. 


Dep. 


Lat. 


Dep. 


Lat. Dep. 
36.38 35.75 


Lat. 


Dep.| 


Lat. 1 


Dep. 


36.69 


35.43 


36.53 


35.59 


36.-^2 


.35.90 3b. 06 


36.06 


52 


37.41 


36.12 


37.25 


36.29 


37,09136.45 


36.93 


36.01,136.77 


36.77 


52 


53 


38.12 


36.82 


37.96 


36.98 


37.80137.15 


37.64 


37.31 37.48 


37.48 


53 


54 


38.84 


37.51 


38.68 


37.68 


38.52, 


37.85 


38.35 


38.02 38.18 


38.18 


54 


55 


39.56 


38.21 


.39.40 


38,38 


39.23. 


38,55 


39.06 


38.72,38.89 


38.89 


55 


56 


40.28 


3S.90 


40.11 


39.08 


39.94 


39,25 


39.77 


39.42'39.60 


39.60 


56 


57 


41.00 


39.60 


40.83 


39.77 


40.66 


39,95 


40.48 


40.13,40.31 


40.31 


57 


58 


41.72 


40.29 


41.55 


10.47 


41.37 


10,65 


41.19 


40.83'41.0l 


41.01 


58 


59 42.44 


40.98 


42.26 


11.17 


42.08 


11,35 


41.90 


41.54l|41.72 


41.72 


59 


60 
61 


43.16 


41.68 


42.98 


11.87 


42.79 
43 51 


12.05 


42.61 
43.32 


42. 24| 42.43 
42.94143.13 


42.43 


60 
61 


43.88 


42.37 


43.69 


12.57 


12.76 


43.13 


62 


44.60 


43.07 


44.41 


13.26 


44 22 


43.46 


44.03 


43,65 43.84 


43.84 


62 


63 


45.32 


43.76 


45,13 


13.96 


44 93 


14.16 


44.74 


44.35 44.55 


44.55 


63 


64 


46.04 


44.46 


45.84 


14,66 


45 . 65 


14,86 


45.45 


45.06 45.25 


45.25 


64 


65 


46.76 


45.15 


46.. 56 


15.36 


46 36 


15,. 56 


46.16 


45.76,145.96 


45.96 


65 


66 


47.48 


45.85 


47,28 


16.05 


47.07 


16.26 


46.87 


46.46 146.67 


46.67 


66 


67 


48.20 


46.54 


47,99 


16.75 


47.79 


16.96 


47.58 


47.17 


47.38 


47.38 


67 


68 


48.92 


47.24 


48,71 


17.45 


48.50 


17.66 


48.29 


47.87 


48.08 


48.08 


68 ; 


69 


49.63 


47 . 93 


49.42 


18.15 


49.21 


18.. 36 


49.00 


48.58 


48.79 


48.79 


69^ ' 


70 


50.35|48.63 


50.14 


18.85 


49.93 


19.06 


49.71 


49.28 


49,50 


49.50 


70 


71 


5l.07i49.32 


50.86 


19.54 


50.64 


i'9,76 


50.42 


49.98 


50.20 


.50.20 


71 


72 


51.79:50.02 


51.57 


50.24 


51.35 


50,47 


51.13 


50.69 


50.91 


50.91 


72 


73 


52.51 .50.71 


52.29 


50.94 


52.07 


51.17 


51.84 


51.39 


51.62 


51.62 


73 


74 


53.2351.40 


53.01 


51.64 


52.78 


51.87 


.52.55 


52.10 


52.33 


52.33 


74 


75 


53.95l52.10 


53.72 


52.33 


.53.49 


52,57 


53.26 


52.80 


53.03 


53.03 


75 


76 


54.67|52.79 


.54.44 


53.03 


64.21 


53,27 


5a. 97 


53.51 


53.74 


53.74 


76 


77 


55.3953.49 


,55.16 


53.73 


54.92 


53,97 


54.68 


54.21 


54.45 


54.45 


77 


78 


56.1l!.54.18 


55.87 


54.43 


55.63 


54,67 


55.39 


.54.91 


55.15 


5.5.15 


78 


79 


.56.83:54.88 


56.59 


55.13 


5e.35 


55,37 


,56.10 


55.62 


55.86 


55.86 


79 


80 
81 


57.55 55.57 

58.27156.27 


-57.30 


55.82 


57.06 


56.07 


156.81 


56.32 
57.03 


.56 .57 

57.28 


56 . .57 


80 
81 


58.02 


56.521 


57.77 


56.77 


57.52 


57. 2S 


82 


58.9956.96 


58.74 


57.22 


.58.49 


57.47 


58.24i57.73 


57.98 


57.98 


82 


83 


59.71 57.66 


59.45 


57.92 


59.20 


58.18 


58. 95158. 43 


58.69 


,58.89 


83 


84 


60.42 58.35 


60.17 


.58,61 


,59.91 


58.88 


59.66159.14 


59. 40! 59. 40 


84 


85 


61.14 59.05 


60.89 


59.31 


60.63 


.59.58 


:60. 37 59.84 


160.10160.10 


85 


86 


61.86.59.74 


61.60 


60,01 


61.34 


60.28 


,61.08 60.55 


160.81 60.81 


86 


87 


62.58 60.44- 


62.32 


60,71 


62.05 


60.98 


161.79 61.25 


161. 5261. 52 


87 


88 


63.30 61.13 


63.03 


61.41 


62.77 


61.68 


;62. 50 61.95 


162.2362.23 


88 


89 


64.02 61.82 


63.75 


62.10 


63.48 


62.38 


63.21 62.66 


162.93 62.93 


89 


9n|ry4.74 62.52 


64.47 


62.80 


64.19 


63.08 


63.92 63.36 


63.64 03.64 


90 


91 


65.46 63.21 


65.18 


63.50 


64.91 


63.78 


64.63 64.07 


64.35 64.35 


91 


92 


66.1863.91 


65.90 


64.20 


65.62 


64.48 


65.34 64.77 


65.05 65.05 


93 


93 


66.90 64.60 


,66.62 


64.89 


66.33 


65.18 


66.05 65.47 


65.76 65.76 


93 


94 


67.62 65.30 


67.33 


65.59 


67.05 


65.89 


66.76 66.18 


66. 47166. 47 


94 


95 


68.34 65.99 


68.05 


66.29 


67.76 


66.59 


67.47 66.88 


67.18167.18 


95 


9fi 


69.06 66.69 


68.76 


66.99 


68.47 


67.29 


68.18 67. 59''67. 88 67.88 


96 


97 


69.78 67. .38 


69.48 


67.69 


69.19 


67.99 


68.89 68.29:68.59 68.59 


97 

1 98 


98 


70,50 68.08 


70.20 


68.38 


69.90 


68,69 


69.60 68.99169.30 69.30 
70.31 69.70 70.00 70. OC 
71.02 70.40 70.71 70.71 

Dep. Lat. | Dep. Lat. 


9'J 


71.21 68.77 


70.91 


69.08 


70.61 


69.39 


99 


10^ 

8 
c 

s 


71.93 69.47 
Dep. Lat. 


71.63 


69.78 
Lat. 


71.33 


70.09 
Lat. 




Dep. 


Dep. 


46 Deg. 


451 Deg. 


45 i Deg. 


45i Deg. 45 Deg. 



A TABLE OF NATURAL SIITES. 



Deg. 



iNat. 



00000 
00029 
00058 
00087 
00116 
0014.0 
00175 
00204 
00233 
00262 
0(1391 
0O320 
00349 
00378 
00407 

15'Co436 

16 

17 

18 

19 

20 



00465 
00495 
00524 



N\ Co- 
Sii,e 

Unit' 
00000 
00000 
00000 
00000 
00000 
00000 
00000 
00000 
00000 
00000 
99999 
99999 
99999 
99999 
99999 



9999 

99999 

99999 



00553 99998 
00582'99998 



006 1 1 
00640 
00669 
.,,00698 
25 007:i7 
261007^6 
27100785 



99998 
9999-3 
9999S 
99998 
99997 
99997 
99997 



28:00814:9999' 



29 00844 

30 00873 
3ll00902 
32100931 
33100960 
34 00989 



OJ018 
01047 
01076 
01105 



9999(1 
9999'i 



9999f! 
99996 
99995 
99995 
999>)5 
99995 
99994 
99994 



0113499994 
01164 99993 



01193 
0l22:c 
01251 

01280 
01309 



01338 
01367 
01396 
01425 
01454 
01483 
01513 
01542 
01571 
01600 
01629 
01658 
01687 
01716 



99993 
99993 
99992 
99992 
9 9991 
99991 
99991 
99990 
99990 
99989 
99989 
99989 
99988 
99988 
99987 
99987 
99986 
99986 
99985 



01832 
01862 
01891 
01920 
01949 
01978 
02007 
02036 
02065 
02094 
02123 
03152 
03181 



Sine 
01745 99985 
01774|99984 
01803 99984 



022 1 i 

02240 

02269 

02398 

03337 

02356 

02385 

02414 

02443 

02472 

0250 

02530 

02560 

02589 

02618 



89 Deff. 



03647 
02676 
02705 
02734 
J2763 
)2792 
12821 
)2SoO 
03879 
02908 
9293S 
02967 
02996 
13025 
03054 



)3083 
03112 
13141 
1/3170' 
.13199 
>3228 
03257 
13286 
13316 
03345 
03374 
93403 
13432 
03461 



99983 
99983 
99983 
99983 
99981 



"2 Deg. 



Nat. 



03490 
03519 
03548 
03577 
03606 
03635 
03664 
03693 
03733 
03753 
03781 
03810 
03839 
03868 
03897 
03926 



99980 
99979 
99979 
99978 
99977 
99977 
99976| 
99976 
99975 
99974 
99974 
99973 
99972 
99972 
99971 
99970 
99969 
99969 
99968; 
99967 
99966 
99966 
99965 04391 



03955 

03984 

04013 

04042 

0407 

04100 

04129 

04159 

04188 

04217 

04246 

04275 

04304 

04333 

04392 



99964 
99963 
99963 
999H3 
99961 
999601 
99959 
99959 



04430 
04449 
04478 
04507 
04536 
04565 
04594 
04623 



99939 
99938 
99937 
99936 
99935 
99934 
99933 
99932 
99931 
99930 
99929 
99927 
99926 
9992fe 
99924 
99923 
99922 
99921 
99919 
99918 
99917 
99916 
999 IS 
99913 
99912 
11 
99910 
99909 
99907 
9990K 
99905 



05234 99863 
05263 99861 
05292 99860 
0532l'99858 
05350 99857 
05379:99855 
05408 99854 
05437 99853 
05466199351 
05495199849 
05524199847 
05553 99846 



99'„04 
99902 
99901 
99900 
99398 
99897 
99896 
99894 
99893 
998921 



3 Deg. 



Nat. N. Co- 
sine Sine 



06976 99756 
07005 99754 
07034 99752 
07063 99750 
07092 99748 
07121 99746 



05582 
0561 
05640 
05669 



05698 

05727 

05756 

05785 

058 

05844 

05873 

05903 

05931 

15960 

05989 

06018 

06047 

06076 

06105 



99889 
99888 
99886 
99885 



\. Co- 
Sine 



19958 |i04653 
99957'04683 
99956 04711 
99955 04740 
19954:04769 
99953 04798 
.)9952 04827 99883 
19952 04856 99883 
99951 04885 99881 
19950 04914 99879 
99949 04943 99878 
99948 04972 99876 
99947 06001 998751 
99946 05030 99873 
99945 0.50.59 99872 
99944 05088 99870 
99943 05117 
99942 05146 
99941 05175 
99940 05205 
iN. Co- 
Sine 



88 He?. 



99867 
99866 
99864 



87 Dps. 



06134 

06163 

0619 

06231 

06250 

06379 

06308 

06337 



06395 

06424 

06453 

06482 

06511 

06540 

06569 

0659S 

06627 

06656 

066S5 

01714 

06743 

06773 99770 

06802(99768 

06831199766 

06860|99764 
99763 
99760 



99844 
99842 
99841 
99839 
99838 
99836 
99834 
99833 
99831 
99829 
99827 
99826 
99824 
99822 
99821 
99S19 
99817 
99815 
9 98 13 | 
99812' 
99810' 
99808. 
99806 
99804 
99803 
99801 
99799 
99797 
99795 
99793 
99793 
99790 
99788 
99786 
99784 
99782 
99780 
99778 
99776 
99774 
99772 



07150 
07179 
07208 
07237 
07366 
07395 
07324 
07353 
07382 
0741 



0694 7 

N. Co" 
Sine 



9975« 



86 Df 



4 Deg. 



07788 
0781 



N. Co- 
Sine 



07440 
07469 
0749S 
07537 
07556 
07585 
07614 
07643 
07673 
07701 
07730 
07759 99699 



99744 

99742 

99740 

99738 

99736|50 

99734 49 

99731 48 

99729 47 

99737 

9 9725 

99723 

99721 

99719 

99716 

99714 

99713 

99710 

99708 

99705 

99703 

99701 



99694 



07846 99692 



07875 99689 
07904 99687 
07933 99685 
07962 99683 



07991 99680 
08030 99678 24 
08049 99676 23 
08078 99673 23 
08107 99671 . 
08136 99668 30 
165 99666 19 
08194 99664 18 
3 99661 



( 



0822L 

08352 99059 
08281 99657 



083 1 99654 
08339 99652 
08368. 99649 
0839799647 
08426 99644 
08455 99642 
08484 99639 
08513 99637 
08542 99635 
08571 99632 
18600 99630 
08629 
18658 
18687 



99627 
99625« 2 
99622 1 

Nat. M 

Sine .' 



A TABLE OF TJATtTlAt SINES. 



03 




98551 
98546 
98541 
98536 
98531 
98526 
98521 
98516 
98511 
17222198506 
17250 98501 
17279:98496 
17308,98491 
17336 ,98486 
M.(,S.| ]N 



H4 Desr 



94 



A TABLE OP TSATt-KAL SINES. 



_7365 
17393 

17422 
17451 
17479 
17508 
17537 
17565 
17594 
17623 
17651 
17680 
17708 
.7737 
17766 
1 / 794 
17823 
17852 
17880 
17909 
1793 



98399 
98394 
98389 
98383 
9837S 
17966 98373 
98368 
98362 
9S357 
9S352 
98347 



10 Deg. 



N. S. 



N.CS. 
98481 
98476 
98471 
98466 
98461 
98455 
98450 
98445 
98440 
98435 
98430 
98425 
98420 
98414 
98409 
98404 



11 Dej 



N.S. 



17995 
18023 
18052 
18081 
18109 
18138 
18166 
18195 
18224 
18252 
18281 
18309 
18338 
18367 
18395 
18424 
18452 
18481 
18509 
18538 
18567 
18595 
18624 
18652 



98341 



98331 
98325 



18681 
18710 
18738 
18767 
18795 
18824 
18852 
18881 
18910 
18938 
18967 
18995 
19024 
19052 



98320 
98315 
98310 
98304 
98299 
98294 
98288 
98283 
98277 
98272 
98267 
98261 
98256 
98250 
98245 



N.CS. 

T9081 98163 
19109 98157 
19138 98152 
19J67 98146 
19195 .J8140 
19224 98135 
19252 98129 
19281 98124 
19309 98118 
1933s 98112 
19366 tl8l07 
19395 98101 
19423 98096 
19452 98090 
19481 98084 
19509 98079 
1953^; i)8073 
19566 98067 
19595 98061 
19623 98056 
,19652 98050 
119680 98044 
19709 98039 
197.37 98033 
19760 98027 
19794 98021 
19823 98016 
19851 98010 
19880 98004 
19908 97998 
19937 97992 
19965 979S7 
J19994 97981 
20022 97975 
,20051 97969 
20079 97963 
20108 97958 
20136 97952 
,20165 97946 
120193 97940 
20222 97934 
20250 97928 
20279 97922 
20307 979 



98240 
98234 
98229 
98223 
98218 
98212 
98207 
98201 
98196 
98190 
98185 
98179 
98174 
98168 



N. OS. I N. S. 
79 Deg. 



20336 97910 
20364 97905 



20393 97899 
20421 97893 
20450 97887 
20478 97881 
20507 97875 
20535 97869 
20563 97863 
20592 97857 
20620 97851 
20649 97845 
20677 97839 
20706 97833 
20734 97827 
20763 9782 1 
N. CS. I N. S". 



12 -Ue^. II 13 Peg. 



20791 
20820 
20848 
20877 
20905 
20933 
20962 
20990 
21019 
21047 
21076 
21104 
21132 
21161 
21189 
21218 



N.CS . I N.S. I 
97815! 22495 
97809'22523 



97803 
97797 
97791 
97784 



21246 
21275 
21303 
21331 
21360 
21388 
21417 
21445 
21474 
21502 
21530 
21559 
21587 
21616 
21644 



21672 

21701 

21729 

21758 

21780 

21814 

21843 

21871 

21899 

21 

21956 

21985 

22013 

22041 

22070 



7fi U( 



22098 
22126 
22155 
22183 

22212 
22240 
22268 
22297 
22325 
22353 
22382 
22410 
22438 
22467 



22552 
22580 
22608 
22637 



97778122665 
97772 22693 
97766: 22722 
97760! 22750 
97754! 22778 
97748122807 
97742' 22835 
97735122863 
97729,22892 
97723 , 22920 
97717122948 
97711122977 
97705; 23005 
97698 23033 
97692' 23062 
97686 23090 
97680i;23118 
97673:23146 
97667:23175 
976611:23203 
97655' 23231 
97648:,23260 
97642'23288 
97636123316 
97630 . 23345 



14 D 



6g- 



97623 
97617 
97611 
97604 
97598 
97592 
97585 
97579 
97573 
97566 
97560 
97553 
97547 
97541 
97534 



N.CS. 

97437 

97430 

97424 

97417, 

9741 If 

97404 

97398| 

97391 

97384; 

97378 

97371 

97365, 

973581 

973511 

97345 

9733 8 

97331 

97325 

97318 

97311 

97304 

97298 

97291 

97284 

97278 

97271 

97264 

97257 

97251 

97244 

97237 



24192 
24220 
24249 
24277 
24305 
24333 



97030 
97023 
97015 
97008 
97001 
96994 



24362 96987 
24390196980 
24418196973 



23373 
23401 
23429 
23458 
23486 
23514 
23542 
23571 
23599 
23627 
23656 
23684 
,23712 
,23740 
123769 



97528 
97521 
97515 
97508 
97502 
97496 
97489 
97483 
97476 
97470 
97463 
97457 
97450 
97444 
N.S. 



N. Cf j, 

T? Dea. 



23797 
23825 
23853 
23882 
23910 
23938 
23966 
23995 
24023 
24051 
24079 
24108 
24136 
1 24164 
nTcs", 



97230 
97223 
97217 
97210 
97203 
97196 
97189 
97182 
97176 
97169 
97162 
97155 
97148 
97141 
97134 



97127 
97120 
97113 
97106 
97100 
97093 
97086 
97079 
97072 
97065 
97058 
97051 
97044 
9703 



76 Datj. 



24446 
24474 
24503 
24531 
24559 
24587 
24615 



96966 
96959 
96952 
96945 
96937 
96930 
96923 



24644 
24672 
24700 
24728 
24756 
24784 
24813 
24841 
24869 
24897 
24925 
24953 
24982 
250 U) 
25038 



25066 
25094 
25122 
25151 
25179 
25207 
25235 
25263 
25291 
25320 
25348 
25376 
25404 
25432 
25460 



2.5488 

25516 

25545 

25573 

25601 

25629 

2565 

2.5685 

25713 

25741 

2.5769 

25798 



96916 
96909 
96902 
96894 
96887 
968.80 
96873 
96866 
96858 
96851 
96844 
96837 
96829 
96822 
96815 



96807 
96800 
96793 
96786 
96778 
96771 
96764 
96756 
96749 
96742 
96734 
96727 
96719 
96712 
96705 



96697 
96690 
96682 
96675 
96667 
96660 
96653 
96645 
96638 
96630 
96623 
96615 
25826196608 
25854 ' 9660p 
N.CS. I N.S. 



75 Dejr. 



A TABLE OP NATURAL SINES. 



9b 



15 Deg. 



25882 
25910 



25966 
25994 
26022 
26050 
26079 
26107 
26135 
26163 
26191 
26219 
26247 
26275 
20303 



26331 
6359 
26387 
2641 
26443 
26471 
26500 
26528 
26556 
26584 
26612 

to 

28te6668 



26696 
26724 



26752 
26780 
25808 
26836 
26864 
26892 
26920 



26976 
27004 
27032 
27060 

27088 
27116 
27144 



27172 
27200 
27228 
27256 
27284 
27312 
27340 
27368 
27396 
27424 
27452 
27480 
27508 
27536 



N.CS. 



N.CS. 



96593 

96585 

96578 

96570 

96562 

96555 

96547 

96540 

96532 

96524 

9651 

9G509 

9650S 

96494 

96486 

96479 



96471 
90463 
96456 
96448 
96440 
96433 
96425 
96417 
96410 
96402 
96394 
96386 
96379 
96371 
96363 



16 Deg. 



N. S. N. CS. 



96355 
96347 
96340 
96332 
96324 
16 
96308 
96301 
96293 
96285 
96277 
96269 
96261 
96253 
96246 



96238 
96230 
96222 
96214 
96206 
96198 
96190 



96174 
96166 
96158 
96150 
96142 
16134 
N.S. 



74 Deg. 



27564 
27592 
27620 
27648 
27676 
27704 
27731 
27759 
2778' 
27>! 1 5 
843 
27871 
7899 
7927 
27955 
27983 
280 1 1 
38039 
28067 
28095 
28123 
28150 
28178 
28206 
28234 
28262 
28290 
28318 
28346 
28374 
28402 



28429 
28457 
28485 
28513 
28541 
28569 
28597 
28625 
28652 
28680 
28708 
28736 
28764 
28792 
28820 



28847 
28875 
28903 
28931 
28959 
28987 
29015 
29042 
29070 
29098 
29126 
29154 
29182 
29209 



N. CS. 



96126 
96118; 
96110] 
961021 
960941 
96086! 
96078| 
95070 
96062! 
96054! 
96046ti 
96037 
96029 
96021 
96013 
9^05 
95997 
95989 
95981 
95972 
95964! 
95956 
95948 
95940 
95931 
95923 
95915 
95907 
95898 
95890 
9 5882 
95874 
95865 
95857 
95849 
95841 
95832 
95824 
95816 
95807 
95799 
95791 
95782 
95774 
95766 
95757 
95749 
95740 
95732 
95724 
95715 
95707! 
95698 
95690 
95681 
95673 
95664 
95656 
95647 
9 5639 
N. S. 



17 Deg. 



N.S. 
29237 
29265 
29293 
29321 
29348 
29376 
29404 



N. CS. 



95630 
95622 
95613 
95605 
95596 
95588 
95579 
29432195571 
29460|95562 
29487195554 
29515!95545 
295i3j95536 
29571 95528 
2959995519 
29620|95511 
29654 J 95502 I 
296S295493 



29710 
29737 
29765 
29793 
29821 
29849 
29S76 
29904 
29932 
29960 
29987 
30015 
30043 
30071 



73 Deg. 



30098 
30126 
30154 
30182 
30209 
30237 
30265 
30292 
30320 
30348 
30376 
30403 
30431 
30459 
30486 



.30514 
30542 
30570 
30597 
30625 
30653 
30680 
30708 
30736 
30763 
30791 
30819 



'954S5 
95476 
9.5467 
9.5459 
95450 
9.5441 
9,5433 
95424 
95415 
95407 
95398 
95389 
95380 
95372 



95363 
953.54 
95345 
95337 
95328 
9.5319 
95310 
95301 
95293 
95284 
95275 
95266 
95257 
95248 
95240 



95231 
95222 
95213 
95204 
95195 
95186 
95177 
95168 
95159 
95150 
95142 
951.33 



30846 95124 

30874 95115 

N. CS. 1 N. S. 

72 Deg. 



18 Deg. I 



N.S. 



32171 94684 
32199 94674 
.32227 94665 
32254 94656 
32282 94646 
32309 94637 
32337 94627 
32364 94618 
32392 94609 
32419 94599 
94590 
94580 
94571 
94.561 



N. CS. 



30902 95106 
30929 95097 
30957 9.5088 
30985 9.5079 
31012 95070 
31040 95061 
31068 95052 
31095 9.5043 
31123 95033 
31151 95024: 
31178 95015 
31206 9.5006 
31233 94997 
31261 94D88 
31289 94979 
31316 94970 
31344 94961 
31372 94952 
31399 94943| 
31427 949331 
31454 94924 
U4S2 94915 
31510 94906 
31537 94897 
31.565 94888 
31593 94878 
31620 94869 
3 1643 94860 
31675 94851 
31703 94842 
31730 94832 



31758 94823 
31786 94814 
31813 94805 
31841 9479; 
31868 94780 
31896 94777 

31923 

31951 94758 
31979 94749 
32006 94740 
32034 94730 
.32061 94721 
32089 94712 
32116 94702 
32144 94693 



32447 
32474 
32502 
32529 

N. CS. 



N.S. 



71 Deg. 



19 Deg. 



N.i 



32557 
32584 
32612 
32639 
32667 
32694 
32722 
32749 
32777 
32804 
32832 
32859 
32887 
32914 
32942 
32969 



32997 
33024 
,33051 
33079 
331&ci 
331.34 
33161 
33189 
33216 
.33244 
33271 
33298 
33326 
33353 
33381 



33408 
33436 
33463 
33490 
33518 
33545 
33573 
33600 
33627 
33655 
33682 
33710 
33737 
33764 
33792 



N 

94552 

94542 

94533 

94523 

94514 

94.504 

94495 

94485 

94476 

94466 

94457 

94447 

94433 

94428 

94418 

94409 



94399 
94390 
94380 
94370 
94361 
94351 
94342 
94332 
94322 
94313 
94303 
94293 
94284 
94274 
94264 



94254 
94245 
94235 
94225 
94215 
94206 
94196 
94186 
94176 
94167 
94157 
94147 
94137 
94127 
94118 



94108 



94088 
94078 



33819 
33846 
33874 
33901 
33929 
33956 94068 
33983 94049 
.34011194039 
34038| 94029 
34065^94019 
34093 94009i 
34120,93999 3 
.34147 93989 2 
34175 9397m ^ 
N. CS. ! N. S. \ W 
70 DegT"; 



A TABLE OF NATURAL SINES. 



9" 



25Deg. 



N.CS. 
90631 
90618 



26 Deg. 



43025 
43051 



43077 
43104 
43130 
43156 
43183 
43209 
43235 
43261 
43287 
43313 
43340 
43366 
43392 
43418 
i 43445 



43837 
43863 
43889 
43916 
43942 
43968 
43994 
44020 
44046 
44072 
44098 
44124 
44151 
44177 
44203 
44229 
44255 
44281 
44307 
44333 
44359 
44385 
44411 
44437 
44464 
44490 
44516 
44542 
44568 
44594 
44620 



N.CS . 
89879 
89867 
89854 
89841 



16 
89803 
89790 
89777 
89764 
89752 
89739 
89726 
89713 
89700 
89687 



43471 
43497 
43523 
43549 
43575 
43602 
43628 
43654 
: 43680 
i 43706 
i 43733 
' 43759 
1 43785 
143811 
" N, 



89981 
89968 
89956 
89943 
89930 
89918 
89905 
89892 



64 Deg. 



27 Deg. 



N.S. 



45399 
45425 
45451 
45477 
45503 
45529 
45554 
45580 
45606 
45632 
45658 
45684 
45710 
45736 
45762 
45787 



89674 
89662 
89649 
89636 
89623 
89610 
89597 
89584 
89571 
89558 
89545 
89532 
89519 
89506 
8^493 
89480 
89467 
89454 
89441 
89428 
89415 
89402 
89389 
89376 
89363 
893o0 
89337 
89324 



44646 

44672 

44698 

44724 

44750 

44776 

44802 

44828 

44854 

44880 

44906 

44932 

44958 

44984189311 

45010189298 

45036 



45062 
45088 
45114 
45140 
45166 
45192 
45218 
45243 
45269 
45295 
45321 
45347 
45373 



N.CS, 



45813 

45839 

45865 

45891 

45917 

45942 

45968 

45994 

46020 

46046 

46072 

4609 

46123 

46149 

46175 



N. CS. 



89101 
89087 
89074 
89061 
89048 
89035 
89021 
89008 
88995 

81 
88968 
88955 

42 
88928 
88915 
88902 



88875 
88862 
88848 
88835 
88822 



88795 
88782 
88768 
88755 
88741 
88728 
88715 
88701 



46201 
46226 
46252 
46278 
46304 
46330 
46355 
46381 
46407 
46433 
46458 
46484 
46510 
46536 
46561 



89285 
89272 
89259 
89245 
89232 
89219 
89206 
89193 
89180 
89167 
89153 
89140 
89127 
89114 



46587 
46613 
46639 
46664 



N. 



46716 
46742 
46767 
46793 
46819 
46844 
46870 



63 Deg. 



28 Deg. 



I 29 Deg. 



N.S. 



N.CS. 



46947 
46973 
46999 
47024 
47050 
47076 
47101 
47127 
47153 
47178 
47204 
47229 
47255 
47281 
47306 
47332 



47358 
47383 
47409 
47434 
47460 
47486 
47511 
47537 
47562 
47588 
47614 
47639 
47665 
47690 
47716 



88688 
88674 
1 

88647 
88634 
88620 
88607 
88593 
88580 
88566 
88553 
88539 
88526 
88512 



88295 
88281 
88267 
88254 
88240 
88226 
88213 
88199 
8S185 
88172 
88158 
88144 
88130 
88117 
88103 



88075 
88062 
88048 
88034 
83020 
88006 
87993 
87979 
87965 
87951 
87937 
87923 
87909 
87896 
87882 



48481 
48506 
48532 
48557 
48583 
48608 
48634 
48659 
48684 
48710 
48735 
48761 
48786 
48811 
48837 
48862 



87462 GO 

87448 59 
8743458 

8742057 



8740656 
8739155 
8737754 
87363 53 



87349 
87335 
87331 
87306 
87292 
87278 
87264 
87250 



47741 
47767 
47793 
47818 
47844 
47869 
47895 
47920 
47946 
47971 
47997 
48022 
48048 
48073 



88485 
88472 
88458 
88445 
88431 
88417 
88404 



88377 



46921 



88349 
88336 
88322 
88308 



87868 

87854 

87840 

87826 

8781 

87798 

87784 

87770 

87756 

87743 

87729 

87715 

87701 

87687 

87673 



48888 
48913 
48938 
48964 
48&89 
49014 
49040 
49065 
49090 
49116 
49141 
49166 
49192 
49217 
49242 



87235 -- 

87221143 



87207 
87193 
87178 
87164 
87150 
87136 
87121 
87107 
87093 
87079 
87064 
87050 
87036 



4921 

49318 

49344 

49369 

49394 

49419 

49445 

49470 

49495 

49521 

49546 

49571 

49596 

49622 



48124 
48150 
48175 
48201 
48226 
48252 
48277 
48303 



87659 
87645 
87631 
87617 
87603 
87589 
87575 
87.561 



4832S 187546 
48354187532 



48379 
48405 
48430 
48456 

cs7 






87518 
87504 
87490 
87476 



62 Deg. I 61 Deg. 



87021 
87007 
86993 
86978 
86964 
86949 
86935 
86921 
86906 
86892 
86878 
86863 
86849 
86834 
86820 



49647 
49672 
49697 
49723 
49748 
49773 
49798 
49824 



86805 
86'/91 
86777 
86762 
86748 
86733 
86719 
86704 



49849186690 
49874186675 
4989986661 
49924,86646 
4995086632 
49975 86617 
"N.CS. I N.S. 
60 Deg. 



A TABLE OF NATUBAL SINES. 



30 De 



50403 
50428 
50453 
50478 
50503 
50528 
50553 
50578 
50603 
50628 
50654 
50679 
50704 
50729 
50754 



N. S. I N. C S. 
5000086603 
5002586588 
5005086573 
5007686559 
50101 86544 
5012686530 

0151 86515 
50176 86501 
50201 86486 
50227186471 
5025286457 
5027786442 
5030286427 
503271 86413 
50352 
50377 



sTd; 



eg- 



N.S. 



50779 
50804 
50829 
50854 
50879 
50904 
50929 
50954 
50979 
51004 
51029 
51054 
51079 
51104 
51129 



51154 
5] 179 
51204 
51229 
51254 
51279 
51304 
51329 
51354 
51379 
51404 
51429 
51454 
51479 



86369 
86354 



86325 
86310 
86295 
86281 



86251 
86237 
86222 
86207 
86192 
86178 
86163 



86074 
86059 
86045 
86030 
86015 
86000 
85985 
85970 
85956 
85941 



85926 
85911 
85896 
85881 
85866 
85851 
85836 
85821 
85806 
85792 
85777 
85762 
85747 
85732 



N. CS. I N. S. 
59 Deg. 



^51604 
51529 
51554 
51579 
51604 
i51628 
:51653 
51678 
51703 
[51728 
151753 
151778 
^51803 
'51828 
51852 
51877 



N.CS. 



51902 
51927 
51952 
51977 
52002 
52026 
52051 
52076 
52101 
52126 
52151 
52175 
52200 
52225 
52250 
52275 
52299 
52324 
52349 
52374 
52399 
52423 
52448 
52473 
52498 
52522 
52547 
52572 
52597 
52621 



85476 
85461 
85446 
85431 
85416 
85401 
85385 
85370 
85355 
85340 
85325 
85310 
85294 
85279 
85264 



52646 
52671 
52696 
52720 
52745 
52770 
52794 
52819 
52844 
52869 
52893 
52918 



85717 
85702 
85687 
85672 
85657 
85642 
85627 
85612 
85597 
85582 
85567 
85551 
85536 
85521 
85506 
85491 



32. Deg. 



85249 
85234 
85218 
85203 
85188 
85173 
85157 
85142 
85127 
85112 
85096 
85081 
85066 
85051 
85035 



85020 
85005 
84989 
84974 
84959 
84943 
84928 
84913 
84897 
84882 
84866 
84851 



52943 84836 

529678482 

N.CS. I N.S. 

58 Deg. 



52992 
53017 
53041 
53066 
53091 
53115 
53140 
53164 
53189 
53214 
5323S 
53263 
53288 
53312 
53337 
53361 



53386 
53411 
53435 
53460 
53484 
53509 
53534 
53558 
53583 
.53607 



53656 
53681 
53705 
53730 



53754 
53779 
53804 
53828 
53853 
.53877 
53902 
.53926 
53951 
53975 
54000 
54024 
54049 
54073 
54097 



54122 
5414C 
54171 
54195 
54220 
54244 
54269 
54293 
54317 
54342 
54366 



N.CS . 
84805 
84789 
84774 
84759 
84743 
84728 
84712 
84697 
84681 
84666 
84650 
84635 
84619 
84604 
84588 
84573 



33 Deg. 



84557 
84542 
84526 
84511 
84495 
84480 
84464 
84448 
84433 
84417 
84402 
84386 
84370 
84355 
84339 



S4324 



84293 
84277 
84281 
84245 
84230 
84214 
84198 
84182 
84167 
84151 
84135 
84120 
84104 



84088 
84072 
84057 
84041 
84025 
84009 
83994 
83978 
83962 
83946 
83930 



54391183915 

5441583899 

.54440 83883 

N. CS. I N. S. 

57 Deg. 



54464 
54488 
54513 
54537 
54561 
54586 
54610 
54635 
54659 
54683 
54708 
54732 
.54756 
54781 
54805 
54829 
54854 
54878 
54902 
54927 
54951 
54975 
54999 
5024 
55048 
55072 
55097 
55121 
55145 
.55-169 
55194 



N.( 



83851] 
83835: 
8.3819; 
83804' 
83788 
83772 
83756 
83740 
837241 
83708! 
8.3692| 
83676 
836601 
83645 
83629 



55218 
55242 
55266 
5.5291 
55315 
55339 
55363 
5.5388 
5.5412 
55436 
55460 
55484 
55509 
55533 
55557 



-55.581 
5,5605 
,55630 
55654 
55678 
55702 
55726 
55750 
55775 
.55799 
55823 
55847 
5.5871 
55895 
N. CS. 



83613 

83597 

83581 

83565 

8354.9 

835.33 

83517 

83501 

83485 

83469 

83453 

83437 

8342 

83405 

83389 



34 Deg. 



N.S 



83373 

83356 
83340 
83324 
83308 
83292 
83276 
83260 
83244 
83228 
83212 
83195 
83179 
83163 
83147 



83131 
83115 
83098 
83082 
83066 
83050 
83034 
8.3017 
83001 
82985 
82969 
82953 
82936 
82920 



55919 
55943 
55968 
5.§992 
56016 
56040 
56064 
56088 
56112 
56136 
50160 
56184 
56208 
56232 
6256 
56280 



56305 
56329 
56353 
56377 
56401 
56425 
56449 
56473 
56497 
56521 
56545 
56569 
56593 
56617 
.56641 
.5'6665 
56689 
56713 
56736 
56760 
56784 
56808 
56832 
56856 
56880 
56904 
.56928 
56952 
56976 
57000 



N.C 



82904 
82887 
82871 
82855 
82839 
82822 
82806 
82790 
82773 
82757 
82741 
82724 
82708 
82692 
82675 



N.S. 



56 Deg. 



57024 
57047 
57071 
57095 
57119 
57143 
57167 
57191 
57215 
57238 
57262 
57286 
57310 
57334 



82643 
82626 
82610 
82593 
82577 
82561 
82544 
82528 
82511 
82495 
82478 
82462 
82446 
82429 
82413 



82396 
82380 
82363 

82347 
82330 
82314 
82297 

1 

82248 
82231 
82214 
82198 
8218] 
82165 



N.CS. 



S2148 
82132 
82115 
82098 
82082 
82065 
82048 
82032 
82015 
81999 
81982 
81965 
81949 
81932 
N.S. 



55 Deg. 



A TABLB Of NAtTJBAL S»HS. 




100 



A TABLE OF NATURAL SINES. 




TABLE OF NATURAL TANGENTS. 



101 






Degrees. 


1 Degree. 


2 Degrees. 


3 Degrees. 


„ 


N. Tan. 


N. Cot. 


N.Tan. 


N. Col. 


N.Tan. 


N. Cot. 


N.Tan 


N. Cot. 


00000 


0000-00 


01746 


57 


2900 


03492 


28 


6363 


05241 


19-0811 


60 


1 


00029 


3437-75 


01775 


56 


3506 


03521 


28 


3994 


05270 


18-9755 


59 


2 


00058 


1718-87 


01804 


55 


4415 


03550 


28 


1664 


05299 


18-8711 


58 


3 


00087 


1145-92 


01833 


54 


5613 


03579 


27 


9372 


05328 


18-7678 


57 


4 


00116 


859-436 


01862 


53 


7086 


03609 


27 


7117 


05357 


18-6656 


56 


5 


00145 


687 > 549 


01891 


52 


8821 


03638 


27 


4899 


05387 


18-5645 


55 


6 


00175 


572-957 


01920 


52 


0807 


03667 


27 


2715 


05416 


18-4645 


54 


7 


00204 


491-106 


01949 


51 


3032 


03696 


27 


0566 


05445 


18-3655 


53 


8 


00233 


429-718 


01978 


50 


5485 


03725 


26 


8450 


05474 


18-2677 


52 


9 


00262 


381-971 


02007 


49 


8157 


03754 


26 


6367 


05503 


18-1708 


51 


10 


00291 


343-774 


02036 


49 


1039 


03783 


26 


4316 


05533 


18-0750 


50 


11 


00320 


312-521 


02066 


48 


4121 


03812 


26 


2296 


05562 


17-9801 


49 


12 


00349 


286-478 


02095 


47 


7395 


03842 


26 


0307 


05591 


17-8863 


48 


13 


00378 


264-441 


02124 


47 


0853 


03871 


25 


8348 


05620 


17-7934 


47 


14 


00407 


245-552 


02153 


46 


4489 


03900 


25 


6418 


05649 


17-7015 


46 


15 


00436 


2-29 - 182 


02182 


45 


8294 


03929 


25 


4517 


05678 


17-6106 


45 
4? 


00465 


214-858 


02211 


45 


2261 


03958 


25 


2644 


05708 


17-5205 


17 


00495 


202-219 


02240 


44 


6386 


03987 


25 


0798 


05737 


17-4314 


43 


18 


00524 


190-984 


02269 


44 


0661 


04016 


24 


8978 


05766 


17-3432 


42 


19 


00553 


180-932 


02298 


43 


5081 


04046 


24 


7185 


05795 


17-2558 


41 


20 


00582 


171-885 


02328 


42 


9641 


04075 


24 


5418 


05824 


17-1693 


40 


21 


00611 


163-700 


0-2357 


42 


4335 


04104 


24 


3675 


05854 


17-0837 


39 


22 


00640 


156-259 


02386 


41 


91.58 


04133 


24 


1957 


0.5883 


16-9990 


38 


23 


00669 


149-465 


02415 


41 


4106 


04162 


24 


0263 


05912 


16-9150 


37 


24 


00698 


143-237 


02444 


40 


9174 


04191 


23 


8593 


05941 


16-8319 


36 


25 


00727 


137-507 


02473 


40 


4358 


04220 


23 


6945 


05970 


16-7496 


35 


26 


00756 


132-219 


02502 


39 


9655 


04250 


23 


5321 


05999 


16-6681 


34 


27 


00785 


127-321 


02531 


39 


5059 


04279 


23 


3718 


06029 


16-5874 


33 


28 


00814 


122-774 


02560 


39 


0568 


04308 


23 


2137 


06058 


16-5075 


32 


29 


00&44 


118-540 


02589 


38 


6177 


04337 


23 


0577 


060&7 


16-4283 


31 


30 


00873 


114-589 
110-892 


02619 


38 


1885 


04366 


22 


9037 


06116 


16-3499 


30 
29 


00902 


02648 


37 


7686 


04395 


22 


7518 


06145 


1 6 - 2722 


32 


00931 


107-426 


02677 


37 


3579 


04424 


22 


6020 


06175 


16-1952 


28 


33 


00960 


104-171 


02706 


36 


9560 


04454 


22 


4541 


06204 


16-1190 


27 


34 


00989 


101-107 


02735 


36 


5627 


04483 


22 


3081 


06233 


16-0435 


26 


35 


01018 


98-2179 


02764 


36 


1776 


04512 


22 


1640 


06262 


15-9687 


25 


36 


01047 


95-4895 


02793 


35 


8006 


04541 


22 


0217 


06291 


15-8945 


24 


3?- 


01076 


92-9085 


02822 


35 


4313 


04570 


21 


8813 


06321 


15-8211 


23 


38 


01105 


90-4633 


02851 


35 


0695 


04599 


21 


7426 


06350 


15-7483 


22 


39 


01135 


88-1436 


02881 


34 


7151 


046-28 


21 


6056 


06379 


15-6762 


21 


40 


01164 


85-9398 


02910 


34 


3678 


04658 


21 


4704 


06408 


15-6048 


20 


41 


01193 


83-8435 


02939 


34 


0273 


04687 


21 


3369 


06437 


15-5340 


19 


42 


01222 


81-8-170 


02968 


33 


6935 


04716 


21 


2049 


06467 


15-4638 


18 


43 


01251 


79-9434 


02997 


33 


3662 


04745 


21 


0747 


06496 


15-3943117 1 


44 


01280 


78-1263 


03026 


33 


0452 


04774 


20 


9460 


06525 


15- 3-254! 16 1 


45 
46 


01309 


76-3900 


03055 


32 


7303 


04803 


20 


8188 


06554 


15-2571 


15 
14 


01338 


74-7292 


03084 


32 


4213 


04832 


"20" 


6932 


06584 


15-1893 


47 


01367 


73-1390 


03114 


32 


1181 


04862 


20 


5691 


06613 


15-1222 


13 


48 


01396 


71-6151 


03143 


31 


8205 


04891 


20 


4465 


06642 


15-0557 


12 


49 


01425 


70-1533 


03172 


31 


5284 


04920 


20 


3253 


06671 


14-9893 


11 


50 


01455 


68-7501 


03201 


31 


2416 


04949 


20 


2056 


06700 


14-9244 


10 


51 


01484 


67-4019 


03230 


30 


9599 


04978 


20 


0872 


06730 


14-8596 


9 


52 


01513 


66-1055 


03259 


30 


6833 


05007 


19 


9702 


06759 


14-7954 


8 


53 


01542 


64-8580 


03288 


30 


4116 


05037 


19 


8546 


06788 


14-7317 


7 


54 


01571 


63-6567 


03317 


30 


1446 


05066 


19 


7403 


06817 


14-6685 


6 


55 


01600 


62-4992 


03346 


29 


8823 


05095 


19 


6273 


06847 


14-6059 


5 


56 


01629 


61-3829 


03876 


29 


6245 


05124 


19 


5156 


06876 


14-5438 


4 


57 


01658 


60-3058 


03405 


29 


3711 


05153 


19 


4051 


06905 


14-4823 


3 


58 


01687 


59-2659 


03434 


29 


1220 


05182 


19 


2959 


06934 


14-4212 


2 


59 


01716 


58-2612 


03463 


28 


8771 


05212 


19 


1879 


06963 


14-3607 


1 


60 
M 


01746 


57-2900 


03492 


28 


6363 


05241 


19 


0811 


06993 


14-3007 





N. Cot. 


N. Tan. 


N. Cot. 


N. Tan. 


N. Cot 


N. Tan. 


N. Cot. 


N.Tan. 1 Ml 


89 D 


egrees. 


88 Degrees. 


87 D 




86 D 


agrees. 1 | 



102 



TABLE OF NATURAL TAIVGENTS. 





4 Degrees. | 


5 Degrees. | 


■ 6De 


grees. 


7 Degrees. 


M 1 


M 


?*.Tan. 


N. Cot,. 
14-3007 


N.Tan. 


N. Cot. 


N.Tan. 


N. Cot. 
9-51436 


N. Tan. 


N. Cot. 


01 06993 


08749 


11-4301 


10510 


12278 


8-14435 


60 i 


1 


07022 


14-2411 


03778 


11-3919 


10540 


9 


48781 


12.308 


8 


124S1 


59 1 


2 


07051 


14-1821 


08807 


11-3540 


10569 


9 


46141 


12338 


8 


10536 


58 1 




07080 


14-1235 


08837 


11-3163 


10599 


9 


43515 


12367 


8 


08600 


57 i 


4 


07110 


14-0655 


08866 


11-2789 


10628 


9 


40904 


12397 


8 


06674!56 1 


5 


07139 


14-0079 


08895 


11-2417 


10657 


9 


38307 


12426 


8 


04756155 1 


6 


07168 


13-9507 


08925 


11-2048 


10687 


9 


35724 


12456 


8 


02848 54 1 


7 


07197 


13-8940 


089.54 


11-1681 


10716 


9 


33154 


12485 


8 


00948153 1 


8 


07227 


13-8378 


08983 


11-1316 


1C746 


9 


30599 


12515 


7 


99058152 1 


9 


07256 


13-7821 


09013 


11-0954 


10775 


9 


28058 


12544 


7 


95302:50 1 


10 


07285 


13-7267 


09042 


11-0594 


10805 


9 


25.530 


12574 


7 


11 


07314 


13-6719 


09071 


11-0237 


10834 


9 


23016 


12603 


7 


93438 


49 1 


12 


07344 


13-6174 


09101 


10-9881 


10863 


9 


20566 


12633 


' 7 


91582 




13 


07373 


13-5634 


09130 


10-9.52S 


10893 


9 


18028 


12-602 


7 


89734 


f~ 


14 


07402 


13-5098 


09159 


10-917S 


10922 


9 


15554 


12092 


7 


87895 


46 


15 


07431 


13-4566 


09189 


10-8829 


10952 


9 


13093 


12722 


7 


86064 




"Hi 


07461 


13-4039 


09218 


io-S4t;? 


10981 


9 


10640 


12751 


~ 


84242 


44' 


17 


07490 


13-3515 


09247 


10-8109 


11011 


s 


08211 


12781 


7 


82428 


43 


18 


07519 


13-2996 


09277 


10-7797 


11040 


9 


05789 


12810 


7 


80622 


42 


19 


07548 


13-2480 


09300 


10-7457 


11070 


n 


03379 


12840 


7 


78825 


^1 


20 


07578 


13-1969 


09335 


10-7119 


11099 


9 


00983 


12869 


7 


77035 


40 


21 


07607 


13-1461 


09305 


10-07S3 


11128 


8 


98598 


12899 


7 


75254' 39 1 


23 


07636 


13-0958 


09394 


10.6450 


11158 


8 


96227 


12929 


7 


73480 38 


23 


07665 


13-0458 


09423 


10-6118 


11187 


8 


938C7 


12958 


7 


71715|37 


24 


07695 


12-9962 


09453 


10-5789 


11217 


8 


91520 


12988 


7 


69957] 36 


25 


07724 


12-9469 


09482 


10-5402 


11246 


8 


89185 


13017 


7 


68208 35 


26 


07753 


12- 8'^Sl 


09511 


10-5130 


11276 


8 


86862 


13047 


7 


66466134 


27 


07782 


12-54 90 


09541 


10-4813 


11305 


s 


84551 


13076 


7 


6473233 


28 


07812 


12-8014 


09570 


10-4491 


11335 


8 


82252 


13106 


7 


63005J32 1 


29 


07841 


12-7536 


C9oro 


10-4172 


11364 


8 


79904 


13136 


7 


61287131 6 


30 

"si 


07870 


12-706'.? 


09659 


10-3854 


11394 


8 

T 


77639 
7 5425 


13165 




59575:30 1 


07899 


12-6591 


09658 


10-353t; 


11423 


13195 


~7 


57872 


29 y 


32 


07929 


12-6124 


096SS 


10-3224 


114.52 


8 


73172 


13224 


7 


56176 28 1 


33 


07958 


12-5660 


09717 


10-2913 


11482 


8 


70931 


13254 


7 


54487; 27 fe 


34 


07987 


12-5199 


09746 


10-2602 


11511 


8 


68701 


13284 




.52806 26 1 


35 


08017 


12-4742 


09776 


10-229-^ 


11541 


8 


66482 


13313 


r. 


51132 25 5 


36 


08046 


12-4288 


09805 


10-1988 


11570 


8 


64275 


1.3343 


I 


49465 24 | 


37 


08075 


12-3838 


09834 


10-1683 


11600 


8 


62078 


13372 




47806 23 1 


38 


08104 


12-3390 


09864 


10-1381 


11629 


8 


59893 


13402 


7 


40154 22 F 


39 


08134 


12-2946 


09893 


10-1080 


11659 


8 


57718 


13432 


7 


44509 21 


40 


03163 


12-2505 


09923 


10-0780 


1168S 


8 


55555 


13461 


7 


4£87l|20 1 


41 


08192 


12-2067 


09952 


10-0483 


11718 


8 


53402 


13491 


7 


41240 19 1 


42 


08221 


12-1632 


09981 


10-0187 


11747 


8 


51259 


13.521 


7 


39616!l8 1 


43 


08251 


12-1201 


10011 


9-98930 


11777 


8 


49128 


135.50 


7 


37999J17 1 


44 


08280 


12-0772 


10040 


9-96007 


11806 


8 


47007 


135S0 


7 


36389! 16 i 


45 
"46 


08309 


12-0346 


10069 


9-93101 


11836 


8 


44896 


13609 


7 


34786 


15 


08339 


11-9923 


10099 


9-90211 


11865 


T 


42795 


13639 


■y 


33190!l4 i 


47 


08368 


11-9504 


1012S 


9-873.38 


11895 


8 


40705 


13669 




31600 13 1 


48 


08397 


11-9087 


10158 


9-84482 


11924 


8 


38625 


13698 


7 


30018! 12 P 


49 


08427 


11-8073 


10187 


9-81041 


11954 


8 


36555 


13728 


7 


28442J11 J 


50 


08456 


11-8262 


10216 


9-78817 


11933 


8 


34496 


13758 


7 


26873110 1 


51 


08485 


11-7853 


10246 


9-76009 


12013 


8 


32446 


13787 


7 


253101 9 i 


52 


08514 


11-7448 


10275 


1 9-73217 


12042 


8 


30406 


13817 




23754 


3 


53 


08544 


11-7045 


10305 


9-70441 


12072 


8 


28376 


13846 


7 


22204 


7 


54 


08573 


11-6645 


10334 


j 9-67680 


12101 


8 


26355 


13876 


7 


20661 


6 


55 


08602 


11-6248 


10363 


9-64935 


12131 


8 


24345 


13906 


7 


19125 


5 


56 


08632 


11-5353 


10393 


1 9-62205 


12160 


8 


22344 


13935 


7 


17594 


4 


67 


08661 


11-5461 


10422 


i 9-59490 


12190 


8 


20352 


13965 


7 


16071 


3 


1 58 


08690 


1 1 • 5072 


10452 


i 9-56791 


12219 


8 


18370 


1 13995 


7 


14553 


2 


, 59 

en 


08720 


11-4685 


1 10481 


i 9-54106 


12249 


g 


16398 


14024 


r 


1-30421 1 i 


08749 


11-4301 


10510 


1 9-5J43S 


12278 

In. Cot. 


8-14435 
N. Tan. 


14054 
N. Cot. 


7- 11537; 1 


M 


N. Cot. 


1 N.Tan. 


N. Cot 


1 N.Tan. 


N. Tan. 


1 




85 1] 


agrees. 


rwt 


egrees. 


83 D 


eg 


"ees. 


1 82 D 


eg 


-ees. 



TABLE OF NATURAL TANGENTS. 



103 



<maa 


8 Degrees. 


1 9 Degrees. 


10 Degrees. 


11 Degrees. 


M 


M 


N.Tau.; N.Cot. 


N.Tan. 


N. Cot. 


N.Tan. 


N. Cot. 


N. Tan. 


N. Cot. 





140541 7-11037 


15838 


6-31375 


17633 


5-67128 


19438 


5-14455 


60 


li U084| 7 


10038 


15868 


6 


30189 


17663 


5-66165 


1946S 


5- 13658159 3 


2* 141131 7 


08546 


15898 


6 


29007 


17693 


5-65205 


19498 


5-I2862I58 1 


2' 14143! 7 


07059 


15928 


6 


27829 


17723 


5-64248 


19529 


5-12069 


57 


4 14173 7 


05579 


15958 


6 


26655 


17753 


5-63295 


19559 


5-11279 


56 


5: 11::02 7 


04105 


15988 


6 


25486 


17783 


5-62344 


19589 


5-10490 


55 


6 14202 7 


02637 


16017 


6 


24321 


17813 


5-61397 


19619 


5-09704 


54 


7 14262 


7 


01174 


16047 


6 


23160 


17843 


5-60452 


19649 


5-08921 


53 


a] 14291 


6 


99718 


16077 


6 


22003 


17873 


5-59511 


19680 


5-08139 


52 


9i 14321 


6 


98268 


16107 


6 


20831 


17903 


5-58573 


19710 


5-07360 


51 t 


10 14351 


6 


96823 


16137 


6 


19703 


17933 


5-57638 


19740 


5-06584 


50 


11 


14381 


6 


95385 


16167 


6 


18559 


17963 


5-56706 


19770 


5-05809 


49 


12 


14410 


6 


93952 


16196 


6 


17419 


17993 


5-55777 


19801 


5-05037 


48 


13 


14440 


6 


92525 


16226 


6 


16283 


18023 


5-54851 


19831 


5-04267 


47 


14 


14470 


6 


91104 


16256 


6 


15151 


18053 


5-53927 


19861 


5-03499 


46 


15 
16 


14499 


6 
6 


85688 

"88278 


16286 


6 


14023 


18083 


5-53007 


19891 


5-02734 


45 


14529 


16316 


6 


12899 


18113 


5-52090 


19921 


5-01971 


17 


14559 


6 


86874 


16346 


6 


11779 


18143 


5-51176 


19952 


5-01210 


43 


18 
19 


1458S 


6 


85475 


16376 


6 


10664 


18173 


5-50264 


19982 


5-00451 


42 


14618 


6 


84082 


16405 


6 


09552 


18-203 


5-49356 


20012 


4-99695 


41 


20 


14648 


6 


32694 


16435 


6 


08444 


18-233 


5-48451 


20042 


4-98940 


40 


21 


14678 


6 


81312 


1-6465 


6 


07340 


18263 


5-47548 


20073 


4-98188 


39 


22 


14707 


6 


79936 


16495 


g 


06240 


18293 


5-46648 


20103 


4-97438 


38 


23 


14737 


6 


78564 


16525 


6 


05143 


18323 


5-45751 


20133 


4-96690 


37 


24 


14767 


C 


77199 


.16555 


6 


04051 


18353 


5-44857 


20164 


4-95945 


36 


25 
26 


14796 


6 


7583S 


16585 


6 


02962 


18383 


5-43#66 


20194 


4-95201 


35 


14826 


6 


74483 


16615 


6 


01878 


18414 


5-43077 


20224 


4-94460 


34 


27 


14856 


(5 


73133 


16645 


6 


00797 


18444 


5-42192 


20254 


4-93721 


33 


28 


14886 


6 


71789 


16674 


5 


99720 


18474 


5-41309 


20285 


4-92984 


32 


29 


14915 


6 


70450 


16704 


5 


98646 


18504 


5-40429 


20315 


4-92249 


31 


30 
"31 


14945 


6 


69116 


16734 


5 


97576 


18534 


5-39552 


20345 


4-91516 


30 

29 


14975 


6 


67787 


16764 


T 


96510 


18564 


5-38677 


20376 


4-90785 


32 


15005 


6 


66463 


16794 


5 


95448 


18594 


5-37805 


20406 


4-90056 


28 


33 


15034 


6 


65144 


16824 


5 


94390 


18624 


5-36936 


20436 


4-89330 


27 


34 


15064 


6 


63831 


16854 


5 


93335 


18654 


5-36070 


20466 


4-88605 


26 


35 


15094 


6 


62523 


16884 


5 


92283 


18684 


5-35206 


20497 


4-87882 


25 


36 


15124 


6 


61219 


16914 


5 


91235 


18714 


5-34.345 


20527 


4-87162 


24 




15153 


6 


59921 


16944 


5 


90191 


18745 


5-33487 


20557 


4-86444 


23 


38 


15183 


6 


.58627 


16974 


5 


89151 


18775 


5-32631 


20588 


4-85727 


22 


39 


15213 


6 


57339 


17004 


5 


88114 


18805 


5-31778 


20618 


4-85013 


21 


40 


15243 


6 


56055 


17033 


5 


87080 


18835 


5-30928 


20648 


4-84300 


20 


41 


15272 


6 


54777 


17063 


5 


86051 


18865 


5-30080 


20679 


4-83590 


19 


42 


15302 


6 


53503 


17093 


5 


85024 


18895 


5-29235 


20709 


4-82882 


18 


43 


15332 


6 


52234 


17123 


5 


84001 


18925 


5-28393 


20739 


4-82175 


17 


44 


15362 


6 


50970 


17153 


5 


82982 


18955 


5-27553 


20770 


4-81471 


16 


45 


15391 


6 


49710 


17183 
17213 


5 


81966 


18986 


5-26715 


20800 


4-80769 


15 
14 


46 


15421 


~G 


IsTse 


T 


80953 


19016 


5-2.5880 


20830 


4-80068 


47 


15451 


6 


47206 


17243 


5 


79944 


19046 


5-25048 


20861 


4-79370 


13 


48 


15481 


6 


45961 


17273 


5 


78938 


19076 


5-24218 


20891 


4-78673 


12 


49 


15511 


6 


44720 


17303 


5 


77936 


19106 


5-23391 


20921 


4-77978 


11 


50 


15540 


6 


43484 


17333 


5 


76937 


19136 


5-2256G 


20952 


4-77286 


10 


51 


15570 


6 


42253 


17363 


5 


75941 


19166 


5-21744 


20982 


4-76595 


9 


52 


15600 


6 


41026 


17393 


5 


74949 


19197 


5-20925 


21013 


4-75906 


8 


53 


15630 


6 


39804 


17423 


5 


73^60 


19227 


5-20107 


21043 


4-75219 


7 


54 


15660 


6 


38587 


17453 


5 


72974 


19257 


5-19293 


21073 


4-74534 


6 


55 


15689 


6 


37374 


17483 


5 


71992 


19287 


5-18480 


21104 


4-73851 


5 


56 


_ 15719 


6 


36165 


17513 


5 


71013 


19317 


5-17671 


21134 


4-73170 


4 


57 


15749 


6 


34961 


1 7 543 


5 


70037 


19347 


5-16863 


21164 


4-72490 


3 


58 


15779 


6 


33761 


17573 


5 


69064 


19378 


5-16058 


21195 


4-71813 


2 


59 


1.5809 


6 


32566 


17603 


5 


68094 


19408 


5-15256 


21225 


4-71137 


1 


60 
M 


15838 


6 


31375 


17633 


5 


67128 


19438 


5-14455 


21256 


4-70463 





N. Cot. 


"N 


Tan. 


N. Cot. 


N. Tan. 


N. Cot 


N. Tan. 


N. Cot. 


N. Tan. 


M 


SlDegreesT 


80 Degrees. 


79 D 


egrees. 


78 Degrees. 



104 



TABLE OF NATURAL TANGENTS. 



M 



12 Degrees. | 


13 Degrees. | 


14 Degrees. | 


15 Degrees. | 


M 




N. Tan. 


N. Tan. 


N. Tan. 


N. Cot. 


N. Tan. 


N. Cot. 


N. fan. 


N. Cot. 




21256 


4-70463 


23087 


4-33148 


24933 


4-01078 


26795 


3-73205 


60 




1 


21286 


4-69791 


23117 




32573 


24964 


4-00582 


26826 


3-7-2771 


59 




2 


21316 


4-69121 


23148 




32001 


24995 


4-00086 


26857 


3-72338 


58 




3 


21347 


4-63452 


23179 




31430 


25026 


3-99592 


26888 


3-71907 


57 




4 


21377 


4-67786 


23209 




30860 


25056 


3-99099 


26920 


3-71476 


56 




5 


21408 


4-67121 


23240 




30291 


25087 


3-98607 


26951 


3-71046 


55 




6 


21438 


4-66458 


23271 




29724 


25118 


3-98117 


26982 


3-70616 


54 




7 


21469 


4-65797 


23301 




29159 


25149 


3-97627 


27013 


3-70188 


53 




8 


21499 


4-65138 


23332 




28595 


25180 


3-97139 


27044 


3-69761 


52 




9 


21529 


4-64480 


23363 




28032 


25211 


3-96651 


27076 


3-69335 


51 




10 


21560 


4-63825 


23393 




27471 


25242 


3-96165 


27107 


3-68909 


50 




11 


21590 


4-63171 


23424 




26911 


25273 


3-95680 


27138 


3-68485 


49 




12 


21621 


4-62518 


23455 




26352 


25304 


3-95196 


27169 


3-68061 


48 




13 


21651 


4-61868 


23484 




25795 


25335 


3-94713 


27201 


3-67638 


47 




14 


21682 


4-61219 


23516i 4 


25239 


25366 


3-94232 


27232 


3-67217 


46 




15 


21712 


4-60572 


23547 




24685 


25397 


3-93751 


27263 


3-66796 


45 




16 


21743 


4-59927 


23578 


4 


24132 


25428 


3-93271 


27294 


3-66376 


iT 




17 


21773 


4-59283 


23608 




23580 


25459 


3-92793 


27326 


3-65957 


43 




18 


21804 


4-58641 


23639 




23030 


25490 


3-92316 


27357 


3-65538 


42 




19 


21834 


4-58001 


23670 




22481 


25521 


3-91839 


27388 


3-65121 


41 




20 


21864 


4-57363 


23700 




21933 


25552 


3-91364 


27419 


3-64705 


40 




21 


21895 


4-56726 


23731 




21387 


25583 


3-90890 


27451 


3-64289 


39 




22 


21925 


4-56091 


23762 




20842 


25614 


3-90417 


27482 


3-63874 


38 




23 


21956 


4-55458 


23793 




20298 


25645 


3-89945 


27513 


3-63461 


37 




24 


21986 


4-54826 


23823 




19756 


25676 


3-89474 


27545 


3-63048 


36 




25 


22017 


4-54196 


23854 




19215 


25707 


3-89004 


27576 


3-62636 


35 




26 


22047 


4-53568 


23885 




18675 


25738 


3-88536 


27607 


3-62224 


34 




27 


22078 


4-529il 


23916 




18137 


25769 


3-88068 


27638 


3-61814 


33 




28 


22108 


4-52316 


23946 




17600 


25800 


3-87601 


27670 


3-61405 


32 




29 


22139 


4-51693 


23977 




17064 


25S31 


3-87136 


27701 


3-60996 


31 




30 
31 


22169 


4-51071 


24008 




16530 


25862 


3-86671 


27732 


3-60588 


30 




22200 


4-50451 


24039 




15997 


25893 


3-86208 


27764 


3-60181 


29 




32 


22231 


4-49832 


24069 


4 


15465 


25924 


3-85745 


27795 


3-59775 


28 




33 


22261 


4-49215 


24100 




14934 


25955 


3-85284 


27826 


3-59370 


27 




34 


22292 


4-48600 


24131 




14405 


25986 


3-84824 


27858 


3-58966 


26 




35 


22322 


4-47986 


24162 




13877 


26017 


3-84364 


27889 


3-58562 


25 




36 


22353 


4-47374 


24193 




13350 


26048 


3-83904 


27920 


3-58160 


24 




37 


22383 


4-46764 


24223 




12825 


26079 


3-83449 


27952 


3-57758 


23 




38 


22414 


4-46155 


24254 




12301 


26110 


3-82992 


27983 


3-57357 


22 




39 


22444 


4-45543 


24285 




11778 


26141 


3-82537 


28015 


3-56957 


21 




40 


22475 


4-44942 


24316 




11256 


26172 


3-82083 


28046 


3-56557 


20 




41 


22505 


4-44338 


24347 




10736 


26203 


3-81630 


28077 


3-56159 


19 


42 


22536 


4-43735 


24377 




10216 


26235 


3-81177 


28109 


3-55761 


18 


43 


22567 


4-43134 


24408 




09699 


26266 


3-80726 


28140 


3-55364 


17 


44 


22597 


4-42534 


24439 




09182 


26297 


3-80276 


28172 


3-54968 


16 


45 
46 


22628 


4-41936 


24470 




08666 


26328 


3-79827 
3-79378 


28203 


3-54573 


15 




22658 


4-41340 


24501 




08152 


26359 


28234 


3-54179 


14 




47 


22689 


4-40745 


24532 




07639 


26390 


3-78931 


28266 


3-53785 


13 




48 


22719 


4-40152 


24562 




07127 


26421 


3-78485 


28297 


3-53393 


12 




49 


22750 


4-39560 


24593 




'06616 


26452 


3-78040 


28329 


3-53001 


11 




50 


22781 


4-38969 


24624 




06107 


26483 


3-77595 


28360 


3-52609 


10 




51 


22811 


4-38381 


24655 




-05599 


26515 


3-77152 


28391 


3-52219 


9 




52 


22842 


4-37793 


24686 


4 


-05092 


26546 


3-76709 


28423 


3-51829 


8 




53 


22872 


4-37207 


24717 


1 4 


-04586 


26577 


3-76268 


28454 


3-51441 


7 




54 


22903 


4-36623 


24747 


1 4 


■04081 


26608 


3-75828 


28486 


3-51053 


6 




55 


22034 


4-36040 


24778| 4 


-03578 


26639 


3-75388 


28517 


3-50666 


5 




56 


22964 


4-35459 


248091 4 


-03075 


26670 


3 -74950 


28549 


3-50279 


4 




57 


22995 


4-34879 


24840 4 


- 02574 


26701 


3-74512 


28580 


3-49894 


3 




58 


23026 


4-34300 


24871 ! 4 


•02074 


26733 


3-74075 


28612 


3-49509 


2 




59 


23056 


4-33723 


24902: 4 


•01576 


26764 


3-73644 


28643 


3-49125 


1 




60 
M 


23087 


4-33148 


24933 4-01078 


26795 


3-73205 


28675 


3-48741 







N. Cot. 


N. Cot. 


N. Cot. N.Tan. 


N. Cot. 


N. Tan. 


N. Cot. 1 N. Tan. 




77 Degrees. 


76 Degrees. 


75 Degrees. 


74 Degrees. 





TABLE OF NATURAL TANGENTS. 



105 



M 



16 Degrees. j( 17 Degrees. 


18 Degrees. 


19 Degrees. 


M 


N. Tan. 


N. (;ot. liN.Tan. 


N. Cot. 


N.Tan ! N. Cot. 


N.Tan. 


N. Cot. 


28675 


3-48741 


30573 


3-27085 


32492] 3-07 768 


34433 


2-90421 


60 


1 


28706 


3 


48359 


30605 


3 


26745 


32524] 3 


07464 


34465 


2-90147 


59 


2 


28738 


3 


47977 


30637 


3 


26406 


32556; 3 


07160 


34498 


2-89873 


58 


3 


28769 


3 


47596 


30669 


3 


26067 


32588 3 


00857 


34530 


2-89600 


57 


4 


28800 


3 


47216 


30700 


3 


25729 


32621 1 3 


06654 


34563 


2-89327 


56 


5 


28832 


3 


46837, 


30732 


3 


25392 


326531 3 


06252 


34596 


2-89055 


55 


6 


23864 


3 


46458 


30764 


3 


25055 


32685 3 


05950 


34628 


2-88783 


54 




28895 


3 


46080 


30796 


3 


24719 


32717 


3 


05649 


34051 


2-88511 


53 


8 


28927 


3 


45703 


30828 


3 


24383 


32749 


3 


05349 


34693 


2-88240 


52 


9 


28958 


3 


45327 


30860 


3 


24049 


32782 


3 


05049 


34726 


2-87970 


51 1 


10 


28990 


3 


44951 


30891 


3 


23714 


32814 


3 


04749 


34758 


2-87700 


50 ; 


l^ 


29021 


3 


44576 


30923 


a 


23381 


32846 


3 


04450 


34791 


2-87430 


49 


12 


29053 


3 


44202 


30955 


3 


23048 


32878 


3 


04 152 


34824 


2-87161 


48 


13 


29084 


3 


43829 


30987 


3 


22715 


32911) 3 


03854 


34856 


2-86892 


47 


14 


29116 


3 


43456 


31019 


3 


22384 


32943 


3 


03556 


348S9 


2-86624 


46 


15 
16 


29147 


3 


43084 


31051 


3 


22053 


32975 


3 


0.326O 


34922 


2-86356 


45 


29179 


3 


42713 


31083 


3 


21722 


33007 


3 


02963 


34954 


2-86089 


4? 


ir 


29210 


3 


42343 


31115 


,3 


21392 


33040 


3 


02667 


34987 


2-85822 


43 


18 


29242 


3 


41973' 


31147 




21063 


33072 


3 


02372 


35019 


2-85555 


42 


19 


29274 


3 


41004; 


31178 


3 


20734 


33104 


3 


02077 


35052 


2-852S9 


41 


20 


29303 


3 


41236 


31210 


3 


20406 


33136 


3 


01783 


35085 


2-85023 


40 


21 


29337 


3 


40869 


31242 


3 


20079 


33169 


3 


01489 


35117 


2-847D8 


39 


22 


29363 


.3 


40502' 


31274 


3 


19752 


33201 


3 


01196 


35150 


2-84494 


38 


23 


29400 


.3 


40136; 


31306 


3 


19426 


33233 


3 


00903 


35183 


2-84229 


37 


24 


29432 


3 


39771; 


31338 


3 


19100 


33266 


3 


00611 


35216 


2-83965 


36 




29463 


3 


39406 


31370 


3 


18775 


33298 


3 


00319 


35248 


2-83702 


35 


26 


29495 


3 


39042' 


31402 


3 


18451 


3.3330 


3 


00028 


35281 


2-83439 


34 


27 


29526 


3 


38679 


31434 


3 


18127 


33363 


2 


99738 


33314 


2-83176 


33 




29558 


3 


383171 


31466 


3 


17804 


33395 


2 


99447 


33346 


2-82914 


32 


2S 


29590 


3 


37955 


31498 


3 


17481 


33427 


2 


99158 


35379 


2-82653 


31 


30 
31 


29621 


~li 


37594 
'37234 


31530 
31562 


3 


17159 


33460 


2 


98868 


35412 


2-82391 


30 
29' 


29653 


T 


1683S 


33492 


2 


98580 


35445 


2-82130 


;!2 


29685 


3 


36875 


31594 


3 


16517 


33524 




98292 


35477 


2-81870 


28 


r 33 


29716 


3 


36516 


31620 


3 


16197 


33557 


,5 


98004 


33510 


2-8161'0 


27 




29748 


3 


36158 


31658 


3 


15877 


33589„ 


2 


97717 


35543 


2-81350 


26 




29 780 


3 


35300 


31690 


3 


1,55.58 


33621 


2 


97430 


35576 


2-81091 


25 


3b 


39811 


?, 


35413 


32722 


3 


15240 


33634 


2 


97144 


35608 


2-80833 


24 




29a43| 3 


35087 


31754 


3 


14922 


336861 2 


968.58 


35641 


2-80574 


23 




293 75i 3 


34/32 


31786 


3 


14605 


33718, 2 


96573 


35674 


2-80316 


22 


39 


2990G 3 


3437 7 


3 13 J 8 


3 


14288 


33751! 2 


96288 


33707 


2-80059 


21 


I ■'1(1 


2993S| 3 


34023 


31850 


3 


139;2 


33783 


2 


96004 


35 740 


2-79802 


20 


1 '^^ 


299/ Oj 3 


33670 


31882 


3 


13656 


33816 


2 


95729 


35772 


2-79545 


19 




3U001 3 


33317 


31914 


3 


13341 


33848 


2 


95437 


35805 


2-79289 


18 


i -13 


30033 3 


-32965 


31946 


3 


13027 


33831 


2 


93155 


35838 


2-79033 


17 


1 ^"^ 


30065 3 


.32614 


3197S 


3 


12713 


33913 


2 


94872 


35871 


2-78778 


15 


I'li 


30097 3 

ToTisiT 


32264 
"31914 


32010 
32042 


3 
3 


12400 
12087 


33945 
33978 


2 


94590 


35904 


2-78523 


ii 


2 


94309 


35937 


2-78269 


14 


: 47 


30160] 3 


31555 


32074 


3 


11775 


34010 


2 


94028 


35969 


2-78014113 j 


j 48 


301921 3 


31216 


32106 


3 


11464 


34043 


2 


93743 


36002 


2-7776l|l2 


49 


3022-r 3 


30SGS 


32139 


3 


1 1 1 53 


3-10751 2 


93163 


■ 35035 


2 -775071 11 1 


s r,o 


302.-,.-, 1 .3 


30521 


32171 


3 


10842 


34108, 2 


93139 


36068 


2-77254 10 J 


51 


30287 3 


30174 


32203 


3 


10532 


34140i 2 


92910 


36101 


2-77GC2 9 , 
2-767.50 ^ ' 


52 


30319 3 


29829 


32235 


3 


10223 


34173 2 


92632 


36134 


53 


30351 1 3 


29483 


32267 


3 


09911 


342051 2 


92354 


36167 


2-76498 


7 


54 


30382 


3 


29139 


32299 


3 


99606 


34238 2 


92076 


36199 


2-76247 


6 


55 


30414 


3 




32331 


3 


09298 


34270 


2 


91799 


36232 


2-75996 


5 


56 


30446 


3 


28452 


32363 


3 


08991 


34303 


2 


91523 


36265 


2-75746 


4 


57 


30478 


3 


28109 


32396 


3 


08685 


34335 


2 


91246 


36298 


2-75496 


3 


58 


30509 


3 


27767 
27426 


32428 


3 


08379 


34368 


2 


90971 


36331 


2.76246 


2 


59 


30541 


3 


32460 


3 


08073 


34400 


2 


90696 


36364 


2-74997 


1 


60 


30573 


3 


27085 


32492 


3 


07768 


34433 


2 


90421 


36397 


2,-74748' j 


tl 


N. Cot. 


~N 


Tan. 


N. Cot. 


N 


Tan. 


N.Cot 


N.Taii. 


N. Cot. 


N. Tan. 


- 


72 Degrees. 


71 Degrees. 


70 Degrees. 


69 D 


sgrees. 


J 



106 



TABLE OF NATURAL TANGENTS. 





20 Degrees. \ 


21 Degrees. | 


22 Degrees. 


23 Degrees. 


■"" 


M 




N. Tan. 


N. Col. 


N.Tan. 


N. Cot. 


N. Tan. 


N. Cot. 


N.Tan. 


N. Cot. 


M 

60 


36397 


2-74748 


38386 


2-60509 


40403 


2-47509 


42447 


2-35585 


I 


36430 


2-74499 


384-20 


2-60283 


40436 


2-47302 


42482 


2-35395 


59 


2 


36463 


2-74251 


38453 


2-60057 


40470 


2-47095 


42516 


2-35205 


58 


3 


36496 


2-74004 


38487 


2-59831 


40504 


2-46888 


42551 


2-35015 


57 


4 


36529 


2-73756 


38520 


2-59606 


40538 2-466821 


42585 


2-34825 


56 


5 


365G2 


2-73509 


385-53 


2-59381 


40572 


2-46476 


42619 


2-34636 


55 


6 


36595 


2-73263 


38587 


2-59156 


40606 


2-46270 


42654 


2-34447 


54 


7 


36628 


2-73017 


38620 


2-58932 


40640 


2-46065 


42688 


2-34258 


53 


8 


36661 


2-72771 


38654 


2-58708 


40674 


2-45860 


42722 


2-34069 


52 


9 


36694 


2-72526 


38687 


2-58484 


40707 


2-45655. 


42757 


2-33881 


51 


10 


36727 


2-72281 


38721 


2-58261 


40741 


2-45451 


42791 


2-33693 


50 


11 


36760 


2-72036 


38754 


2-58038 


40775 


2-45246 


42826 


2-33.505 


49 


12 


36793 


2-71792 


38787 


2-57815 


40809 2-45043 


42860 


2-3-3317 




13 


36826 


2-71548 


38821 


2-575.93 


40843 


2-44839 


42894 


2-33130 


47 


14 


36859 


2-71305 


36854 


2-57371 


40877 


2-44636 


42929 


2-32943 


46 


15 
16 


36892 


2-71062 


38888 


2-57150 


40911 


2-44433 


42963 


3-32756 


45 

44~ 


36925 


2-70819 


38921 


2-56928 


40945| 2-44230 


42998 


2-32570 


ir 


36958 


2-70577 


38955 


2-56707 


40979 


2-44027 


43032 


2-32383 


43 


18 


36991 


2-70335 


38988 


2-56487 


41013 


2-43825 


43067 


2-32197 


42 


19 


37024 


2-70094 


39022 


2-56266 


41047 


2-43623 


43101 


2-32012 


41 


20 


37057 


2-69853 


39055 


2-56046 


41081 


2-43422 


43136 


2- 318-26 


40 


21 


37090 


2-69612 


39089 


2-55827 


41115 


2-43220 


43170 


2-31641 


39 


22 


37123 


2-69371 


39122 


2-55608 


41149 


2-43019 


43205 


2-31456 


38 


23 


37157 


2-69131 


39156 


2-55389 


41183 


2-42819 


43239 


2-31271 


37 


24 


37190 


2-68892 


39190 


2-55170 


41217 


2-42618 


43274 


2-31086 


36 


25 


37223 


2-68633 


39223 


2-54952 


41251 


2-42418 


43308 


2-30902 


35 


26 


37256 


2-68414 


392.57 


2-54734 


41285 


2-42218 


43343 


2-30718 


34 


27 


37289 


2-68175 


39290 


2-545J6 


41319 


2-42019 


43378 


2-30534 


33 


28 


37322 


2-67937 


39324 


2-54299 


41353 


2-41819 


43412 


2-30351 


32 


29 


37355 


2-67700 


39357 


2-54082 


41387 


2-41620 


43447 


2-30167 


31 


30 


37388 


2-67462 


39391 


2-53865 
2-53648 


41421 


2-41421 


43481 


2-29984 


30 


TT 


37422 


2-67225 


39425 


41455 


2-41223 


43516 


2-29801 


29 


32 


37455 


2-66989 


39458 


2-53432 


41490 


2-41025 


43.550 


2-29619 


28 


33 


37488 


2-66752 


39492 


2-532U 


41524 


2-40827 


43585 


2-29437 


27 


34 


37521 


2-66516 


39.526 


2-53001 


41558 


2-40629 


43620 


2-29254 


26 


35 


37554 


2-66281 


39559 


2-52786 


41592 


2-40432 


43654 


2-29073 


25 


36 


37588 


2-66046 


39593 


2 -.52571 


41626 


2-40235 


43689 


2-28891 


24 


3T 


37621 


2-65811 


39626 


2-52.337 


41660 


2-400.58 


43724 


2-28710 


23 


38 


37654 


2-65376 


39660 


2-52142 


41694 


2-39841 


43758 


2-28528 


22 


39 


37687 


2-65342 


39694 


2-51929 


41728 


2-39645 


43793 


2-28348 


21 


40 


37720 


2-65109 


39727 


2-51715 


41763 


2-39449 


43828 


2-28167 


20 


41 


37754 


2-61875 


397C1 


2-51.502 


41797 


2-39253 


43862 


2-27987 


19 


42 


37787 


2-64642 


39795 


2-51289 


41831 


2-39058 


43897 


2-27806 


18 


43 


37820 


2-64410 


39829- 


2-51076 


41865 


2-38862 


43932 


2-27626 


17 


44 


37853 


2-64177 


39862 


2-50864 


41899 


2-38668 


43966 


2-27447 


16 


45 

46 


37887 


2-63945 


39896 


2-50652 


41933 


2-38473 


44001 


2-27267 


15 


37920 


2-63714 


39930 


2-50440 


41968 


2-38279 


44036 


2-27088 


14 


47 


37953 


2-63483 


39963 


2-50229 


42002 


2-38084 


44071 


2-26909|l3 i 


48 


37986 


2-63252 


39997 


2-50018 


42036 


2-37891 


44105 


2-26730 


12 


49 


88020 


2-63021 


40031 


2-49807 


42070 


2-37697 


44140 


2-265.52 


11 


50 


38053 


2-62791 


40065 


2-49597 


42105 


2-37504 


44175 


2-26374 


10 


61 


38086 


2-62561 


40098 


1 2-49386 


42139 


2-37311 


44210 


2-26196 


» 


S2 


38120 


2-62332 


40132 


] 2-49177 


42 173 


2-37118 


44244 


2-26018 


8 


53 


38153 


2-62103 


40166 


2-48967 


42207 


2-36925 


44279 


2-25840 


7 


54 


38186 


2-61874 


40200 


2-43758 


42242 


2-36733 


44314 


2.25663 


g 


55 


38220 


2-61646 


40234 


2-48549 


42276 


2-36541 


44349 


i 2-25486 


5 


56 


38253 


2-61418 


40267 


2-48340 


42310 


2-36349 


44384 


2-25309 


4 


57 


38286 


2-61190 


40301 


2-48132 


42345 


2-36158 


44418 


2-25132 


3 


58 


38320 


2-60963 


4033.'- 


2-47924 


42379 


2-35967 


44453 


2-24956 


2 


59 


38353 


2-60736 


40369 


2-47716 


42413 


2-35776 


44488 


2-24780 


1 


60 


38386 


2-60509 


40403 


. 2-47509 


42447 


2-35585 


44523 
N. Cot 


2-24604 
' N.Tan. 



M 


R Cot.( N.Tan. 


N. Cot 


! N.Tan. 


N. Cot 


N. Tan. 


tea Degrees. 


67 r 


agrees. 


1 6G' Degrees. 


1 65 Degrees. 



TABLE OF NATURAL TANGENTS. 



107 





24 Degrees. | 


25 D 

N.Tan. 


agrees. 
N. Cot. 


26 Degrees. ] 


27 Degrees. 


M 

60 


M 


N.Tan. 


N. Cot. 


N.Tan. 


N. Cot. 


N. Tan. 


N. Cot. 





44523 


2-24604 


46631 


2-14451 


48773 


2 05030 


50953 


1-96261 


1 


44558 


2-24428 


46666 


2- 


14288 


48809 


2-04879 


50989 


1-96120 


59 


2 


44593 


2-24252 


46702 


2- 


14125 


48845 


2-04728 


51026 


1-95979 


58 


3 


44627 


2-24077, 


46737 


2- 


13963 


48881 


2-04577 


51063 


1-95838 


57 


4 


44662 


2-23902 


46772 


2- 


13801 


48917 


2-04426 


51099 


1-95698 


56 


5 


44697 


2-23727i 


46808 


2- 


13639 


48953 


2-04276 


51136 


1-95557 


55 


6 


44732 


2-23553 


46843 


2- 


13477 


48989 


2-04125 


51173 


1-95417 


54 


7 


44767 


2-2.3378 


46879 


2- 


13316 


49026 


2-03975 


51209 


1-95277 


53 


8 


44802 


2-23204 


46914 


2- 


13154 


49062 


2-03825 


51246 


1-95137 


52 


9 


44837 


2-23030 


46950 


2- 


12993 


49098 


2-03675 


51283 


1-94997 


51 


10 


44872 


2-2285 7, 


46985 


2 


12832 


49134 


2-03526 


51319 


1-94858 


50 


11 


44907 


2-22683 


47021 


2 


12671 


49170 


2-03376 


51356 


1-94718 


49 


12 


44942 


2-22510' 


47056 


2 


12511 


49206 


2-03227 


51393 


1-94579 


48 


13 


44977 


2-22337; 


47092 


2 


12350 


49242 


2-03078 


51430 


1-94440 


47 


14 


45012 


2-22164 


47128 


2 


12190 


49278 


2-02929 


51467 


1-94301 


46 


15 


45047 


2-21992; 


47163 


2 


12030 


49315 


2-02780 


51503 


1-94162 


44 


Te 


45082 


2-21819 


47199 


~Y 


11871 


49351 


2-02631 


51540 


1-94023 


ir 


45117 


2-21647; 


47234 


2 


11711 


49387 


2-02483 


51577 


1-93885 


43 


18 


45152 


2-21475 


47270 


2 


11552 


49423 


2-02335 


51614 


1-93746 


42 
41 


19 


45187 


2-21304' 


47305 


2 


11392 


49459 


2-02187 


61651 


1-93608 


20 


45222 


2-2U32 


47341 


2 


11233 


49495 


2-02039 


51688 


1-93470 


40 


21 


45257 


2-20961 


47377 


2 


11075 


49532 


2-01891 


51724 


1-93332 


39 


22 


45292 


2-20790, 


47412 


2 


10916 


49568 


2-01743 


51761 


1-93197 


38 


23 


45327 


2-20619 


47448 


2 


10758 


49604 


2-01596 


51798 


1-93057 


37 


24 


45362 


2-20449 


47483 


2 


10600 


49640 


2-01449 


51835 


1 - 92920 


36 


25 


45397 


2-20278' 


^47519 


2 


10441 


49677 


2-01.302 


51872 


1-92782 


35 


26 


45432 


2-20108 


47555 


2 


10284 


49713 


2-01155 


51909 


1-92645 


34 


27 


45467 


2-1993S| 


47590 


2 


00126 


49749 


2-01008 


51946 


1-92508 


33 


28 


45502 


2-19769 


47626 


2 


09969 


49786 


2-00862 


51983 


1-92371 


32 


29 


45537 


2-19599 


47662 


2 


09811 


49822 


2-00715 


52020 


1-92235 


31 


30 


45573 


2-19430 
2-19261 


47698 


2 


09654 


49858 
49894 


2-00569 


52057 


1-92098 


30 


"il 


45608 


47733 


2 


09498 


2-00423 


52094 


1-91962 


29 


32 


45643 


2-19092 


47769 


2 


09341 


49931 


2-00277 


52131 


1-91825 


28 


33 


45678 


2-18923 


47805 


2 


09184 


49967 


2-00131 


52168 


1-91690 


27 


34 


45713 


2-18755 


47840 


2 


09028 


50004 


1-99936 


52205 


1-91554 


26 


35 


45748 


2-18587 


47876 


2 


08872 


50040 


1-99841 


52242 


1-91418 


•25 


36 


45784 


2-18419 


47912 


2 


08716 


50076 


1-99695 


52279 


1-91282 


24 


37 


45819 


2- 18-251 


47948 


2 


08560 


50113 


1-99550 


5-2316 


1-91148 


23 


38 


45854 


2-18084 


479S4 


2 


08405 


50149 


1-99406 


52353 


1-91017 


22 


39 


45889 


2-17916 


48019 


2 


03250 


50185. 


1-992C1 


52390 


1-90876 


21 


40 


45924 


2-17749 


4S055 


2 


08094 


50222 


1-99116 


52427 


1-90741 


20 


41 


45960 


2-17582 


48091 


2 


07939 


50253 


1 .98972 


524G1 


1-906,07 


19 


42 


45995 


2-17416 


48127 


2 


07785 


50295 


1-98828 


.52501 


1 - 90472 


18 


43 


46030 


2-17249 


48163 


2 


07630 


50331 


1-98634 


52538 


1-90337 


17 


44 


46065 


2-170S3 


48198 


2 


07476 


50368 


1-98510 


52575 


1-90203 


16 


45 


46101 


2-1G917 


48234 


2 


07321 


50404 


1-98396 


.52613 
526.50 


1-90069 


15 
14 


46 


45136 


'2-16751 


48270 


T 


07167 


50441 


1-98253 


1-89935 


47 


46171 


2-16585 


48306 


2 


07014 


50477 


1-98110 


52687 


1-89801 


13 


48 


462U6 


2-16420 


43342 


2 


06860 


50514 


1-97966 


52724 


1-89667 


12 


49 


46242 


2-16255 


48378 


2 


06706 


50550 


1 - 97823 


52761 


1-89533 


11 


50 


46277 


2-16090 


48414 


2 


06553 


50587 


I -97680 


52798 


1-89400 


10 


51 


46312 


2-15925 


48450 


2 


06400 


50623 


1-97538 


52836 


1-89266 


9 


52 


46348 


2-15760 


48486 


2 


06247 


50(JSO 


1-97395 


52873 


1-89133 


8 


53 


46383 


2-15596 


48521 


2 


0G094 


50696 


1 - 97253 


52910 


1-89000 


7 


54 


46418 


2-15432 


48557 


2 


05942 


50733 


1-97111 


52947 


1-88867 


6 


55 


46454 


2-15-268 


48593 


2 


05789 


50769 


1-96969 


52984 


1-88734 


5 


56 


46489 


2-15104 


48629 


2 


05637 


50806 


1-96827 


53024 


1-88602 


4 


57 


46.525 


2-14940 


48665 


2 


05485 


50843 


1-96635 


53059 


1-88469 


3 


58 


46560 


2-14777 


48701 


2 


05333 


50879 


1-96544 


53096 


1-88337 


2 


59 


46595 


2^14614 


48737 


2 


05182 


50916 


1-96402 


53134 


1-88205 


1 


J2 


46631 


2-14451 


48773 


2 


05030 


50953 


1-96261 


53171 


1-88073 
N. Tan. 





If 


N. Cot. 


N. Tan. 


N. Cot. 


N 


Tan. 


N. Cot 


N. Tan. 


N. Cot. 


M 




65 D 


agrees. 


G4D 


egi 


ees. 


63 D 


egrees. 


62 D 


egrees. 





108 



TABLE or NATURAL TANGENTS. 





28 Degrees. 


29 Degrees. 


30 Degreefi. 


31 Degrees. 




M 


N. Tan. 


N. Cot. 


N. Tan. 


N. Cot. 


N. Tan. 


N. Cot. 


N.fan^ 


N. Cot. 


M 





53171 


1-88073 


55431 


1-80405 


57735 


1-73205 


60086 


1-66428 


60 


1 


53208 


1 -87941 


55469 


1-80281 


57774 


1-73089 


60126 


1-66318 


59 


2 


53246 


1-87809 


55507 


1-80158 


57813 


1-77973 


G0165 


1-66209 


58 


3 


53283 


1-87677 


55545 


1-80034 


57851 


1-72857 


60205 


1-60099 


57 


4 


53320 


1-87546 


55.583 


1-79911 


57890 


1-72741 


60245 


1-65990 


56 


5 


53358 


1-87415 


55G2I 


1-79788 


57929 


1-72625 


60284 


1-65881 


55 


S 


53395 


1-87283 


55659 


1-79665 


57968 


1 • 72509 


60324 


1 - 65772 


54 


53432 


1-87152 


55697 


1-79542 


58007 


1-72393 


60364 


1-65663 


53 


53470 


1-87021 


55736 


1-79419 


58046 


1-72278 


60403 


1-65554 


52 


f) 


53507 


1-86S91 


55774 


1 • 79296 


58085 


1-72163 


60443 


1-65445 


51 


10 


53545 


1-86760 


55812 


1-79174 


58124 


1-72047 


60483 


1-95337 


50 


11 


53582 


1-86630 


55850 


1-79051 


58162 


1-71932 


60522 


1-65228 


49 


12 


53620 


1-86499 


55888 


1-78929 


58201 


1-71817 


60562 
60602 


1-65120 


48 


13 


53657 


1-86369 


55926 


1 • 78807 


58240 


1-71702 


1-65011 


47 


14 


53694 


1-86230 


56964 


1 • 78685 


58279 


1-71588 


60642 


1-64903 


46 




53732 


1-86109 


56003 


1-78563 


58318 


1-71473 


60681 


1-64795 


45 


7g 


53769 


1-85979 


56041 


1-78441 


58357 


1-71358 


60721 


1-64687 


44 


17 


53807 


1-85850 


5C079 


1-78319 


58396 


1-71244 


60761 


1-64579 


43 


18 


53S44 


1-85720 


56117 


1-7819S 


58435 


1-71129 


60801 


1-64471 


42 


19 


53882 


1-75591 


56156 


1-78077 


58474 


1-71015 


60841 


1-64363 


41 


20 


53920 


1-85462 


56194 


1-77955 


58513 


1-70901 


60881 


1-64256 


40 


21 


53957 


1-85333 


56232 


1 - 77834 


58552 


1-70787 


60921 


1-64148 


39 


22 


53995 


1-85204 


56270 


1-77713 


58591 


1-70673 


60960 


1-64041 


38 


23 


54032 


1-85075 


56309 


1-77592 


58631 


1-70560 


61000 


1-63933 


37 


24 


54070 


1-8494G 


56347 


1-77471 


58670 


1 - 70446 


61040 


1-63826 


36 


25 


54107 


1-84818 


563S5 


1-77351 


58709 

58748 


1-70332 


61080 


1-63719 


35 


20 


54145 


1-84689 


56424 


1-77230 


1-70219 


61120 


1-63612 


34 


27 


54183 


1-84561 


56462 


1-77110 


58787 


1-70106 


61160 


1-63505 


33 


28 


54220 


1-84433 


56500 


1-76990 


58820 


1-79992 


61200 


1-63398 


32 


21) 


54258 


1-84305 


50539 


1-76869 


58805 


1-69879 


61240 


1-63292 


31 


30 

IT 


54296 


1-84177 


56577 


1-76749 


58904 


1-69766 


61280 


1-63185 


30 


54333 


1-84049 


56616 


1-76629 


58944 


1-69653 


61320 


1-63079 


^ 


32 


54371 


1 - 83922 


56054 


1-76510 


58983 


1-69541 


61360 


1-62972 


28 


33 


54409 


1-83794 


50693 


1-76390 


59022 


1-69428 


61400 


1-62866 


27 


34 


54446 


1-83667 


56731 


1-76271 


59061 


1-69315 


61440 


1-62760 


26 


35 


54484 


1-83540 


56769 


1-76151 


59101 


1-69203 


61480 


1-62654 


25 


36 


54522 


1-83413 


56808 


1-76032 


59140 


1-69091 


61520 


1 - 62548 


24 


37 


54560 


1-83286 


56846 


1-75913 


59179 


1-68979 


61501 


1 ■ 62442 


23 


38 


54597 


1-83159 


50885 


1-75794 


59218 


1-68866 
1-08754 


61601 


1-62336 


22 


39 


54635 


1-83033 


56923 


1-75075 


59258 


61641 


1 - 62230 


21 


40 


5467 3 


1- 8-2906 


57962 


1-7.5.556 


59297 


1-68043 


61081 


1-62125 


20 




54711 


1 -82780 


57000 


1-75437 


59336 


1 -08531 


61721 


1-02019 


19 


42 


54748 


1-82654 


57C39 


1-75319 


59370 


1- 08419 


6i701 


1-61914 


18 


43 


547S6 




57078 


1 - 75200 


59415 


1 - 08308 


61801 


1-61808 


17 


4 4 


54S24 


1-82402 


57116 


1-75082 


59454 


1-68196 


61842 


1-61703 


16 


45 
46 


54862 
~54900 


1-8227 6 
1-82150 


57155 


1-74904 


59494 


1 • 08085 


61882 


1-61598 


15 


57193 


l-74S)(i 


59533 


1-07974 


01922 


1-61493 


14 


47 


54.933 


1-82025 


57-232 


1-74728 


59573 


J -67869 


61902 


1-61388 


13 


48 


54975 


1-81899 


57271 


1-74610 


59012 


1-67752 


62003 


1-61283 


12 


49 


55013 


1-81774 


57309 


1-74492 


59051 


1-67041 


02043 


1-01179 


n 


50 


55051 


1-81049 


5734.: 


1-74375 


59091 


1-07 530 


62083 


1-01074: 10 


51 


55GS9 


1-81524 


57380 


1-74257 


59730 


1-67419 


62124 


1-60970 


9 


52 


55127 


1-81399 


57425 


1-74140 


59770 


1-67309 


62164 


1-60865 


8 


53 


55165 


1-81274 


57404 


1-74022 


59809 


1-67198 


62204 


1-60761 


7 


54 


55203 


1-811.50 


57503 


1-73905 


59849 
59888 
59928 


1-67088 


62245 


1-60657 


6 


55 


55241 


1-81025 


57541 


1-73788 


1-66978 


62285 


1-60553 


5 


56 


55279 


1-80901 


57580 


1-73671 


1-66867 


62325 


1-60449 


4 


57 


55317 


1-80777 


57619 


1-73555 


59967 


1-66757 


62366 


1-60345 


3 


58 


55355 


1-80653 


57657 


, 1-73438 


60007 


1-66647 


62406 


1-60241 


2 


59 


55393 


1-80.529 


57696 


1-73321 


60046 


1-66538 


62446 


1-60137 


1 


60 

11 


5.5431 


1-80405 


57735 


1-73205 


60086 


1-66428 


62487 


1-00033 
N. Tan. 
agrees. 





.N. Cot. 


N. Tan. 


N. Cnt. 


N.Tan. 


N. Cot. 


N. Tan. 


1 58 D 


M 


1 61 D 


egrees. II 60 D 


egrees. 


1 59 D 


egrees. 


_ 



TABLE OF NATURAL TANGENTS. 



109 





32 Degrees. 


33 D 


Rgrees. 
N. Cot. 


34 Degrees. 


35 Degrees. 


M 


M 



N. Tan. 


N. Cot. 


N.Tan. 


N.Tan. 


N. Cot. 


N. Tan. 


N. Col. 


62487 


1-60033 


64941 


1-53986 


67451 


1-48256 


70021 


1-4-2815 


60 


1 


62527 


1-59930 


64982 


1-53888 


67493 


1-48163 


70064 


1-42726 


59 


2 


62568 


1-53826 


65023 


1-53791 


67536 


1-48070 


70107 


i- 42638 


58 


3 


62608 


1-59723 


65065 


1-53693 


67578 


1-47977 


70151 


1-42550 


57 


4 


62649 


1-59620 


65106 


1-53595 


67620 


1-47885 


70191 


1-42462 


56 


5 


62689 


1-59517 


65148 


1-53497 


67663 


1-47792 


70238 


1-42374 


55 


6 


62730 


1-59414 


65189 


1-53400 


67705 


1-47699 


70281 


1-42286 


54 


7 


62770 


1-59311 


65231 


1-53302 


67748 


1-47607 


70325 


1-42198 


53 


8 


62811 


1-59203 


65272 


1-53205 


67790 


1-47514 


70368 


1-42110 


52 


9 


62852 


1-59105 


65314 


1-53107 


67832 


1-47422 


70112 


1 - 42022 


51 


10 


62892 


1-59002 


65355 


1-53010 


67875 


1-47330 


70455 


1-41934 


50 


11 


62933 


1-58900 


65397 


1-52913 


67917 


1-47238 


70499 


1-41847 


49 


12 


62973 


1-58797 


65438 


1-52816 


67960 


1-47146 


70542 


1-41759 


48 


13 


63014 


1-58695 


65480 


1-52719 


68002 


1-47053 


70586 


1-41672 


47 


14 


63055 


1-58593 


65521 


1-52622 


68045 


1 .46962 


70629 


1-41584 


46 


15 

"Te 


63U95 


1-.58490 


65563 
65604 


1-52525 


68088 


1-46870 


70673 


1-41497 


45 


63136 


1-58388 


1-52429 


68130 


1-46778 


70717 


1-41409 


44 


17 


63177 


1-58286 


65646 


1-52332 


68173 


1-46686 


70760 


1-41322 


43 


18 


63217 


1-58184' 


65688 


1-52235 


68215 


1-46595 


70804 


1-41235 


42 


19 


63258 


1-58083' 


65729 


1-52139 


66258 


1-46503 


70848 


1-41148 


41 


20 


63299 


l-5798l| 


65771 


1-52043 


68301 


1-46411 


70891 


1-41061 


40 


21 


63340 


1-57879 


65813 


1-51946 


68343 


1-46320 


70935 


1-40974 


39 


22 


63380 


1-57778, 


65854 


1-51850 


68386 


1-46229 


70979 


1-40S87 


38 


23 


63421 


1-57676 


65896 


1-51754 


68429 


1-46137 


71023 


1-40800 


37 


24 


63462 


1-57575 


65938 


1-51658 


68471 


1-46046 


71066 


1-40714 


36 


25 


63503 


1-57474 


65980 


1-51562 


68514 


1-45955 


71110 


1-40627 


35 


26 


63544 


1-57372 


66021 


1-51466 


68557 


1-45864 


71154 


1-40540 


34 


27 


63584 


1-57271 


66063 


1-51370 


68600 


1-45773 


71198 


1-40454 


33 


28 


63625 


1-57170; 


66105 


1-51275 


68642 


1-45682 


71242 


1-40368 


32 


29 


63666 


1-57069 


66147 


1-51179 


68685 


1-45592 


71285 


1-40281 


31 


30 
31 


63707 


1-56969 
1-56868 


66189 


1-51084 


68728 


1-45501 


71329 


1-40195 


30 
29 


63748 


66230 


1-50988 


68771 


1-45410 


71373 


1-40109 


32 


63789 


1-56767 


66272 


1-50893 


68814 


1-45320 


71417 


1-40022 


28 


33 


63830 


1-56667 
1-56566 


66314 


1-50797 


63857 


1-4.5229 


71461 


1-39936 


27 


34 


63871 


66356 


1-50702 


68900 


1-45139 


71505 


1-39850 


26 


35 


63912 


1-56466 


66398 


1-50607 


68942 


1-45048 


71549 


1-39764 


25 


36 


63953 


1-56366' 


66440 


1-50512 


68985 


1-44953 


71593 


1-39679 


24 


37 


63994 


1-56265; 


66482 


1-50417 


69028 


1-44868 


71637 


1-39593 


23 


38 


64035 


1-56165 


66524 


1-50322 


69071 


1-44778 


71681 


1-39507 


22 


39 


64076 


1-56065 


66566 


1 - 50228 


69114 


1-44688 


71725 


1-39421 


21 


40 


64117 


1-55966 


66608 


1-50133 


69157 


1-44598 


71769 


1-39336 


20 


41 


64158 


1-55866 


666.50 


1-50038 


69200 


1-44508 


71813 


1-39250 


19 


42 


64199 


1-55766 


66692 


1-49944 


69243 


1-44418 


71857 


1-39165 


18 


43 


64240 


1-55666 


66734 


1-49849 


69286 


1-44329 


71901 


1-39079 


17 


44 


64281 


1-55567 


66776 


1-49755 


69329 


1-44239 




1 -.33994 


16 


45 
"46 


64322 
64363 


1-55467 


66818 


1-49661 


69372 


1-44149 


71990 


1-38909 


15^ 
14 


1-55368; 


66860 


1-49566 


69416 


1-44060 


72034 


1-33324 


47 


64404 


1-55269 


66902 


1-49472 


69459 


1-43970 


72078 


1-38738 


13 


48 


64446 


1-55170 


66944 


1-49378 


69502 


1-4.3881 


72122 


1-38653J10 1 


49 


64487 


1-55071 


66986 


1-49284 


69545 


1-43792 


72166 


l-38568|ll fi 


50 


64528 


1-54972 


67028 


1-49190 


69588 


1-43703 


72211 


1-38484 


10 


51 


64569 


1-54873 


67071 


1 - 49097 


69631 


1-43614 


72255 


1-38399 


9 


52 


64610 


1-547741 


67113 


1-49003 


69675 


1-4.3525 


72299 


1-38314 


8 


53 


64652 


1-54675 


67155 


1-48909 


69718 


1-43436 


72344 


1-38229 


7 


54 


64693 


1-54576 


67197 


1-48816 


69761 


1-43347 


72388 


1-38145 


6 


55 


64734 


1-54478, 


67239 


1-48722 


69804 


1-43-258 


72432 


1-38060 


5 


56 


64775 


1-54379 


67282 


1-4S629 


69847 


1-43169 


72477 


1-37976 


4 


57 


64817 


1-54281 


67324 


1-48536 


69891 


1-4.3080 


72521 


1-37891 


3 


58 


64858 


1-54183 


67366 


1-48442 


69934 


1-42992 


72565 


1-37807 


2 


59 


64899 


1-54085 


67409 


1-48349 


69977 


1-42903 


72610 


1-37722 


1 


60 
M 


64941 


1-53986 


67451 


1-48256 


70021 


1-4-2815 


72654 
N. Cot. 


1-37638 





N. Cot. 


N.Tan. 


nTc^T 


N. Tan. 


N. Cot 


N. Ta... 


N. Tan. 


M 


57 De-rees. 


50 Decrees. 


55 D 


egrees. 


5iD 




egrees. 


.„ 



no 



TABLE OF NATURAL TANGENTS. 



M 


36 D 


egrees. 


37 Degrees. 


38 Degrees. 


39 D 

N.Tan. 


egrees. 
N. Cot. 
1-23489 


M 

60 


N. Tan. 


N. Cot.. 


N. Tan. 


N. Cot. 


N.Tan. 


N. Cot. 


~0 


72654 


!• 37638 


75355 


1-32704 


78129 


1-27994 


80978 


1 


72699 


1-37554 


75401 


1-32624 


78175 


1-27917 


81027 


1-23416 


59 


2 


72743 


1-37470 


75447 


1-32544 


78222 


1-27841 


81075 


1-23343 


58 


3 


72788 


1-37386 


7549-2 


1-32464 


78269 


1-27764 


81123 


1-23270 


57 


4 


72832 


1-37302 


75538 


1 - 32384 


78316 


1-27688 


81171 


1-23196 


56 


5 


72877 


1-37218 


75584 


1-32304 


78363 


1-27611 


81220 


1-93123 


55 


6 


72921 


1-37134 


75629 


1 - 32224 


78410 


1-27535 


81268 


1-23050 


54 


7 


72966 


1-37050 


75675 


1-32144 


78457 


1-27458 


81316 


1-2-2977 


53 


8 


73010 


1-36967 


75721 


1-32064 


78504 


1-27382 


81364 


1-22904 


52 


g 


73055 


1-36883 


75767 


1-31984 


78551 


1-27306 


81413 


1-22831 


51 


10 


73100 


1-36800 


75812 


1-31904 


78598 


1-27230 


81461 


1-22758 


50 


11 


73144 


1-36716 


75858 


1-31825 


78645 


1-27153 


81510 


1-22685 


49 


1-2 
13 


73189 


1-36633 


75904 


1-31745 


78692 


1-27077 


81558 


1-22612 


48 


73234 


1-36549 


75950 


1-31666 


78739 


1-27001 


81606 


1-22539 


47 


14 
15 
16 


73278 


1-36466 


75996 


1-31586 


78786 


1-26925 


81655 


1-22467 


46 


73323 

73368 


1-36383 


760(2 


1-31507 


78834 


1-26849 


81703 


1-22394 


45 


1-36300 


/ 6(is5 


1-31427 


78881 


1-26774 


81752 


1-22321 


44 


17 


73413 


1-36217 


76134 


1-31348 


78928 


1-26698 


81800 


1-22249 


43 


18 


73457 


1-36133 


76180 


1-31269 


78975 


1-26622 


81849 


1-22176 


42 


19 


73502 


1-36051 


76226 


1-31190 


79022 


1-26546 


81898 


1-22104 


41 


20 


73547 


1-35968 


76272 


i-31110 


79070 


1-26471 


81946 


1-22031 


40 


21 


73592 


1-3.5885 


76318 


1-31031 


79117 


1-26395 


81995 


1-21959 


39 


22 


73637 


1-35802 


76364 


1-30952 


79164 


1-26319 


82044 


1-21886 


38 


23 


73681 


1-35719 


76410 


1-30873 


79212 


1-26244 


82092 


1-21814 


37 


24 


73726 


1-3.5637 


70456 


1-30795 


79259 


1-26169 


82141 


1-21742 


36 


25 


73771 


1-35554 


76502 


1-30716 


79306 


1-26093 


82190 


1-21670 


35 


26 


73816 


1-35472 


76548 


1-30637 


79354 


1-26018 


82238 


1-21598 


34 


27 


73816 


1-35389 


76594 


1-30558 


79401 


1-25943 


82287 


1-21526 


33 


28 


73906 


1-35307 


76640 


1-30480 


79449 


1-2.5867 


82336 


1-21454 


32 


29 


73951 


1 • 35-224 


76686 


1-30401 


79496 


1-25792 


82385 


1-21382 


31 


30 
31 


73996 


1-35142 


76733 


1 - 30323 


79544 


1-25717 


82434 


1-21310 


30 


74041 


1-35060 


76779 


1 - 30244 


79591 


1-25642 


82483 


1-21238 


29 


32 


74086 


1-34978 


76S25 


1-30166 


79639 


1-25567 


82531 


1-21166 


28 


33 


74131 


1-34896 


76871 


1-30087 


79686 


1-25492 


82580 


1-21094 


27 


34 


74176 


1-34814 


76918 


1-30009 


79734 


1-25417 


82629 


1-21023 


26 


35 


74221 


1 • 34732 


76964 


1-29931 


79781 


1-25343 


82678 


1-20951 


25 


36 


74267 


1-34650 


77010 


1-29853 


79829 


1-25268 


82727 


1-20879 


24 


37 


74312 


1-34568 


77057 


1-29775 


79877 


1-25193 


82776 


1-20808 


23 


38 


74357 


1-34487 


77103 


1-29696 


79924 


1-25118 


82825 


1-20736 


22 


39 


74402 


1-34405 


77149 


1-29618 


79972 


1-25044 


82874 


1-20665 


21 


40 


74447 


1 - 34323 


77196 


1-29541 


80020 


1-24969 


82923 


1-20593 


20 


41 


74492 


1-34242 


77242 


1-29463 


80067 


1-24895 


82972 


1-20522 


19 


42 


74538 


1-34160 


77289 


1-29385 


80115 


1-24820 


83022 


1-20451 


18 


43 


74583 


1-34079 


77335 


1-29307 


80163 


1-24746 


83071 


1-20379 


17 


44 


74628 


1-33998 


77382 


1-29229 


80211 


1-24672 


83120 


1-20308 


16 


45 


74674 


1-33916 


77428 


1-29152 


80258 
80306 


1-24597 


83169 


1-20237 


15 
14 


"46 


74719 


1-33835 


77475 


1-29074 


1-24523 


83218 


1-20166 


47 


74764 


1-33754 


77521 


1-28997 


80354 


1-24449 


83268 


1-20095 


13 


48 


74810 


1-33673 


77568 


1-28919 


80402 


1-24375 


83317 


1-20024 


12 


49 


74855 


1-33592 


77615 


1-28842 


80450 


1-24301 


83366 


1-19953 


11 


50 


74900 


1-33511 


77661 


1-28764 


80498 


1-24227 


83415 


1-19882 


10 


51 


74946 


1-33430 


77708 


1-28687 


80546 


1-24153 


83465 


1-19811 


9 


52 


74991 


1-33349 


77754 


1-28610 


80594 


1-24079 


83514 


1-19740 


8 


53 


75037 


1-33268 


77801 


1-28533 


80642 


1-24005 


83564 


1-19669 


7 


54 


75082 


1-33187 


77848 


1-28456 


80690 


1-23931 


83613 


1-19599 


6 


55 


75128 


1-33107 


77895 


1-28379 


80738 


1-23858 


83662 


1-19528 


5 


56 


75174 


1-33026 


77941 


1-28302 


80786 


1-23784 


83712 


1-19457 


4 


57 


75219 


1-32946 


77988 


1-28225 


80834 


1-23710 


83761 


1-19387 


3 


58 


75264 


1-32865 


77035 


1-28148 


80882 


1-23637 


83811 


1-19316 


2 


59 


75310 


1-32785 


77082 


1-28071 


80930 


1-23563 


83860 


1-19246 


1 


60 

M 


75355 

N. Cot. 


1-32704 


77129 


1-27994 


80978 


1-23490 


83910 


1-19175 





^ N.Tan. 


N. Cot. 


N.Tan. 


N. Cot. 


N. Tan. 


N. Cot. 

50 D 


N. Tan. 
egrees. 


M 


53 D 


egree.s. 


52 D 


egrees. 


1 51 D 


egrees. 





TABLE OF NATURAL TANGENTS. 



11] 



M 




40 Degrees. 


41 Degrees. | 


42 Degrees. | 


43 Degrees. | 


M 


N. Tan. 


N. Cot. 


N.Tan. 


N. Cot. 


N. Tan. 


N. Cot. 1 


N. Tan. 


N. Cot. 


83910 


1-19175 


S6929 


1-15037 


90040 


M1061I 


93252 


1-07237 


60 




83960 


1 -191051 


86980 


1-14969 


90093 


1-10996! 


93306 


1-07174,59 


2 


84009 


M9035 


87031 


1-14902 


90146 


1-10931 


93360 


1-0711208 


3 


84059 


1-18964 


87082 


1-14834 


90199 


1-10867 


93415 


1-07049|57 


4 


84108 


1-18894 


87133 


1-14767 


90251 


1-10802 


93469 


1-06987156 


5 


84158 


1-188-24 


87184 


1-14699 


90304 


1-10737 


93.524 


1-06925155 


6 


84208 


1-18754 


87235 


1-14632 


90357 


1-10672 


93578 


1-06862 54 


7 


84258 


1-18684 


87287 


1-14565 


90410 


1-10607 


93633 


1-06800J53 


8 


84307 


1-18614 


87338 


1-14498 


90463 


1-10543 


93688 


, 1 -06738, 52- 


9 


8435? 


1-13544 


87389 


1-14430 


90516 


1-10478 


93742 


1-06676151 


10 


84407 


1-18474 


87441 


1-14363 


90569 


1-10414 


93797 


1-O6613j50 


11 


84457 


1-18404 


87492 


1-14296 


90621 


1-10349 


93852 


1-06551 49 


12 


84507 


1-18334 


87543 


1-14229 


90674 


1-10285 


93906 


1-06489 48 


13 


84556 


1-18264 


87595 


1-14162 


90727 


1-10220 


93961 


1-06427 


47 


14 


84606 


1-18194 


87646 


1-14095 


90781 


1-10156 


94016 


1-06365 


46 


15 


84656 
84706 


1-18125 


87698 


1-14028 


90834 


1-10091 


94071 


1-06303 


45 


16 


MS055 


"87749 


1-13961 


90887 


1-10027 


94125 


1-06241 


17 


84756 


1-17986 


87801 


1-13894 


90940 


1-09963 


94180 


1-06179 


43 


18 


S4S06 


1-17916 


878.52 


1-13828 


90993 


1-09899 


94235 


1-06117 


42 


19 


84856 


1-17846 


87904 


1-13761 


91046 


1-09834 


94290 


1-06056 


41 


20 


84906 


1-17777 


87955 


1-13694 


91099 


1-09770 


94345 


1-05994 


40 


21 


84956 


1-17708 


88007 


1-13627 


91153 


1-09706 


94400 


1-05932 


39 


22 


85006 


1-17638 


88059 


1-13561 


91206 


1-09642 


94455 


1-05870 


38 


23 


85057 


1-17569 


88110 


1-13494 


91259 


1-09578 


94510 


1-05809 37 


24 


85107 


1-17500 


88162 


1-13428 


91313 


1-09514 


94565 


1-0574736 


25 


85157 


1-17430 


88214 


1-13361 


91366 


1-09450 


94620 


1-05685 35 


26 


85207 


1-17361 


88265 


1-13295 


91419 


' 1-09336 


94676 


1-056241 34 


27 


85257 


1-17292 


88317 


1-13228 


91473 


1-09322 


94731 


r'05562|33 


28 


85307 


1-17223 


88369 


1-13162 


91.526 


1-09258 


94786 


1-05501132 


29 


85358 


1-17154 


88421 


1-13096 


91580 


1-09195 


94841 


1-0.5439 31 


30 


85408 


1-17085 


88473 


1-13029 


91633 


1-09131 
1-09067 


94896 


1-05378 30 


IT 


85458 


1-17010 


88524 


1-12963 


91687 


94952 


1-05317 


29 i 


32 


85509 


1-16947 


88576 


1-12897 


91740 


1-09003 


95007 


1-05255128 


33 


85559 


1-16878 


88628 


1-12831 


91794 


1-08940 


95062 


l-05194i27 


34 


85609 


1-16S09 


88680 


1-12765 


91847 


1-08876 


95118 


1-05133|26 


35 


85660 


1-16741 


88732 


1-12699 


91901 


1-08813 


95173 


1-05072 25 


36 


85710 


1-16672 


88784 


1-12633 


91955 


1-03749 


9.5229 


1-05010 24 


37 


85761 


1-16603 


88836 


1-12567 


92003 


1-08636 


95284 
95340 


1-04949 23 


38 


85811 


1-16535 


88888 


1-12501 


92062 


1-08622 


1-04888 22 


39 


85862 


1-16466 


88940 


1-12435 


92116 


1-08559 


95395 


1-04327121 


40 


85912 


1-1639S 


88992 


1-12369 


92170 


1-08496 


95451 


1-04766 


20 1 


41 


85963 


1-16329 


89045 


1-12303 


92223 


1-03432 


95506 


1 -.04705 


19 1 


42 


86014 


1-16261 


89097 


1 - 12238 


92277 


1-08369 


95562 


1-04644 


18 1 


43 


86064 


1-16192 


89149 


1-12172 


92331 


1-08306 


95618 


1-04583 




44 


86115 


1-16124 


89201 


1-12106 


92385 


1-08243 


95673 


1-04522 


16 1 


45 
"46 


86166 


1-16056 


' 89253 


1-12041 


92439 
92493 


1-08179 


95729 


1-04461 


15 S 


86216 


1-15987 


89306 


1-11975 


1-08116 


95765 


1-04401114 


47 


86267 


1-15919 


89358 


1-11909 


92547 


1-08053 


9-5841 


1-04340113 


48 


86318 


1-15851 


89410 


1-11844 


92601 


1-07990 


95S97 


1-04279 12 


49 


86368 


1^15783 


89463 


1-11778 


92655 


1-07927 


9G952 


1-04218,11 


50 


8G419 


1-15715 


89515 


1-U713 


92709 


1-078G4 


96008 


1-041581 10 


51 


86470 


1-15647 


89567 


1-11648 


92763 


1-07801 


96064 


1-04097: 9 


52 


86521 


1-15579 


89620 


1-11.532 


92817 


1-07733 


96120 


1-040361 8 


53 


86572 


1-15511 


89672 


1-11517 


92872 


1-07676 


96176 


1-039761 7 


.54 


86623 


1-15443 


89725 


1-11452 


92926 


1-07613 


96232 


1-039151 6 


55 


86674 


1-15375 


89777 


1-11387 


92980 


1-075.50 


96288 


1-03355 


5 


56 


86725 


1-15308 


89830 


1-11321 


93034 


1-07487 


96.344 


1-03794 


4 


57 


86776 


1-1.5-240 


89883 


1-11256 


93038 


1-07425 


96400 


1-03734 


3 


58 


86827 


1-15172 


89935 


1-11191 


93143 


1-07362 


96457 


1-03674 


2 


59 


86878 


1-15104 


89988 


1-11126 


93197 


1-07299 


96513 


1-03613 


1 


60 
M 


86929 


1-15037 


90040 


1-11061 


932.52 


1-07237 


96569 


1-03553 



M 


N. Cot 


N.Tan. IJN. Cot. 


N. Tan. 


N. Cot 


1 N. Tan. 


,N. Cot. 


1 N.Tan. 


49 D 


egrees. 1 48 D 


agrees. 


1 47 D 


egrees. 


1 46 Degrees. 



'^ 



112 



TABLE OF NATURAL TANGENTS. 





44 Degrees. ] || 


M 


N. Tan. 


N. Col. M 





96569 


1-03553 60 


1 


96625 


1-03493159 


ii 


96681 


1-03433 '58 


3 


96738 


1 -03372157 


4 


96794 


1-03312'56 


5 


96850 


1-0325255 


6 


96907 


1-03192 54 


7 


96963 


1-03132'53 


8 


97020 


1-03072:52 


9 


97076 


1-03012151 


10 


97133 


1-02952,50 


11 


97189 


1-02892:49 


12 


97246 


1-02832 '48 


13 


97302 


1-02772 47 


14 


97359 


l-02n3'46 


15 


97416 


1-02653 45 


16 


97472 


1-02593:44 


17 


97529 


1-02533 43 


18 


97586 


l-02474'42 


19 


97643 


1-02414'41 


20 


97700 


1-02355 40 


21 


97756 


1-02295 39 


22 


97813 


1-02236 38 


23 


97870 


1-02176 37 


24 


97927 


1-02117 36 


25 


97984 


1-02057 35 


26 


98041 


1-01998 34 


27 


98098 


1-01939 33 


28 


98155 


1-01879 32 


29 


98213 


1-01820 31 


30 


98270 


1-01761 30 


M 


N. Cot. 


N.Tan. - M 




45 D 


egrees. • -1 



44 Degrees. 



98327 
98384 
98441 
98499 

98613 
98671 



98901 
98958 
99016 
99073 
99131 
99189 



99247 
99304 
99362 
99420 
99478 
99536 
99594 
99652 
99710 
99768 
99826 
99884 
99942 
10000 



1-01702 
1-01642 
1-01583 
1-01524 
1-01465 
1-01406 
1-01347 
1-01288 
1-01229 
1-01170 
1-01112 
1-01053 
1-00994 
1-00935 
1-00876 
1-00818 



1-00759 
1-00701 
1-00642 
1-00583 
1-00525 
1-00467 
1-00408 
1-00350 
1-00201 
1-00233 
1-00175 
1-00116 
1-00058 
1-00000 



M N. Cot. N.Tan. 
I 45 Degrees. 



6 4 8 



m 



LIBRARY OF CONGRESS 



019 408 622 2 



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